TSTP Solution File: ALG064+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG064+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:08 EDT 2023
% Result : Theorem 12.86s 2.50s
% Output : Proof 74.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG064+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:21:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.41/1.50 Prover 4: Preprocessing ...
% 5.41/1.50 Prover 1: Preprocessing ...
% 5.41/1.51 Prover 2: Preprocessing ...
% 5.41/1.51 Prover 6: Preprocessing ...
% 5.41/1.51 Prover 0: Preprocessing ...
% 5.41/1.51 Prover 5: Preprocessing ...
% 5.41/1.51 Prover 3: Preprocessing ...
% 9.11/2.06 Prover 3: Constructing countermodel ...
% 9.11/2.06 Prover 4: Constructing countermodel ...
% 9.31/2.06 Prover 1: Constructing countermodel ...
% 9.31/2.07 Prover 2: Constructing countermodel ...
% 9.31/2.10 Prover 0: Constructing countermodel ...
% 10.26/2.14 Prover 6: Constructing countermodel ...
% 12.86/2.50 Prover 6: proved (1854ms)
% 12.86/2.50
% 12.86/2.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.86/2.50
% 12.86/2.50 Prover 3: stopped
% 12.86/2.50 Prover 2: stopped
% 12.86/2.50 Prover 0: stopped
% 12.86/2.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.86/2.51 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.86/2.51 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.86/2.51 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.70/2.65 Prover 5: Constructing countermodel ...
% 13.70/2.66 Prover 5: stopped
% 13.70/2.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 15.35/2.83 Prover 8: Preprocessing ...
% 15.86/2.90 Prover 10: Preprocessing ...
% 15.86/2.90 Prover 11: Preprocessing ...
% 15.86/2.95 Prover 7: Preprocessing ...
% 16.55/2.98 Prover 13: Preprocessing ...
% 16.55/2.99 Prover 8: Constructing countermodel ...
% 18.34/3.22 Prover 11: Constructing countermodel ...
% 18.34/3.23 Prover 10: Constructing countermodel ...
% 18.34/3.24 Prover 13: Constructing countermodel ...
% 18.34/3.27 Prover 7: Constructing countermodel ...
% 62.77/9.02 Prover 13: stopped
% 62.77/9.04 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 63.41/9.13 Prover 16: Preprocessing ...
% 65.05/9.37 Prover 16: Constructing countermodel ...
% 68.11/9.77 Prover 8: Found proof (size 14685)
% 68.11/9.77 Prover 8: proved (7156ms)
% 68.11/9.77 Prover 11: stopped
% 68.11/9.77 Prover 4: stopped
% 68.11/9.77 Prover 16: stopped
% 68.11/9.77 Prover 7: stopped
% 68.11/9.77 Prover 10: stopped
% 68.11/9.78 Prover 1: Found proof (size 14632)
% 68.11/9.78 Prover 1: proved (9152ms)
% 68.11/9.78
% 68.11/9.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.11/9.78
% 69.80/10.15 % SZS output start Proof for theBenchmark
% 70.12/10.22 Assumptions after simplification:
% 70.12/10.22 ---------------------------------
% 70.12/10.22
% 70.12/10.22 (ax1)
% 70.12/10.27 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.12/10.27 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.12/10.27 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.12/10.27 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.12/10.27 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.12/10.27 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 70.12/10.27 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 70.12/10.27 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 70.12/10.27 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 70.12/10.27 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 70.12/10.27 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 70.12/10.27 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 70.12/10.27 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 70.12/10.27 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.12/10.27 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 70.12/10.27 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 70.12/10.27 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 70.12/10.27 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 70.12/10.27 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 70.12/10.27 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 70.12/10.27 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 70.12/10.28 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 70.12/10.28 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 70.12/10.28 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 70.12/10.28 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 70.12/10.28 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 70.12/10.28 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 70.12/10.28 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 70.12/10.28 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 70.12/10.28 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 70.12/10.28 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 70.12/10.28 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 70.12/10.28 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 70.12/10.28 | v0 = e0))
% 70.12/10.28
% 70.56/10.28 (ax2)
% 70.56/10.28 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 70.56/10.28 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 70.56/10.28 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 70.56/10.28 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 70.56/10.28 unit = e0)
% 70.56/10.28
% 70.56/10.28 (ax3)
% 70.56/10.29 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.56/10.29 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.56/10.29 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.56/10.29 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.56/10.29 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.56/10.29 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 70.56/10.29 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 70.56/10.29 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 70.56/10.29 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 70.56/10.29 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 70.56/10.29 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 70.56/10.29 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 70.56/10.29 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 70.56/10.29 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.56/10.29 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 70.56/10.29 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 70.65/10.29 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 70.65/10.29 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 70.65/10.29 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 70.65/10.29 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 70.65/10.29 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 70.65/10.29 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 70.65/10.29 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 70.65/10.29 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 70.65/10.29 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 70.65/10.29 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 70.65/10.29 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 70.65/10.29 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 70.65/10.29 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 70.65/10.29 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 70.65/10.29 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 70.65/10.29 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 70.65/10.29 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 70.65/10.29 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 70.65/10.29 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 70.65/10.29 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 70.65/10.29 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 70.65/10.29 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 70.65/10.29 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 70.65/10.29 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 70.65/10.30 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 70.65/10.30 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 70.65/10.30 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 70.65/10.30 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 70.65/10.30 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 70.65/10.30 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 70.65/10.30 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 70.65/10.30 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 70.65/10.30 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 70.65/10.30 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 70.65/10.30 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 70.65/10.30 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 70.65/10.30
% 70.65/10.30 (ax4)
% 70.65/10.30 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.65/10.30 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.65/10.30 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.65/10.30 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.65/10.30 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.65/10.30 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 70.65/10.30 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 =
% 70.65/10.30 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) &
% 70.65/10.30 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 =
% 70.65/10.30 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) &
% 70.65/10.30 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 =
% 70.65/10.30 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~
% 70.65/10.30 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 =
% 70.65/10.30 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) &
% 70.65/10.30 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 70.65/10.30 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) &
% 70.65/10.31 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 =
% 70.65/10.31 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) &
% 70.65/10.31 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 =
% 70.65/10.31 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) &
% 70.65/10.31 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 =
% 70.65/10.31 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~
% 70.65/10.31 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~
% 70.65/10.31 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~
% 70.65/10.31 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~
% 70.65/10.31 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~
% 70.65/10.31 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) &
% 70.65/10.31 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 70.65/10.31 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 70.65/10.31 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 70.65/10.31 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 70.65/10.31 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 70.65/10.31 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 70.65/10.31 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 70.65/10.31 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 70.65/10.31 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 70.65/10.31 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.65/10.31
% 70.65/10.31 (ax5)
% 70.65/10.31 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~
% 70.65/10.31 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4)
% 70.65/10.31 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 70.65/10.31
% 70.65/10.31 (ax6)
% 70.65/10.31 op(e4, e4) = e2 & op(e2, e2) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & $i(e4)
% 70.65/10.31 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 70.65/10.31
% 70.65/10.31 (co1)
% 70.76/10.32 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.76/10.32 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.76/10.32 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.76/10.32 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.76/10.32 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.76/10.32 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 70.76/10.32 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 70.76/10.32 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 70.76/10.32 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 70.76/10.32 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ?
% 70.76/10.32 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ?
% 70.76/10.32 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ?
% 70.76/10.32 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ?
% 70.76/10.32 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ?
% 70.76/10.32 [v68: $i] : ? [v69: $i] : (op(v58, e4) = v59 & op(v58, e3) = v60 & op(v57,
% 70.76/10.32 e4) = v68 & op(v57, e3) = v67 & op(v47, e4) = v48 & op(v47, e2) = v49 &
% 70.76/10.32 op(v46, e4) = v66 & op(v46, e2) = v65 & op(v43, e3) = v44 & op(v43, e2) =
% 70.76/10.32 v45 & op(v42, e3) = v55 & op(v42, e2) = v54 & op(v34, e4) = v35 & op(v34,
% 70.76/10.32 e1) = v36 & op(v33, e4) = v64 & op(v33, e1) = v63 & op(v30, e3) = v31 &
% 70.76/10.32 op(v30, e1) = v32 & op(v29, e3) = v53 & op(v29, e1) = v52 & op(v26, e2) =
% 70.76/10.32 v27 & op(v26, e1) = v28 & op(v25, e2) = v40 & op(v25, e1) = v39 & op(v19,
% 70.76/10.32 e4) = v20 & op(v19, e0) = v21 & op(v18, e4) = v62 & op(v18, e0) = v61 &
% 70.76/10.32 op(v15, e3) = v16 & op(v15, e0) = v17 & op(v14, e3) = v51 & op(v14, e0) =
% 70.76/10.32 v50 & op(v11, e2) = v12 & op(v11, e0) = v13 & op(v10, e2) = v38 & op(v10,
% 70.76/10.32 e0) = v37 & op(v7, e1) = v8 & op(v7, e0) = v9 & op(v6, e1) = v23 & op(v6,
% 70.76/10.32 e0) = v22 & op(v4, e4) = v69 & op(v3, e3) = v56 & op(v2, e2) = v41 &
% 70.76/10.32 op(v1, e1) = v24 & op(v0, e0) = v5 & op(e4, e4) = v4 & op(e4, e3) = v57 &
% 70.76/10.32 op(e4, e2) = v46 & op(e4, e1) = v33 & op(e4, e0) = v18 & op(e3, e4) = v58 &
% 70.76/10.32 op(e3, e3) = v3 & op(e3, e2) = v42 & op(e3, e1) = v29 & op(e3, e0) = v14 &
% 70.76/10.32 op(e2, e4) = v47 & op(e2, e3) = v43 & op(e2, e2) = v2 & op(e2, e1) = v25 &
% 70.76/10.32 op(e2, e0) = v10 & op(e1, e4) = v34 & op(e1, e3) = v30 & op(e1, e2) = v26 &
% 70.76/10.32 op(e1, e1) = v1 & op(e1, e0) = v6 & op(e0, e4) = v19 & op(e0, e3) = v15 &
% 70.76/10.32 op(e0, e2) = v11 & op(e0, e1) = v7 & op(e0, e0) = v0 & $i(v69) & $i(v68) &
% 70.76/10.32 $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) &
% 70.76/10.32 $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) &
% 70.76/10.32 $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 70.76/10.32 $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) &
% 70.76/10.32 $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) &
% 70.76/10.32 $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 70.76/10.32 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 70.76/10.32 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 70.76/10.32 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 70.76/10.32 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 |
% 70.76/10.32 v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 |
% 70.76/10.32 v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1
% 70.76/10.32 = e1 | v0 = e1) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) &
% 70.76/10.32 ((v67 = e4 & ~ (v68 = e3) & ~ (v58 = v57)) | (v65 = e4 & ~ (v66 = e2) &
% 70.76/10.32 ~ (v47 = v46)) | (v63 = e4 & ~ (v64 = e1) & ~ (v34 = v33)) | (v61 = e4
% 70.76/10.32 & ~ (v62 = e0) & ~ (v19 = v18)) | (v59 = e3 & ~ (v60 = e4) & ~ (v58
% 70.76/10.32 = v57)) | (v54 = e3 & ~ (v55 = e2) & ~ (v43 = v42)) | (v52 = e3 & ~
% 70.76/10.32 (v53 = e1) & ~ (v30 = v29)) | (v50 = e3 & ~ (v51 = e0) & ~ (v15 =
% 70.76/10.32 v14)) | (v48 = e2 & ~ (v49 = e4) & ~ (v47 = v46)) | (v44 = e2 & ~
% 70.76/10.32 (v45 = e3) & ~ (v43 = v42)) | (v39 = e2 & ~ (v40 = e1) & ~ (v26 =
% 70.76/10.32 v25)) | (v37 = e2 & ~ (v38 = e0) & ~ (v11 = v10)) | (v35 = e1 & ~
% 70.76/10.32 (v36 = e4) & ~ (v34 = v33)) | (v31 = e1 & ~ (v32 = e3) & ~ (v30 =
% 70.76/10.32 v29)) | (v27 = e1 & ~ (v28 = e2) & ~ (v26 = v25)) | (v22 = e1 & ~
% 70.76/10.32 (v23 = e0) & ~ (v7 = v6)) | (v20 = e0 & ~ (v21 = e4) & ~ (v19 = v18))
% 70.76/10.32 | (v16 = e0 & ~ (v17 = e3) & ~ (v15 = v14)) | (v12 = e0 & ~ (v13 = e2)
% 70.76/10.32 & ~ (v11 = v10)) | (v8 = e0 & ~ (v9 = e1) & ~ (v7 = v6))))
% 70.76/10.32
% 70.76/10.32 (function-axioms)
% 70.76/10.32 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 70.76/10.32 v2) = v1) | ~ (op(v3, v2) = v0))
% 70.76/10.32
% 70.76/10.32 Those formulas are unsatisfiable:
% 70.76/10.32 ---------------------------------
% 70.76/10.32
% 70.76/10.32 Begin of proof
% 70.76/10.33 |
% 70.76/10.33 | ALPHA: (ax1) implies:
% 70.76/10.33 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.76/10.33 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 70.76/10.33 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 70.76/10.33 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 70.76/10.33 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 70.76/10.33 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 70.76/10.33 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 70.76/10.33 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 70.76/10.33 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 70.76/10.33 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 70.76/10.33 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 70.76/10.33 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 70.76/10.33 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 70.76/10.33 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 70.76/10.33 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 70.76/10.33 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 70.76/10.33 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 70.76/10.33 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 70.76/10.33 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 70.76/10.33 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 70.76/10.33 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 70.76/10.33 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 70.76/10.33 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 70.76/10.33 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 70.76/10.33 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 70.76/10.33 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 70.76/10.33 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 70.76/10.33 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 70.76/10.33 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 70.76/10.33 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 70.76/10.33 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 70.76/10.33 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 70.76/10.33 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 70.76/10.33 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 70.76/10.33 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 70.76/10.33 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 70.76/10.33 |
% 70.76/10.33 | ALPHA: (ax2) implies:
% 70.76/10.33 | (2) op(e0, unit) = e0
% 70.76/10.33 | (3) op(e1, unit) = e1
% 70.76/10.34 | (4) op(e2, unit) = e2
% 70.76/10.34 | (5) op(e3, unit) = e3
% 70.76/10.34 | (6) op(e4, unit) = e4
% 70.76/10.34 | (7) op(unit, e0) = e0
% 70.76/10.34 | (8) op(unit, e1) = e1
% 70.76/10.34 | (9) op(unit, e2) = e2
% 70.76/10.34 | (10) op(unit, e3) = e3
% 70.76/10.34 | (11) op(unit, e4) = e4
% 70.76/10.34 | (12) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 70.76/10.34 |
% 70.76/10.34 | ALPHA: (ax3) implies:
% 70.76/10.34 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.76/10.34 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 70.76/10.34 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 70.76/10.34 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 70.76/10.34 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 70.76/10.34 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 70.76/10.34 | v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3,
% 70.76/10.34 | e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7
% 70.76/10.34 | & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2,
% 70.76/10.34 | e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11
% 70.76/10.34 | & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4)
% 70.76/10.34 | = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0,
% 70.76/10.34 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 70.76/10.34 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 70.76/10.34 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.76/10.34 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 |
% 70.76/10.34 | v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 |
% 70.76/10.34 | v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 |
% 70.76/10.34 | v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 |
% 70.76/10.34 | v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) &
% 70.76/10.34 | (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 |
% 70.76/10.34 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 |
% 70.76/10.34 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 |
% 70.76/10.34 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 |
% 70.76/10.34 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 70.76/10.34 | (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 |
% 70.76/10.34 | v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 |
% 70.76/10.34 | v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 |
% 70.76/10.34 | v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 |
% 70.76/10.35 | v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) &
% 70.76/10.35 | (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 |
% 70.76/10.35 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 |
% 70.76/10.35 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 |
% 70.76/10.35 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 |
% 70.76/10.35 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 70.76/10.35 | (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 |
% 70.76/10.35 | v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 |
% 70.76/10.35 | v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 |
% 70.76/10.35 | v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 |
% 70.76/10.35 | v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) &
% 70.76/10.35 | (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 |
% 70.76/10.35 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 |
% 70.76/10.35 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 |
% 70.76/10.35 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 |
% 70.76/10.35 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 70.76/10.35 | (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 |
% 70.76/10.35 | v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 |
% 70.76/10.35 | v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 |
% 70.76/10.35 | v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 |
% 70.76/10.35 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8
% 70.76/10.35 | = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2
% 70.76/10.35 | | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5
% 70.76/10.35 | = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 =
% 70.76/10.35 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2
% 70.76/10.35 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2
% 70.76/10.35 | = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 =
% 70.76/10.35 | e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 70.76/10.35 |
% 70.76/10.35 | ALPHA: (ax4) implies:
% 70.76/10.35 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.76/10.35 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 70.76/10.35 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 70.76/10.35 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 70.76/10.35 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 70.76/10.35 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 70.76/10.35 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~
% 70.76/10.35 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~
% 70.76/10.35 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~
% 70.76/10.35 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~
% 70.76/10.35 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~
% 70.76/10.35 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~
% 70.76/10.35 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~
% 70.76/10.35 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~
% 70.76/10.35 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~
% 70.76/10.35 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~
% 70.76/10.35 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~
% 70.76/10.35 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~
% 70.76/10.35 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~
% 70.76/10.35 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~
% 70.76/10.35 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~
% 70.76/10.35 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~
% 70.76/10.35 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~
% 70.76/10.35 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9
% 70.76/10.35 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4)
% 70.76/10.35 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7
% 70.76/10.35 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1)
% 70.76/10.35 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4
% 70.76/10.35 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1)
% 70.76/10.35 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 70.76/10.35 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 70.76/10.35 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 70.76/10.35 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 70.76/10.35 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 70.76/10.35 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 70.76/10.35 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 70.76/10.35 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 70.76/10.35 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 70.76/10.35 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 70.76/10.35 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.76/10.35 |
% 70.76/10.35 | ALPHA: (ax5) implies:
% 70.76/10.35 | (15) ~ (e1 = e0)
% 70.76/10.35 | (16) ~ (e2 = e0)
% 70.76/10.35 | (17) ~ (e2 = e1)
% 70.76/10.35 | (18) ~ (e3 = e1)
% 70.76/10.35 | (19) ~ (e4 = e1)
% 70.76/10.35 | (20) ~ (e4 = e2)
% 70.76/10.35 | (21) ~ (e4 = e3)
% 70.76/10.35 |
% 70.76/10.35 | ALPHA: (ax6) implies:
% 70.76/10.35 | (22) op(e1, e1) = e4
% 70.76/10.35 | (23) op(e1, e2) = e0
% 70.76/10.35 | (24) op(e2, e2) = e3
% 70.76/10.35 | (25) op(e4, e4) = e2
% 70.76/10.35 |
% 70.76/10.35 | ALPHA: (co1) implies:
% 70.76/10.36 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.76/10.36 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 70.76/10.36 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 70.76/10.36 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 70.76/10.36 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 70.76/10.36 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 70.76/10.36 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 70.76/10.36 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 70.76/10.36 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 70.76/10.36 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 70.76/10.36 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 70.76/10.36 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 70.76/10.36 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 70.76/10.36 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 70.76/10.36 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : (op(v58,
% 70.76/10.36 | e4) = v59 & op(v58, e3) = v60 & op(v57, e4) = v68 & op(v57, e3) =
% 70.76/10.36 | v67 & op(v47, e4) = v48 & op(v47, e2) = v49 & op(v46, e4) = v66 &
% 70.76/10.36 | op(v46, e2) = v65 & op(v43, e3) = v44 & op(v43, e2) = v45 & op(v42,
% 70.76/10.36 | e3) = v55 & op(v42, e2) = v54 & op(v34, e4) = v35 & op(v34, e1) =
% 70.76/10.36 | v36 & op(v33, e4) = v64 & op(v33, e1) = v63 & op(v30, e3) = v31 &
% 70.76/10.36 | op(v30, e1) = v32 & op(v29, e3) = v53 & op(v29, e1) = v52 & op(v26,
% 70.76/10.36 | e2) = v27 & op(v26, e1) = v28 & op(v25, e2) = v40 & op(v25, e1) =
% 70.76/10.36 | v39 & op(v19, e4) = v20 & op(v19, e0) = v21 & op(v18, e4) = v62 &
% 70.76/10.36 | op(v18, e0) = v61 & op(v15, e3) = v16 & op(v15, e0) = v17 & op(v14,
% 70.76/10.36 | e3) = v51 & op(v14, e0) = v50 & op(v11, e2) = v12 & op(v11, e0) =
% 70.76/10.36 | v13 & op(v10, e2) = v38 & op(v10, e0) = v37 & op(v7, e1) = v8 &
% 70.76/10.36 | op(v7, e0) = v9 & op(v6, e1) = v23 & op(v6, e0) = v22 & op(v4, e4) =
% 70.76/10.36 | v69 & op(v3, e3) = v56 & op(v2, e2) = v41 & op(v1, e1) = v24 &
% 70.76/10.36 | op(v0, e0) = v5 & op(e4, e4) = v4 & op(e4, e3) = v57 & op(e4, e2) =
% 70.76/10.36 | v46 & op(e4, e1) = v33 & op(e4, e0) = v18 & op(e3, e4) = v58 &
% 70.76/10.36 | op(e3, e3) = v3 & op(e3, e2) = v42 & op(e3, e1) = v29 & op(e3, e0) =
% 70.76/10.36 | v14 & op(e2, e4) = v47 & op(e2, e3) = v43 & op(e2, e2) = v2 & op(e2,
% 70.76/10.36 | e1) = v25 & op(e2, e0) = v10 & op(e1, e4) = v34 & op(e1, e3) = v30
% 70.76/10.36 | & op(e1, e2) = v26 & op(e1, e1) = v1 & op(e1, e0) = v6 & op(e0, e4)
% 70.76/10.36 | = v19 & op(e0, e3) = v15 & op(e0, e2) = v11 & op(e0, e1) = v7 &
% 70.76/10.36 | op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) &
% 70.76/10.36 | $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58)
% 70.76/10.36 | & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) &
% 70.76/10.36 | $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45)
% 70.76/10.36 | & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) &
% 70.76/10.36 | $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32)
% 70.76/10.36 | & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 70.76/10.36 | $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 70.76/10.36 | & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 70.76/10.36 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.76/10.36 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v4 = e4 | v3
% 70.76/10.36 | = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3
% 70.76/10.36 | | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0
% 70.76/10.36 | = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 =
% 70.76/10.36 | e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & ((v67 = e4 & ~ (v68
% 70.76/10.36 | = e3) & ~ (v58 = v57)) | (v65 = e4 & ~ (v66 = e2) & ~ (v47
% 70.76/10.36 | = v46)) | (v63 = e4 & ~ (v64 = e1) & ~ (v34 = v33)) | (v61 =
% 70.76/10.36 | e4 & ~ (v62 = e0) & ~ (v19 = v18)) | (v59 = e3 & ~ (v60 = e4)
% 70.76/10.36 | & ~ (v58 = v57)) | (v54 = e3 & ~ (v55 = e2) & ~ (v43 = v42))
% 70.76/10.36 | | (v52 = e3 & ~ (v53 = e1) & ~ (v30 = v29)) | (v50 = e3 & ~
% 70.76/10.36 | (v51 = e0) & ~ (v15 = v14)) | (v48 = e2 & ~ (v49 = e4) & ~
% 70.76/10.36 | (v47 = v46)) | (v44 = e2 & ~ (v45 = e3) & ~ (v43 = v42)) |
% 70.76/10.36 | (v39 = e2 & ~ (v40 = e1) & ~ (v26 = v25)) | (v37 = e2 & ~ (v38
% 70.76/10.36 | = e0) & ~ (v11 = v10)) | (v35 = e1 & ~ (v36 = e4) & ~ (v34
% 70.76/10.36 | = v33)) | (v31 = e1 & ~ (v32 = e3) & ~ (v30 = v29)) | (v27 =
% 70.76/10.36 | e1 & ~ (v28 = e2) & ~ (v26 = v25)) | (v22 = e1 & ~ (v23 = e0)
% 70.76/10.36 | & ~ (v7 = v6)) | (v20 = e0 & ~ (v21 = e4) & ~ (v19 = v18)) |
% 70.76/10.36 | (v16 = e0 & ~ (v17 = e3) & ~ (v15 = v14)) | (v12 = e0 & ~ (v13
% 70.76/10.36 | = e2) & ~ (v11 = v10)) | (v8 = e0 & ~ (v9 = e1) & ~ (v7 =
% 70.76/10.36 | v6))))
% 70.76/10.36 |
% 70.76/10.36 | DELTA: instantiating (14) with fresh symbols all_4_0, all_4_1, all_4_2,
% 70.76/10.36 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 70.76/10.36 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 70.76/10.36 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 70.76/10.36 | all_4_24 gives:
% 70.76/10.36 | (27) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 =
% 70.76/10.36 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~
% 70.76/10.36 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 =
% 70.76/10.36 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~
% 70.76/10.36 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11)
% 70.76/10.36 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 =
% 70.76/10.36 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~
% 70.76/10.36 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 =
% 70.76/10.36 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~
% 70.76/10.36 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 =
% 70.76/10.36 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~
% 70.76/10.36 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 =
% 70.76/10.36 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~
% 70.76/10.36 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 =
% 70.76/10.36 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~
% 70.76/10.36 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11)
% 70.76/10.36 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 =
% 70.76/10.36 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~
% 70.76/10.36 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 =
% 70.76/10.36 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~
% 70.76/10.36 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 =
% 70.76/10.36 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~
% 70.76/10.36 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 =
% 70.76/10.36 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~
% 70.76/10.36 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 =
% 70.76/10.36 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~
% 70.76/10.36 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 =
% 70.76/10.36 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~
% 70.76/10.36 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 =
% 70.76/10.36 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~
% 70.76/10.36 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 =
% 70.76/10.36 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~
% 70.76/10.36 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 =
% 70.76/10.36 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~
% 70.76/10.36 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 =
% 70.76/10.36 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~
% 70.76/10.36 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 =
% 70.76/10.36 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~
% 70.76/10.36 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 =
% 70.76/10.36 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 70.76/10.36 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 70.76/10.36 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 70.76/10.36 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 70.76/10.36 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 70.76/10.36 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 70.76/10.36 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 70.76/10.36 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 70.76/10.36 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 70.76/10.36 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 70.76/10.36 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 70.76/10.36 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 70.76/10.36 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 70.76/10.36 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 70.76/10.36 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 70.76/10.36 |
% 70.76/10.37 | ALPHA: (27) implies:
% 70.76/10.37 | (28) ~ (all_4_23 = all_4_24)
% 70.76/10.37 | (29) ~ (all_4_22 = all_4_24)
% 70.76/10.37 | (30) ~ (all_4_22 = all_4_23)
% 70.76/10.37 | (31) ~ (all_4_21 = all_4_24)
% 70.76/10.37 | (32) ~ (all_4_21 = all_4_23)
% 70.76/10.37 | (33) ~ (all_4_21 = all_4_22)
% 70.76/10.37 | (34) ~ (all_4_20 = all_4_24)
% 70.76/10.37 | (35) ~ (all_4_20 = all_4_23)
% 70.76/10.37 | (36) ~ (all_4_20 = all_4_22)
% 70.76/10.37 | (37) ~ (all_4_20 = all_4_21)
% 70.76/10.37 | (38) ~ (all_4_19 = all_4_24)
% 70.76/10.37 | (39) ~ (all_4_18 = all_4_23)
% 70.76/10.37 | (40) ~ (all_4_18 = all_4_19)
% 70.76/10.37 | (41) ~ (all_4_17 = all_4_22)
% 70.76/10.37 | (42) ~ (all_4_17 = all_4_19)
% 70.76/10.37 | (43) ~ (all_4_17 = all_4_18)
% 70.76/10.37 | (44) ~ (all_4_16 = all_4_21)
% 70.76/10.37 | (45) ~ (all_4_16 = all_4_19)
% 70.76/10.37 | (46) ~ (all_4_16 = all_4_18)
% 70.76/10.37 | (47) ~ (all_4_16 = all_4_17)
% 70.76/10.37 | (48) ~ (all_4_15 = all_4_20)
% 70.76/10.37 | (49) ~ (all_4_15 = all_4_19)
% 70.76/10.37 | (50) ~ (all_4_15 = all_4_18)
% 70.76/10.37 | (51) ~ (all_4_15 = all_4_17)
% 70.76/10.37 | (52) ~ (all_4_15 = all_4_16)
% 70.76/10.37 | (53) ~ (all_4_14 = all_4_24)
% 70.76/10.37 | (54) ~ (all_4_14 = all_4_19)
% 70.76/10.37 | (55) ~ (all_4_13 = all_4_23)
% 70.76/10.37 | (56) ~ (all_4_13 = all_4_18)
% 70.76/10.37 | (57) ~ (all_4_13 = all_4_14)
% 70.76/10.37 | (58) ~ (all_4_12 = all_4_22)
% 70.76/10.37 | (59) ~ (all_4_12 = all_4_17)
% 70.76/10.37 | (60) ~ (all_4_12 = all_4_14)
% 70.76/10.37 | (61) ~ (all_4_12 = all_4_13)
% 70.76/10.37 | (62) ~ (all_4_11 = all_4_21)
% 70.76/10.37 | (63) ~ (all_4_11 = all_4_16)
% 70.76/10.37 | (64) ~ (all_4_11 = all_4_14)
% 70.76/10.37 | (65) ~ (all_4_11 = all_4_13)
% 70.76/10.37 | (66) ~ (all_4_11 = all_4_12)
% 70.76/10.37 | (67) ~ (all_4_10 = all_4_20)
% 70.76/10.37 | (68) ~ (all_4_10 = all_4_15)
% 70.76/10.37 | (69) ~ (all_4_10 = all_4_14)
% 70.76/10.37 | (70) ~ (all_4_10 = all_4_13)
% 70.76/10.37 | (71) ~ (all_4_10 = all_4_12)
% 70.76/10.37 | (72) ~ (all_4_10 = all_4_11)
% 70.76/10.37 | (73) ~ (all_4_9 = all_4_24)
% 70.76/10.37 | (74) ~ (all_4_9 = all_4_19)
% 70.76/10.37 | (75) ~ (all_4_9 = all_4_14)
% 70.76/10.37 | (76) ~ (all_4_8 = all_4_23)
% 70.76/10.37 | (77) ~ (all_4_8 = all_4_18)
% 70.76/10.37 | (78) ~ (all_4_8 = all_4_13)
% 70.76/10.37 | (79) ~ (all_4_8 = all_4_9)
% 70.76/10.37 | (80) ~ (all_4_7 = all_4_22)
% 70.76/10.37 | (81) ~ (all_4_7 = all_4_17)
% 70.76/10.37 | (82) ~ (all_4_7 = all_4_12)
% 70.76/10.37 | (83) ~ (all_4_7 = all_4_9)
% 70.76/10.37 | (84) ~ (all_4_7 = all_4_8)
% 70.76/10.37 | (85) ~ (all_4_6 = all_4_21)
% 70.76/10.37 | (86) ~ (all_4_6 = all_4_16)
% 70.76/10.37 | (87) ~ (all_4_6 = all_4_11)
% 70.76/10.37 | (88) ~ (all_4_6 = all_4_9)
% 70.76/10.37 | (89) ~ (all_4_6 = all_4_8)
% 70.76/10.37 | (90) ~ (all_4_6 = all_4_7)
% 70.76/10.37 | (91) ~ (all_4_5 = all_4_20)
% 70.76/10.37 | (92) ~ (all_4_5 = all_4_15)
% 70.76/10.37 | (93) ~ (all_4_5 = all_4_10)
% 70.76/10.37 | (94) ~ (all_4_5 = all_4_9)
% 70.76/10.37 | (95) ~ (all_4_5 = all_4_8)
% 70.76/10.37 | (96) ~ (all_4_5 = all_4_7)
% 70.76/10.37 | (97) ~ (all_4_5 = all_4_6)
% 70.76/10.37 | (98) ~ (all_4_4 = all_4_24)
% 70.76/10.37 | (99) ~ (all_4_4 = all_4_19)
% 70.76/10.37 | (100) ~ (all_4_4 = all_4_14)
% 70.76/10.37 | (101) ~ (all_4_4 = all_4_9)
% 70.76/10.37 | (102) ~ (all_4_3 = all_4_23)
% 70.76/10.37 | (103) ~ (all_4_3 = all_4_18)
% 70.76/10.37 | (104) ~ (all_4_3 = all_4_13)
% 70.76/10.37 | (105) ~ (all_4_3 = all_4_8)
% 70.76/10.37 | (106) ~ (all_4_3 = all_4_4)
% 70.76/10.37 | (107) ~ (all_4_2 = all_4_22)
% 70.76/10.37 | (108) ~ (all_4_2 = all_4_17)
% 70.76/10.37 | (109) ~ (all_4_2 = all_4_12)
% 70.76/10.37 | (110) ~ (all_4_2 = all_4_7)
% 70.76/10.37 | (111) ~ (all_4_2 = all_4_4)
% 70.76/10.37 | (112) ~ (all_4_2 = all_4_3)
% 70.76/10.37 | (113) ~ (all_4_1 = all_4_21)
% 70.76/10.37 | (114) ~ (all_4_1 = all_4_16)
% 70.76/10.37 | (115) ~ (all_4_1 = all_4_11)
% 70.76/10.37 | (116) ~ (all_4_1 = all_4_6)
% 70.76/10.37 | (117) ~ (all_4_1 = all_4_4)
% 70.76/10.37 | (118) ~ (all_4_1 = all_4_3)
% 70.76/10.37 | (119) ~ (all_4_1 = all_4_2)
% 70.76/10.37 | (120) ~ (all_4_0 = all_4_20)
% 70.76/10.37 | (121) ~ (all_4_0 = all_4_15)
% 70.76/10.37 | (122) ~ (all_4_0 = all_4_10)
% 70.76/10.37 | (123) ~ (all_4_0 = all_4_5)
% 70.76/10.37 | (124) ~ (all_4_0 = all_4_4)
% 70.76/10.37 | (125) ~ (all_4_0 = all_4_3)
% 70.76/10.37 | (126) ~ (all_4_0 = all_4_2)
% 70.76/10.37 | (127) ~ (all_4_0 = all_4_1)
% 70.76/10.37 | (128) op(e0, e0) = all_4_24
% 70.76/10.37 | (129) op(e0, e1) = all_4_19
% 70.76/10.37 | (130) op(e0, e2) = all_4_14
% 70.76/10.38 | (131) op(e0, e3) = all_4_9
% 70.76/10.38 | (132) op(e0, e4) = all_4_4
% 70.76/10.38 | (133) op(e1, e0) = all_4_23
% 70.76/10.38 | (134) op(e1, e1) = all_4_18
% 70.76/10.38 | (135) op(e1, e2) = all_4_13
% 70.76/10.38 | (136) op(e1, e3) = all_4_8
% 70.76/10.38 | (137) op(e1, e4) = all_4_3
% 70.76/10.38 | (138) op(e2, e0) = all_4_22
% 70.76/10.38 | (139) op(e2, e1) = all_4_17
% 70.76/10.38 | (140) op(e2, e2) = all_4_12
% 70.76/10.38 | (141) op(e2, e3) = all_4_7
% 70.76/10.38 | (142) op(e2, e4) = all_4_2
% 70.76/10.38 | (143) op(e3, e0) = all_4_21
% 70.76/10.38 | (144) op(e3, e1) = all_4_16
% 70.76/10.38 | (145) op(e3, e2) = all_4_11
% 70.76/10.38 | (146) op(e3, e3) = all_4_6
% 70.76/10.38 | (147) op(e3, e4) = all_4_1
% 70.76/10.38 | (148) op(e4, e0) = all_4_20
% 70.76/10.38 | (149) op(e4, e1) = all_4_15
% 70.76/10.38 | (150) op(e4, e2) = all_4_10
% 70.76/10.38 | (151) op(e4, e3) = all_4_5
% 70.76/10.38 | (152) op(e4, e4) = all_4_0
% 70.76/10.38 |
% 70.76/10.38 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 70.76/10.38 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 70.76/10.38 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 70.76/10.38 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 70.76/10.38 | all_6_24 gives:
% 70.76/10.38 | (153) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 70.76/10.38 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 70.76/10.38 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 70.76/10.38 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 70.76/10.38 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 70.76/10.38 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 70.76/10.38 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 70.76/10.38 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 70.76/10.38 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 70.76/10.38 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 70.76/10.38 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 70.76/10.38 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 70.76/10.38 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 70.76/10.38 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 70.76/10.38 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 70.76/10.38 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 70.76/10.38 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 70.76/10.38 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 70.76/10.38 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 70.76/10.38 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 70.76/10.38 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 70.76/10.38 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 70.76/10.38 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 70.76/10.38 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 70.76/10.38 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 70.76/10.38 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 70.76/10.38 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 70.76/10.38 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 70.76/10.38 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 70.76/10.38 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 70.76/10.38 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 70.76/10.38 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 70.76/10.38 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 70.76/10.38 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 70.76/10.38 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 70.76/10.38 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 70.76/10.38 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 70.76/10.38 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 70.76/10.38 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 70.76/10.38 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 70.76/10.38 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 70.76/10.38 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 70.76/10.38 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 70.76/10.38 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 70.76/10.38 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 70.76/10.38 |
% 70.76/10.38 | ALPHA: (153) implies:
% 70.76/10.38 | (154) op(e0, e0) = all_6_24
% 70.76/10.38 | (155) op(e0, e1) = all_6_23
% 70.76/10.38 | (156) op(e0, e2) = all_6_22
% 70.76/10.38 | (157) op(e0, e3) = all_6_21
% 70.76/10.38 | (158) op(e0, e4) = all_6_20
% 70.76/10.38 | (159) op(e1, e0) = all_6_19
% 70.76/10.38 | (160) op(e1, e1) = all_6_18
% 70.76/10.38 | (161) op(e1, e2) = all_6_17
% 70.76/10.38 | (162) op(e1, e3) = all_6_16
% 70.76/10.38 | (163) op(e1, e4) = all_6_15
% 70.76/10.38 | (164) op(e2, e0) = all_6_14
% 70.76/10.38 | (165) op(e2, e1) = all_6_13
% 70.76/10.38 | (166) op(e2, e2) = all_6_12
% 70.76/10.38 | (167) op(e2, e3) = all_6_11
% 70.76/10.38 | (168) op(e2, e4) = all_6_10
% 70.76/10.38 | (169) op(e3, e0) = all_6_9
% 70.76/10.38 | (170) op(e3, e1) = all_6_8
% 70.76/10.38 | (171) op(e3, e2) = all_6_7
% 70.76/10.38 | (172) op(e3, e3) = all_6_6
% 70.76/10.38 | (173) op(e3, e4) = all_6_5
% 70.76/10.38 | (174) op(e4, e0) = all_6_4
% 70.76/10.38 | (175) op(e4, e1) = all_6_3
% 70.76/10.38 | (176) op(e4, e2) = all_6_2
% 70.76/10.38 | (177) op(e4, e3) = all_6_1
% 70.76/10.38 | (178) op(e4, e4) = all_6_0
% 70.76/10.38 | (179) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 70.76/10.38 | all_6_23 = e0
% 70.76/10.38 | (180) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 70.76/10.38 | all_6_22 = e0
% 70.76/10.38 | (181) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 70.76/10.38 | all_6_21 = e0
% 70.76/10.38 | (182) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 70.76/10.38 | all_6_20 = e0
% 70.76/10.38 | (183) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 |
% 70.76/10.38 | all_6_19 = e0
% 70.76/10.38 | (184) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 70.76/10.38 | all_6_16 = e0
% 70.76/10.38 | (185) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 70.76/10.38 | all_6_15 = e0
% 70.76/10.38 | (186) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 |
% 70.76/10.38 | all_6_14 = e0
% 70.76/10.39 | (187) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 70.76/10.39 | all_6_13 = e0
% 70.76/10.39 | (188) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 70.76/10.39 | all_6_11 = e0
% 70.76/10.39 | (189) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 70.76/10.39 | all_6_10 = e0
% 70.76/10.39 | (190) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 70.76/10.39 | e0
% 70.76/10.39 | (191) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 70.76/10.39 | e0
% 70.76/10.39 | (192) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 70.76/10.39 | e0
% 70.76/10.39 | (193) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 70.76/10.39 | e0
% 70.76/10.39 | (194) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 70.76/10.39 | e0
% 70.76/10.39 | (195) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 70.76/10.39 | e0
% 70.76/10.39 | (196) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 70.76/10.39 | e0
% 70.76/10.39 | (197) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 70.76/10.39 | e0
% 70.76/10.39 |
% 70.76/10.39 | DELTA: instantiating (26) with fresh symbols all_8_0, all_8_1, all_8_2,
% 70.76/10.39 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 70.76/10.39 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 70.76/10.39 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 70.76/10.39 | all_8_24, all_8_25, all_8_26, all_8_27, all_8_28, all_8_29, all_8_30,
% 70.76/10.39 | all_8_31, all_8_32, all_8_33, all_8_34, all_8_35, all_8_36, all_8_37,
% 70.76/10.39 | all_8_38, all_8_39, all_8_40, all_8_41, all_8_42, all_8_43, all_8_44,
% 70.76/10.39 | all_8_45, all_8_46, all_8_47, all_8_48, all_8_49, all_8_50, all_8_51,
% 70.76/10.39 | all_8_52, all_8_53, all_8_54, all_8_55, all_8_56, all_8_57, all_8_58,
% 70.76/10.39 | all_8_59, all_8_60, all_8_61, all_8_62, all_8_63, all_8_64, all_8_65,
% 70.76/10.39 | all_8_66, all_8_67, all_8_68, all_8_69 gives:
% 70.76/10.39 | (198) op(all_8_11, e4) = all_8_10 & op(all_8_11, e3) = all_8_9 &
% 70.76/10.39 | op(all_8_12, e4) = all_8_1 & op(all_8_12, e3) = all_8_2 &
% 70.76/10.39 | op(all_8_22, e4) = all_8_21 & op(all_8_22, e2) = all_8_20 &
% 70.76/10.39 | op(all_8_23, e4) = all_8_3 & op(all_8_23, e2) = all_8_4 &
% 70.76/10.39 | op(all_8_26, e3) = all_8_25 & op(all_8_26, e2) = all_8_24 &
% 70.76/10.39 | op(all_8_27, e3) = all_8_14 & op(all_8_27, e2) = all_8_15 &
% 70.76/10.39 | op(all_8_35, e4) = all_8_34 & op(all_8_35, e1) = all_8_33 &
% 70.76/10.39 | op(all_8_36, e4) = all_8_5 & op(all_8_36, e1) = all_8_6 &
% 70.76/10.39 | op(all_8_39, e3) = all_8_38 & op(all_8_39, e1) = all_8_37 &
% 70.76/10.39 | op(all_8_40, e3) = all_8_16 & op(all_8_40, e1) = all_8_17 &
% 70.76/10.39 | op(all_8_43, e2) = all_8_42 & op(all_8_43, e1) = all_8_41 &
% 70.76/10.39 | op(all_8_44, e2) = all_8_29 & op(all_8_44, e1) = all_8_30 &
% 70.76/10.39 | op(all_8_50, e4) = all_8_49 & op(all_8_50, e0) = all_8_48 &
% 70.76/10.39 | op(all_8_51, e4) = all_8_7 & op(all_8_51, e0) = all_8_8 &
% 70.76/10.39 | op(all_8_54, e3) = all_8_53 & op(all_8_54, e0) = all_8_52 &
% 70.76/10.39 | op(all_8_55, e3) = all_8_18 & op(all_8_55, e0) = all_8_19 &
% 70.76/10.39 | op(all_8_58, e2) = all_8_57 & op(all_8_58, e0) = all_8_56 &
% 70.76/10.39 | op(all_8_59, e2) = all_8_31 & op(all_8_59, e0) = all_8_32 &
% 70.76/10.39 | op(all_8_62, e1) = all_8_61 & op(all_8_62, e0) = all_8_60 &
% 70.76/10.39 | op(all_8_63, e1) = all_8_46 & op(all_8_63, e0) = all_8_47 &
% 70.76/10.39 | op(all_8_65, e4) = all_8_0 & op(all_8_66, e3) = all_8_13 &
% 70.76/10.39 | op(all_8_67, e2) = all_8_28 & op(all_8_68, e1) = all_8_45 &
% 70.76/10.39 | op(all_8_69, e0) = all_8_64 & op(e4, e4) = all_8_65 & op(e4, e3) =
% 70.76/10.39 | all_8_12 & op(e4, e2) = all_8_23 & op(e4, e1) = all_8_36 & op(e4, e0)
% 70.76/10.39 | = all_8_51 & op(e3, e4) = all_8_11 & op(e3, e3) = all_8_66 & op(e3,
% 70.76/10.39 | e2) = all_8_27 & op(e3, e1) = all_8_40 & op(e3, e0) = all_8_55 &
% 70.76/10.39 | op(e2, e4) = all_8_22 & op(e2, e3) = all_8_26 & op(e2, e2) = all_8_67
% 70.76/10.39 | & op(e2, e1) = all_8_44 & op(e2, e0) = all_8_59 & op(e1, e4) =
% 70.76/10.39 | all_8_35 & op(e1, e3) = all_8_39 & op(e1, e2) = all_8_43 & op(e1, e1)
% 70.76/10.39 | = all_8_68 & op(e1, e0) = all_8_63 & op(e0, e4) = all_8_50 & op(e0,
% 70.76/10.39 | e3) = all_8_54 & op(e0, e2) = all_8_58 & op(e0, e1) = all_8_62 &
% 70.76/10.39 | op(e0, e0) = all_8_69 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) &
% 70.76/10.39 | $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6) & $i(all_8_7) &
% 70.76/10.39 | $i(all_8_8) & $i(all_8_9) & $i(all_8_10) & $i(all_8_11) &
% 70.76/10.39 | $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & $i(all_8_15) &
% 70.76/10.39 | $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & $i(all_8_19) &
% 70.76/10.39 | $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & $i(all_8_23) &
% 70.76/10.39 | $i(all_8_24) & $i(all_8_25) & $i(all_8_26) & $i(all_8_27) &
% 70.76/10.39 | $i(all_8_28) & $i(all_8_29) & $i(all_8_30) & $i(all_8_31) &
% 70.76/10.39 | $i(all_8_32) & $i(all_8_33) & $i(all_8_34) & $i(all_8_35) &
% 70.76/10.39 | $i(all_8_36) & $i(all_8_37) & $i(all_8_38) & $i(all_8_39) &
% 70.76/10.39 | $i(all_8_40) & $i(all_8_41) & $i(all_8_42) & $i(all_8_43) &
% 70.76/10.39 | $i(all_8_44) & $i(all_8_45) & $i(all_8_46) & $i(all_8_47) &
% 70.76/10.39 | $i(all_8_48) & $i(all_8_49) & $i(all_8_50) & $i(all_8_51) &
% 70.76/10.39 | $i(all_8_52) & $i(all_8_53) & $i(all_8_54) & $i(all_8_55) &
% 70.76/10.39 | $i(all_8_56) & $i(all_8_57) & $i(all_8_58) & $i(all_8_59) &
% 70.76/10.39 | $i(all_8_60) & $i(all_8_61) & $i(all_8_62) & $i(all_8_63) &
% 70.76/10.39 | $i(all_8_64) & $i(all_8_65) & $i(all_8_66) & $i(all_8_67) &
% 70.76/10.39 | $i(all_8_68) & $i(all_8_69) & (all_8_65 = e4 | all_8_66 = e4 |
% 70.76/10.39 | all_8_67 = e4 | all_8_68 = e4 | all_8_69 = e4) & (all_8_65 = e3 |
% 70.76/10.39 | all_8_66 = e3 | all_8_67 = e3 | all_8_68 = e3 | all_8_69 = e3) &
% 70.76/10.39 | (all_8_65 = e2 | all_8_66 = e2 | all_8_67 = e2 | all_8_68 = e2 |
% 70.76/10.39 | all_8_69 = e2) & (all_8_65 = e1 | all_8_66 = e1 | all_8_67 = e1 |
% 70.76/10.39 | all_8_68 = e1 | all_8_69 = e1) & (all_8_65 = e0 | all_8_66 = e0 |
% 70.76/10.39 | all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0) & ((all_8_2 = e4 &
% 70.76/10.39 | ~ (all_8_1 = e3) & ~ (all_8_11 = all_8_12)) | (all_8_4 = e4 & ~
% 70.76/10.39 | (all_8_3 = e2) & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 70.76/10.39 | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) | (all_8_8 = e4 & ~
% 70.76/10.39 | (all_8_7 = e0) & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 & ~
% 70.76/10.39 | (all_8_9 = e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 = e3 & ~
% 70.76/10.39 | (all_8_14 = e2) & ~ (all_8_26 = all_8_27)) | (all_8_17 = e3 & ~
% 70.76/10.39 | (all_8_16 = e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 = e3 & ~
% 70.76/10.39 | (all_8_18 = e0) & ~ (all_8_54 = all_8_55)) | (all_8_21 = e2 & ~
% 70.76/10.39 | (all_8_20 = e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 = e2 & ~
% 70.76/10.39 | (all_8_24 = e3) & ~ (all_8_26 = all_8_27)) | (all_8_30 = e2 & ~
% 70.76/10.39 | (all_8_29 = e1) & ~ (all_8_43 = all_8_44)) | (all_8_32 = e2 & ~
% 70.76/10.39 | (all_8_31 = e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 = e1 & ~
% 70.76/10.39 | (all_8_33 = e4) & ~ (all_8_35 = all_8_36)) | (all_8_38 = e1 & ~
% 70.76/10.39 | (all_8_37 = e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 = e1 & ~
% 70.76/10.39 | (all_8_41 = e2) & ~ (all_8_43 = all_8_44)) | (all_8_47 = e1 & ~
% 70.76/10.39 | (all_8_46 = e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 = e0 & ~
% 70.76/10.39 | (all_8_48 = e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 = e0 & ~
% 70.76/10.39 | (all_8_52 = e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 = e0 & ~
% 70.76/10.39 | (all_8_56 = e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 = e0 & ~
% 70.76/10.39 | (all_8_60 = e1) & ~ (all_8_62 = all_8_63)))
% 70.76/10.39 |
% 70.76/10.39 | ALPHA: (198) implies:
% 70.76/10.39 | (199) op(e0, e0) = all_8_69
% 70.76/10.39 | (200) op(e0, e1) = all_8_62
% 70.76/10.39 | (201) op(e0, e2) = all_8_58
% 70.76/10.39 | (202) op(e0, e3) = all_8_54
% 70.76/10.39 | (203) op(e0, e4) = all_8_50
% 70.76/10.39 | (204) op(e1, e0) = all_8_63
% 70.76/10.39 | (205) op(e1, e1) = all_8_68
% 70.76/10.39 | (206) op(e1, e2) = all_8_43
% 70.76/10.39 | (207) op(e1, e3) = all_8_39
% 70.76/10.39 | (208) op(e1, e4) = all_8_35
% 70.76/10.39 | (209) op(e2, e0) = all_8_59
% 70.76/10.39 | (210) op(e2, e1) = all_8_44
% 70.76/10.39 | (211) op(e2, e2) = all_8_67
% 70.76/10.39 | (212) op(e2, e3) = all_8_26
% 70.76/10.39 | (213) op(e2, e4) = all_8_22
% 70.76/10.39 | (214) op(e3, e0) = all_8_55
% 70.76/10.39 | (215) op(e3, e1) = all_8_40
% 70.76/10.39 | (216) op(e3, e2) = all_8_27
% 70.76/10.39 | (217) op(e3, e3) = all_8_66
% 70.76/10.39 | (218) op(e3, e4) = all_8_11
% 70.76/10.39 | (219) op(e4, e0) = all_8_51
% 70.76/10.39 | (220) op(e4, e1) = all_8_36
% 70.76/10.39 | (221) op(e4, e2) = all_8_23
% 70.76/10.39 | (222) op(e4, e3) = all_8_12
% 70.76/10.39 | (223) op(e4, e4) = all_8_65
% 70.76/10.39 | (224) op(all_8_69, e0) = all_8_64
% 70.76/10.40 | (225) op(all_8_68, e1) = all_8_45
% 70.76/10.40 | (226) op(all_8_67, e2) = all_8_28
% 70.76/10.40 | (227) op(all_8_66, e3) = all_8_13
% 70.76/10.40 | (228) op(all_8_65, e4) = all_8_0
% 70.76/10.40 | (229) op(all_8_63, e0) = all_8_47
% 70.76/10.40 | (230) op(all_8_63, e1) = all_8_46
% 70.76/10.40 | (231) op(all_8_62, e0) = all_8_60
% 70.76/10.40 | (232) op(all_8_62, e1) = all_8_61
% 70.76/10.40 | (233) op(all_8_59, e0) = all_8_32
% 70.76/10.40 | (234) op(all_8_59, e2) = all_8_31
% 70.76/10.40 | (235) op(all_8_58, e0) = all_8_56
% 70.76/10.40 | (236) op(all_8_58, e2) = all_8_57
% 70.76/10.40 | (237) op(all_8_55, e0) = all_8_19
% 70.76/10.40 | (238) op(all_8_55, e3) = all_8_18
% 70.76/10.40 | (239) op(all_8_54, e0) = all_8_52
% 70.76/10.40 | (240) op(all_8_54, e3) = all_8_53
% 70.76/10.40 | (241) op(all_8_51, e0) = all_8_8
% 70.76/10.40 | (242) op(all_8_51, e4) = all_8_7
% 70.76/10.40 | (243) op(all_8_50, e0) = all_8_48
% 70.76/10.40 | (244) op(all_8_50, e4) = all_8_49
% 70.76/10.40 | (245) op(all_8_44, e1) = all_8_30
% 70.76/10.40 | (246) op(all_8_44, e2) = all_8_29
% 70.76/10.40 | (247) op(all_8_43, e2) = all_8_42
% 70.76/10.40 | (248) op(all_8_40, e1) = all_8_17
% 70.76/10.40 | (249) op(all_8_40, e3) = all_8_16
% 70.76/10.40 | (250) op(all_8_39, e1) = all_8_37
% 70.76/10.40 | (251) op(all_8_39, e3) = all_8_38
% 70.76/10.40 | (252) op(all_8_36, e1) = all_8_6
% 70.76/10.40 | (253) op(all_8_36, e4) = all_8_5
% 70.76/10.40 | (254) op(all_8_35, e1) = all_8_33
% 70.76/10.40 | (255) op(all_8_35, e4) = all_8_34
% 70.76/10.40 | (256) op(all_8_27, e2) = all_8_15
% 70.76/10.40 | (257) op(all_8_27, e3) = all_8_14
% 70.76/10.40 | (258) op(all_8_26, e2) = all_8_24
% 70.76/10.40 | (259) op(all_8_26, e3) = all_8_25
% 70.76/10.40 | (260) op(all_8_23, e2) = all_8_4
% 70.76/10.40 | (261) op(all_8_23, e4) = all_8_3
% 70.76/10.40 | (262) op(all_8_22, e2) = all_8_20
% 70.76/10.40 | (263) op(all_8_22, e4) = all_8_21
% 70.76/10.40 | (264) op(all_8_12, e3) = all_8_2
% 70.76/10.40 | (265) op(all_8_12, e4) = all_8_1
% 70.76/10.40 | (266) op(all_8_11, e3) = all_8_9
% 70.76/10.40 | (267) op(all_8_11, e4) = all_8_10
% 70.76/10.40 | (268) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 = all_8_12)) |
% 70.76/10.40 | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 = all_8_23)) |
% 70.76/10.40 | (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 70.76/10.40 | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 = all_8_51)) |
% 70.76/10.40 | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12)) |
% 70.76/10.40 | (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26 = all_8_27)) |
% 70.76/10.40 | (all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39 = all_8_40)) |
% 70.76/10.40 | (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54 = all_8_55)) |
% 70.76/10.40 | (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22 = all_8_23)) |
% 70.76/10.40 | (all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26 = all_8_27)) |
% 70.76/10.40 | (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43 = all_8_44)) |
% 70.76/10.40 | (all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58 = all_8_59)) |
% 70.76/10.40 | (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35 = all_8_36)) |
% 70.76/10.40 | (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39 = all_8_40)) |
% 70.76/10.40 | (all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43 = all_8_44)) |
% 70.76/10.40 | (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62 = all_8_63)) |
% 70.76/10.40 | (all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50 = all_8_51)) |
% 70.76/10.40 | (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54 = all_8_55)) |
% 70.76/10.40 | (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58 = all_8_59)) |
% 70.76/10.40 | (all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62 = all_8_63))
% 70.76/10.40 | (269) all_8_65 = e0 | all_8_66 = e0 | all_8_67 = e0 | all_8_68 = e0 |
% 70.76/10.40 | all_8_69 = e0
% 70.76/10.40 | (270) all_8_65 = e1 | all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 |
% 70.76/10.40 | all_8_69 = e1
% 70.76/10.40 |
% 70.76/10.40 | DELTA: instantiating (13) with fresh symbols all_10_0, all_10_1, all_10_2,
% 70.76/10.40 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 70.76/10.40 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 70.76/10.40 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 70.76/10.40 | all_10_22, all_10_23, all_10_24 gives:
% 70.76/10.40 | (271) op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_4
% 70.76/10.40 | & op(e4, e1) = all_10_9 & op(e4, e0) = all_10_16 & op(e3, e4) =
% 70.76/10.40 | all_10_2 & op(e3, e3) = all_10_3 & op(e3, e2) = all_10_5 & op(e3, e1)
% 70.76/10.40 | = all_10_10 & op(e3, e0) = all_10_17 & op(e2, e4) = all_10_6 & op(e2,
% 70.76/10.40 | e3) = all_10_7 & op(e2, e2) = all_10_8 & op(e2, e1) = all_10_11 &
% 70.76/10.40 | op(e2, e0) = all_10_18 & op(e1, e4) = all_10_12 & op(e1, e3) =
% 70.76/10.40 | all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_15 & op(e1,
% 70.76/10.40 | e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 &
% 70.76/10.41 | op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) =
% 70.76/10.41 | all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3)
% 70.76/10.41 | & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) &
% 70.76/10.41 | $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) &
% 70.76/10.41 | $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) &
% 70.76/10.41 | $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) &
% 70.76/10.41 | $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) &
% 70.76/10.41 | $i(all_10_24) & (all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 |
% 70.76/10.41 | all_10_9 = e4 | all_10_16 = e4) & (all_10_0 = e4 | all_10_2 = e4 |
% 70.76/10.41 | all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4) & (all_10_0 = e3 |
% 70.76/10.41 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3) &
% 70.76/10.41 | (all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 70.76/10.41 | all_10_20 = e3) & (all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 |
% 70.76/10.41 | all_10_9 = e2 | all_10_16 = e2) & (all_10_0 = e2 | all_10_2 = e2 |
% 70.76/10.41 | all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2) & (all_10_0 = e1 |
% 70.76/10.41 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1) &
% 70.76/10.41 | (all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 70.76/10.41 | all_10_20 = e1) & (all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 |
% 70.76/10.41 | all_10_9 = e0 | all_10_16 = e0) & (all_10_0 = e0 | all_10_2 = e0 |
% 70.76/10.41 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0) & (all_10_1 = e4 |
% 70.76/10.41 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4) &
% 70.76/10.41 | (all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 70.76/10.41 | all_10_21 = e3) & (all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 |
% 70.76/10.41 | all_10_13 = e2 | all_10_21 = e2) & (all_10_1 = e1 | all_10_3 = e1 |
% 70.76/10.41 | all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1) & (all_10_1 = e0 |
% 70.76/10.41 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0) &
% 70.76/10.41 | (all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 70.76/10.41 | all_10_17 = e4) & (all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 |
% 70.76/10.41 | all_10_10 = e3 | all_10_17 = e3) & (all_10_2 = e2 | all_10_3 = e2 |
% 70.76/10.41 | all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2) & (all_10_2 = e1 |
% 70.76/10.41 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1) &
% 70.76/10.41 | (all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 70.76/10.41 | all_10_17 = e0) & (all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 |
% 70.76/10.41 | all_10_14 = e4 | all_10_22 = e4) & (all_10_4 = e3 | all_10_5 = e3 |
% 70.76/10.41 | all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3) & (all_10_4 = e2 |
% 70.76/10.41 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2) &
% 70.76/10.41 | (all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 70.76/10.41 | all_10_22 = e1) & (all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 |
% 70.76/10.41 | all_10_14 = e0 | all_10_22 = e0) & (all_10_6 = e4 | all_10_7 = e4 |
% 70.76/10.41 | all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4) & (all_10_6 = e3 |
% 70.76/10.41 | all_10_7 = e3 | all_10_8 = e3 | all_10_11 = e3 | all_10_18 = e3) &
% 70.76/10.41 | (all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 70.76/10.41 | all_10_18 = e2) & (all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 |
% 70.76/10.41 | all_10_11 = e1 | all_10_18 = e1) & (all_10_6 = e0 | all_10_7 = e0 |
% 70.76/10.41 | all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0) & (all_10_9 = e4 |
% 70.76/10.41 | all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4)
% 70.76/10.41 | & (all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 70.76/10.41 | all_10_23 = e3) & (all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2
% 70.76/10.41 | | all_10_15 = e2 | all_10_23 = e2) & (all_10_9 = e1 | all_10_10 =
% 70.76/10.41 | e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1) & (all_10_9
% 70.76/10.41 | = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23
% 70.76/10.41 | = e0) & (all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 |
% 70.76/10.41 | all_10_15 = e4 | all_10_19 = e4) & (all_10_12 = e3 | all_10_13 = e3
% 70.76/10.41 | | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3) & (all_10_12 =
% 70.76/10.41 | e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 =
% 70.76/10.41 | e2) & (all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15
% 70.76/10.41 | = e1 | all_10_19 = e1) & (all_10_12 = e0 | all_10_13 = e0 |
% 70.76/10.41 | all_10_14 = e0 | all_10_15 = e0 | all_10_19 = e0) & (all_10_16 = e4
% 70.76/10.41 | | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | all_10_24 =
% 70.76/10.41 | e4) & (all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19
% 70.76/10.41 | = e3 | all_10_24 = e3) & (all_10_16 = e2 | all_10_17 = e2 |
% 70.76/10.41 | all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2) & (all_10_16 = e1
% 70.76/10.41 | | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | all_10_24 =
% 70.76/10.41 | e1) & (all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23
% 70.76/10.41 | = e4 | all_10_24 = e4) & (all_10_20 = e3 | all_10_21 = e3 |
% 70.76/10.41 | all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3) & (all_10_20 = e2
% 70.76/10.41 | | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | all_10_24 =
% 70.76/10.41 | e2) & (all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23
% 70.76/10.41 | = e1 | all_10_24 = e1) & (all_10_24 = e0 | ((all_10_16 = e0 |
% 70.76/10.41 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0) & (all_10_20
% 70.76/10.41 | = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0)))
% 70.76/10.41 |
% 70.76/10.41 | ALPHA: (271) implies:
% 70.76/10.41 | (272) op(e0, e0) = all_10_24
% 70.76/10.41 | (273) op(e0, e1) = all_10_23
% 70.76/10.41 | (274) op(e0, e2) = all_10_22
% 70.76/10.41 | (275) op(e0, e3) = all_10_21
% 70.76/10.41 | (276) op(e0, e4) = all_10_20
% 70.76/10.41 | (277) op(e1, e0) = all_10_19
% 70.76/10.41 | (278) op(e1, e1) = all_10_15
% 70.76/10.41 | (279) op(e1, e2) = all_10_14
% 70.76/10.41 | (280) op(e1, e3) = all_10_13
% 70.76/10.41 | (281) op(e1, e4) = all_10_12
% 70.76/10.41 | (282) op(e2, e0) = all_10_18
% 70.76/10.41 | (283) op(e2, e1) = all_10_11
% 70.76/10.41 | (284) op(e2, e2) = all_10_8
% 70.76/10.41 | (285) op(e2, e3) = all_10_7
% 70.76/10.41 | (286) op(e2, e4) = all_10_6
% 70.76/10.41 | (287) op(e3, e0) = all_10_17
% 70.76/10.41 | (288) op(e3, e1) = all_10_10
% 70.76/10.41 | (289) op(e3, e2) = all_10_5
% 70.76/10.41 | (290) op(e3, e3) = all_10_3
% 70.76/10.41 | (291) op(e3, e4) = all_10_2
% 70.76/10.41 | (292) op(e4, e0) = all_10_16
% 70.76/10.41 | (293) op(e4, e1) = all_10_9
% 70.76/10.41 | (294) op(e4, e2) = all_10_4
% 70.76/10.41 | (295) op(e4, e3) = all_10_1
% 70.76/10.41 | (296) op(e4, e4) = all_10_0
% 70.76/10.41 | (297) all_10_24 = e0 | ((all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 |
% 70.76/10.41 | all_10_19 = e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 =
% 70.76/10.41 | e0 | all_10_23 = e0))
% 70.76/10.41 | (298) all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 70.76/10.41 | all_10_24 = e1
% 70.76/10.41 | (299) all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 70.76/10.41 | all_10_24 = e2
% 70.76/10.41 | (300) all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 70.76/10.41 | all_10_24 = e3
% 70.76/10.41 | (301) all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 70.76/10.41 | all_10_24 = e4
% 70.76/10.41 | (302) all_10_16 = e1 | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 70.76/10.41 | all_10_24 = e1
% 70.76/10.41 | (303) all_10_16 = e2 | all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 70.76/10.41 | all_10_24 = e2
% 70.76/10.41 | (304) all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 70.76/10.41 | all_10_24 = e3
% 70.76/10.41 | (305) all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 70.76/10.41 | all_10_24 = e4
% 70.76/10.41 | (306) all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 70.76/10.41 | all_10_19 = e1
% 70.76/10.41 | (307) all_10_12 = e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 70.76/10.41 | all_10_19 = e2
% 70.76/10.41 | (308) all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 70.76/10.41 | all_10_19 = e3
% 70.76/10.41 | (309) all_10_9 = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 70.76/10.41 | all_10_23 = e0
% 70.76/10.41 | (310) all_10_9 = e1 | all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 70.76/10.41 | all_10_23 = e1
% 70.76/10.41 | (311) all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 70.76/10.41 | all_10_23 = e2
% 70.76/10.41 | (312) all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 70.76/10.41 | all_10_23 = e3
% 70.76/10.41 | (313) all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 70.76/10.41 | all_10_18 = e0
% 70.76/10.41 | (314) all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 70.76/10.41 | all_10_18 = e1
% 70.76/10.41 | (315) all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 70.76/10.41 | all_10_18 = e2
% 70.76/10.41 | (316) all_10_6 = e4 | all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 70.76/10.41 | all_10_18 = e4
% 70.76/10.41 | (317) all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 70.76/10.41 | all_10_22 = e1
% 70.76/10.41 | (318) all_10_4 = e2 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 |
% 70.76/10.41 | all_10_22 = e2
% 70.76/10.41 | (319) all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 70.76/10.41 | all_10_22 = e4
% 70.76/10.41 | (320) all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 70.76/10.41 | all_10_17 = e0
% 70.76/10.41 | (321) all_10_2 = e1 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 70.76/10.41 | all_10_17 = e1
% 70.76/10.41 | (322) all_10_2 = e2 | all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 70.76/10.41 | all_10_17 = e2
% 70.76/10.41 | (323) all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 70.76/10.41 | all_10_17 = e3
% 70.76/10.41 | (324) all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 70.76/10.41 | all_10_17 = e4
% 70.76/10.41 | (325) all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 70.76/10.41 | all_10_21 = e0
% 70.76/10.41 | (326) all_10_1 = e1 | all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 70.76/10.41 | all_10_21 = e1
% 70.76/10.41 | (327) all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 70.76/10.41 | all_10_21 = e2
% 70.76/10.41 | (328) all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 70.76/10.41 | all_10_21 = e3
% 70.76/10.41 | (329) all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 70.76/10.41 | all_10_21 = e4
% 70.76/10.41 | (330) all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 70.76/10.41 | all_10_20 = e0
% 70.76/10.41 | (331) all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 70.76/10.41 | all_10_16 = e0
% 70.76/10.41 | (332) all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 70.76/10.41 | all_10_20 = e1
% 70.76/10.41 | (333) all_10_0 = e1 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 70.76/10.41 | all_10_16 = e1
% 70.76/10.41 | (334) all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 70.76/10.41 | all_10_20 = e3
% 70.76/10.41 | (335) all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 70.76/10.41 | all_10_16 = e3
% 70.76/10.41 | (336) all_10_0 = e4 | all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 70.76/10.41 | all_10_20 = e4
% 70.76/10.41 | (337) all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 | all_10_9 = e4 |
% 70.76/10.41 | all_10_16 = e4
% 70.76/10.41 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_69, e0, e0,
% 70.76/10.42 | simplifying with (154), (199) gives:
% 70.76/10.42 | (338) all_8_69 = all_6_24
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_69, all_10_24, e0, e0,
% 70.76/10.42 | simplifying with (199), (272) gives:
% 70.76/10.42 | (339) all_10_24 = all_8_69
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0,
% 70.76/10.42 | simplifying with (128), (272) gives:
% 70.76/10.42 | (340) all_10_24 = all_4_24
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_62, all_10_23, e1, e0,
% 70.76/10.42 | simplifying with (200), (273) gives:
% 70.76/10.42 | (341) all_10_23 = all_8_62
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_23, e1, e0,
% 70.76/10.42 | simplifying with (155), (273) gives:
% 70.76/10.42 | (342) all_10_23 = all_6_23
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_23, e1, e0,
% 70.76/10.42 | simplifying with (129), (273) gives:
% 70.76/10.42 | (343) all_10_23 = all_4_19
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_58, all_10_22, e2, e0,
% 70.76/10.42 | simplifying with (201), (274) gives:
% 70.76/10.42 | (344) all_10_22 = all_8_58
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0,
% 70.76/10.42 | simplifying with (156), (274) gives:
% 70.76/10.42 | (345) all_10_22 = all_6_22
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_22, e2, e0,
% 70.76/10.42 | simplifying with (130), (274) gives:
% 70.76/10.42 | (346) all_10_22 = all_4_14
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_54, e3, e0,
% 70.76/10.42 | simplifying with (157), (202) gives:
% 70.76/10.42 | (347) all_8_54 = all_6_21
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_54, all_10_21, e3, e0,
% 70.76/10.42 | simplifying with (202), (275) gives:
% 70.76/10.42 | (348) all_10_21 = all_8_54
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0,
% 70.76/10.42 | simplifying with (131), (275) gives:
% 70.76/10.42 | (349) all_10_21 = all_4_9
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_50, all_10_20, e4, e0,
% 70.76/10.42 | simplifying with (203), (276) gives:
% 70.76/10.42 | (350) all_10_20 = all_8_50
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0,
% 70.76/10.42 | simplifying with (158), (276) gives:
% 70.76/10.42 | (351) all_10_20 = all_6_20
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0,
% 70.76/10.42 | simplifying with (132), (276) gives:
% 70.76/10.42 | (352) all_10_20 = all_4_4
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_63, e0, e1,
% 70.76/10.42 | simplifying with (159), (204) gives:
% 70.76/10.42 | (353) all_8_63 = all_6_19
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_63, all_10_19, e0, e1,
% 70.76/10.42 | simplifying with (204), (277) gives:
% 70.76/10.42 | (354) all_10_19 = all_8_63
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1,
% 70.76/10.42 | simplifying with (133), (277) gives:
% 70.76/10.42 | (355) all_10_19 = all_4_23
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_8_68, e1, e1,
% 70.76/10.42 | simplifying with (134), (205) gives:
% 70.76/10.42 | (356) all_8_68 = all_4_18
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with e4, all_8_68, e1, e1,
% 70.76/10.42 | simplifying with (22), (205) gives:
% 70.76/10.42 | (357) all_8_68 = e4
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_68, all_10_15, e1, e1,
% 70.76/10.42 | simplifying with (205), (278) gives:
% 70.76/10.42 | (358) all_10_15 = all_8_68
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_15, e1, e1,
% 70.76/10.42 | simplifying with (160), (278) gives:
% 70.76/10.42 | (359) all_10_15 = all_6_18
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_43, e2, e1,
% 70.76/10.42 | simplifying with (161), (206) gives:
% 70.76/10.42 | (360) all_8_43 = all_6_17
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_8_43, e2, e1,
% 70.76/10.42 | simplifying with (135), (206) gives:
% 70.76/10.42 | (361) all_8_43 = all_4_13
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_43, all_10_14, e2, e1,
% 70.76/10.42 | simplifying with (206), (279) gives:
% 70.76/10.42 | (362) all_10_14 = all_8_43
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with e0, all_10_14, e2, e1,
% 70.76/10.42 | simplifying with (23), (279) gives:
% 70.76/10.42 | (363) all_10_14 = e0
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_39, e3, e1,
% 70.76/10.42 | simplifying with (162), (207) gives:
% 70.76/10.42 | (364) all_8_39 = all_6_16
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_39, all_10_13, e3, e1,
% 70.76/10.42 | simplifying with (207), (280) gives:
% 70.76/10.42 | (365) all_10_13 = all_8_39
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_13, e3, e1,
% 70.76/10.42 | simplifying with (136), (280) gives:
% 70.76/10.42 | (366) all_10_13 = all_4_8
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_35, e4, e1,
% 70.76/10.42 | simplifying with (163), (208) gives:
% 70.76/10.42 | (367) all_8_35 = all_6_15
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_35, all_10_12, e4, e1,
% 70.76/10.42 | simplifying with (208), (281) gives:
% 70.76/10.42 | (368) all_10_12 = all_8_35
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_12, e4, e1,
% 70.76/10.42 | simplifying with (137), (281) gives:
% 70.76/10.42 | (369) all_10_12 = all_4_3
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_59, e0, e2,
% 70.76/10.42 | simplifying with (138), (209) gives:
% 70.76/10.42 | (370) all_8_59 = all_4_22
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_59, all_10_18, e0, e2,
% 70.76/10.42 | simplifying with (209), (282) gives:
% 70.76/10.42 | (371) all_10_18 = all_8_59
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_18, e0, e2,
% 70.76/10.42 | simplifying with (164), (282) gives:
% 70.76/10.42 | (372) all_10_18 = all_6_14
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_44, e1, e2,
% 70.76/10.42 | simplifying with (165), (210) gives:
% 70.76/10.42 | (373) all_8_44 = all_6_13
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_44, all_10_11, e1, e2,
% 70.76/10.42 | simplifying with (210), (283) gives:
% 70.76/10.42 | (374) all_10_11 = all_8_44
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_11, e1, e2,
% 70.76/10.42 | simplifying with (139), (283) gives:
% 70.76/10.42 | (375) all_10_11 = all_4_17
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_6_12, e2, e2,
% 70.76/10.42 | simplifying with (140), (166) gives:
% 70.76/10.42 | (376) all_6_12 = all_4_12
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_67, e2, e2,
% 70.76/10.42 | simplifying with (166), (211) gives:
% 70.76/10.42 | (377) all_8_67 = all_6_12
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_67, all_10_8, e2, e2,
% 70.76/10.42 | simplifying with (211), (284) gives:
% 70.76/10.42 | (378) all_10_8 = all_8_67
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with e3, all_10_8, e2, e2,
% 70.76/10.42 | simplifying with (24), (284) gives:
% 70.76/10.42 | (379) all_10_8 = e3
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_8_26, e3, e2,
% 70.76/10.42 | simplifying with (141), (212) gives:
% 70.76/10.42 | (380) all_8_26 = all_4_7
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_26, all_10_7, e3, e2,
% 70.76/10.42 | simplifying with (212), (285) gives:
% 70.76/10.42 | (381) all_10_7 = all_8_26
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_7, e3, e2,
% 70.76/10.42 | simplifying with (167), (285) gives:
% 70.76/10.42 | (382) all_10_7 = all_6_11
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_6, e4, e2,
% 70.76/10.42 | simplifying with (213), (286) gives:
% 70.76/10.42 | (383) all_10_6 = all_8_22
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_6, e4, e2,
% 70.76/10.42 | simplifying with (168), (286) gives:
% 70.76/10.42 | (384) all_10_6 = all_6_10
% 70.76/10.42 |
% 70.76/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_6, e4, e2,
% 70.76/10.42 | simplifying with (142), (286) gives:
% 70.76/10.42 | (385) all_10_6 = all_4_2
% 70.76/10.42 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_55, e0, e3,
% 70.76/10.43 | simplifying with (169), (214) gives:
% 70.76/10.43 | (386) all_8_55 = all_6_9
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_55, all_10_17, e0, e3,
% 70.76/10.43 | simplifying with (214), (287) gives:
% 70.76/10.43 | (387) all_10_17 = all_8_55
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_17, e0, e3,
% 70.76/10.43 | simplifying with (143), (287) gives:
% 70.76/10.43 | (388) all_10_17 = all_4_21
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_40, all_10_10, e1, e3,
% 70.76/10.43 | simplifying with (215), (288) gives:
% 70.76/10.43 | (389) all_10_10 = all_8_40
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_10_10, e1, e3,
% 70.76/10.43 | simplifying with (170), (288) gives:
% 70.76/10.43 | (390) all_10_10 = all_6_8
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_10, e1, e3,
% 70.76/10.43 | simplifying with (144), (288) gives:
% 70.76/10.43 | (391) all_10_10 = all_4_16
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_8_27, e2, e3,
% 70.76/10.43 | simplifying with (145), (216) gives:
% 70.76/10.43 | (392) all_8_27 = all_4_11
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_27, all_10_5, e2, e3,
% 70.76/10.43 | simplifying with (216), (289) gives:
% 70.76/10.43 | (393) all_10_5 = all_8_27
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_5, e2, e3,
% 70.76/10.43 | simplifying with (171), (289) gives:
% 70.76/10.43 | (394) all_10_5 = all_6_7
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_8_66, e3, e3,
% 70.76/10.43 | simplifying with (172), (217) gives:
% 70.76/10.43 | (395) all_8_66 = all_6_6
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_66, all_10_3, e3, e3,
% 70.76/10.43 | simplifying with (217), (290) gives:
% 70.76/10.43 | (396) all_10_3 = all_8_66
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_3, e3, e3,
% 70.76/10.43 | simplifying with (146), (290) gives:
% 70.76/10.43 | (397) all_10_3 = all_4_6
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_11, e4, e3,
% 70.76/10.43 | simplifying with (173), (218) gives:
% 70.76/10.43 | (398) all_8_11 = all_6_5
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_2, e4, e3,
% 70.76/10.43 | simplifying with (218), (291) gives:
% 70.76/10.43 | (399) all_10_2 = all_8_11
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_2, e4, e3,
% 70.76/10.43 | simplifying with (147), (291) gives:
% 70.76/10.43 | (400) all_10_2 = all_4_1
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_51, e0, e4,
% 70.76/10.43 | simplifying with (174), (219) gives:
% 70.76/10.43 | (401) all_8_51 = all_6_4
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_51, all_10_16, e0, e4,
% 70.76/10.43 | simplifying with (219), (292) gives:
% 70.76/10.43 | (402) all_10_16 = all_8_51
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_16, e0, e4,
% 70.76/10.43 | simplifying with (148), (292) gives:
% 70.76/10.43 | (403) all_10_16 = all_4_20
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_36, e1, e4,
% 70.76/10.43 | simplifying with (175), (220) gives:
% 70.76/10.43 | (404) all_8_36 = all_6_3
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_36, all_10_9, e1, e4,
% 70.76/10.43 | simplifying with (220), (293) gives:
% 70.76/10.43 | (405) all_10_9 = all_8_36
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_9, e1, e4,
% 70.76/10.43 | simplifying with (149), (293) gives:
% 70.76/10.43 | (406) all_10_9 = all_4_15
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_4, e2, e4,
% 70.76/10.43 | simplifying with (221), (294) gives:
% 70.76/10.43 | (407) all_10_4 = all_8_23
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_4, e2, e4,
% 70.76/10.43 | simplifying with (176), (294) gives:
% 70.76/10.43 | (408) all_10_4 = all_6_2
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_4, e2, e4,
% 70.76/10.43 | simplifying with (150), (294) gives:
% 70.76/10.43 | (409) all_10_4 = all_4_10
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_12, e3, e4,
% 70.76/10.43 | simplifying with (177), (222) gives:
% 70.76/10.43 | (410) all_8_12 = all_6_1
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_1, e3, e4,
% 70.76/10.43 | simplifying with (222), (295) gives:
% 70.76/10.43 | (411) all_10_1 = all_8_12
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_1, e3, e4,
% 70.76/10.43 | simplifying with (151), (295) gives:
% 70.76/10.43 | (412) all_10_1 = all_4_5
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_6_0, e4, e4,
% 70.76/10.43 | simplifying with (152), (178) gives:
% 70.76/10.43 | (413) all_6_0 = all_4_0
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_65, e4, e4,
% 70.76/10.43 | simplifying with (178), (223) gives:
% 70.76/10.43 | (414) all_8_65 = all_6_0
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with all_8_65, all_10_0, e4, e4,
% 70.76/10.43 | simplifying with (223), (296) gives:
% 70.76/10.43 | (415) all_10_0 = all_8_65
% 70.76/10.43 |
% 70.76/10.43 | GROUND_INST: instantiating (function-axioms) with e2, all_10_0, e4, e4,
% 70.76/10.43 | simplifying with (25), (296) gives:
% 70.76/10.43 | (416) all_10_0 = e2
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (415), (416) imply:
% 70.76/10.43 | (417) all_8_65 = e2
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (417) implies:
% 70.76/10.43 | (418) all_8_65 = e2
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (411), (412) imply:
% 70.76/10.43 | (419) all_8_12 = all_4_5
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (419) implies:
% 70.76/10.43 | (420) all_8_12 = all_4_5
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (399), (400) imply:
% 70.76/10.43 | (421) all_8_11 = all_4_1
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (421) implies:
% 70.76/10.43 | (422) all_8_11 = all_4_1
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (396), (397) imply:
% 70.76/10.43 | (423) all_8_66 = all_4_6
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (423) implies:
% 70.76/10.43 | (424) all_8_66 = all_4_6
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (407), (409) imply:
% 70.76/10.43 | (425) all_8_23 = all_4_10
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (407), (408) imply:
% 70.76/10.43 | (426) all_8_23 = all_6_2
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (393), (394) imply:
% 70.76/10.43 | (427) all_8_27 = all_6_7
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (427) implies:
% 70.76/10.43 | (428) all_8_27 = all_6_7
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (383), (385) imply:
% 70.76/10.43 | (429) all_8_22 = all_4_2
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (383), (384) imply:
% 70.76/10.43 | (430) all_8_22 = all_6_10
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (381), (382) imply:
% 70.76/10.43 | (431) all_8_26 = all_6_11
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (431) implies:
% 70.76/10.43 | (432) all_8_26 = all_6_11
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (378), (379) imply:
% 70.76/10.43 | (433) all_8_67 = e3
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (433) implies:
% 70.76/10.43 | (434) all_8_67 = e3
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (405), (406) imply:
% 70.76/10.43 | (435) all_8_36 = all_4_15
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (435) implies:
% 70.76/10.43 | (436) all_8_36 = all_4_15
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (389), (391) imply:
% 70.76/10.43 | (437) all_8_40 = all_4_16
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (389), (390) imply:
% 70.76/10.43 | (438) all_8_40 = all_6_8
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (374), (375) imply:
% 70.76/10.43 | (439) all_8_44 = all_4_17
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (439) implies:
% 70.76/10.43 | (440) all_8_44 = all_4_17
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (368), (369) imply:
% 70.76/10.43 | (441) all_8_35 = all_4_3
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (441) implies:
% 70.76/10.43 | (442) all_8_35 = all_4_3
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (365), (366) imply:
% 70.76/10.43 | (443) all_8_39 = all_4_8
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (443) implies:
% 70.76/10.43 | (444) all_8_39 = all_4_8
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (362), (363) imply:
% 70.76/10.43 | (445) all_8_43 = e0
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (445) implies:
% 70.76/10.43 | (446) all_8_43 = e0
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (358), (359) imply:
% 70.76/10.43 | (447) all_8_68 = all_6_18
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (447) implies:
% 70.76/10.43 | (448) all_8_68 = all_6_18
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (402), (403) imply:
% 70.76/10.43 | (449) all_8_51 = all_4_20
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (449) implies:
% 70.76/10.43 | (450) all_8_51 = all_4_20
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (387), (388) imply:
% 70.76/10.43 | (451) all_8_55 = all_4_21
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (451) implies:
% 70.76/10.43 | (452) all_8_55 = all_4_21
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (371), (372) imply:
% 70.76/10.43 | (453) all_8_59 = all_6_14
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (453) implies:
% 70.76/10.43 | (454) all_8_59 = all_6_14
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (354), (355) imply:
% 70.76/10.43 | (455) all_8_63 = all_4_23
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (455) implies:
% 70.76/10.43 | (456) all_8_63 = all_4_23
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (350), (352) imply:
% 70.76/10.43 | (457) all_8_50 = all_4_4
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (350), (351) imply:
% 70.76/10.43 | (458) all_8_50 = all_6_20
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (348), (349) imply:
% 70.76/10.43 | (459) all_8_54 = all_4_9
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (459) implies:
% 70.76/10.43 | (460) all_8_54 = all_4_9
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (344), (346) imply:
% 70.76/10.43 | (461) all_8_58 = all_4_14
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (344), (345) imply:
% 70.76/10.43 | (462) all_8_58 = all_6_22
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (341), (343) imply:
% 70.76/10.43 | (463) all_8_62 = all_4_19
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (341), (342) imply:
% 70.76/10.43 | (464) all_8_62 = all_6_23
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (339), (340) imply:
% 70.76/10.43 | (465) all_8_69 = all_4_24
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (465) implies:
% 70.76/10.43 | (466) all_8_69 = all_4_24
% 70.76/10.43 |
% 70.76/10.43 | COMBINE_EQS: (398), (422) imply:
% 70.76/10.43 | (467) all_6_5 = all_4_1
% 70.76/10.43 |
% 70.76/10.43 | SIMP: (467) implies:
% 70.76/10.44 | (468) all_6_5 = all_4_1
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (410), (420) imply:
% 70.76/10.44 | (469) all_6_1 = all_4_5
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (429), (430) imply:
% 70.76/10.44 | (470) all_6_10 = all_4_2
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (425), (426) imply:
% 70.76/10.44 | (471) all_6_2 = all_4_10
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (380), (432) imply:
% 70.76/10.44 | (472) all_6_11 = all_4_7
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (472) implies:
% 70.76/10.44 | (473) all_6_11 = all_4_7
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (392), (428) imply:
% 70.76/10.44 | (474) all_6_7 = all_4_11
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (367), (442) imply:
% 70.76/10.44 | (475) all_6_15 = all_4_3
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (404), (436) imply:
% 70.76/10.44 | (476) all_6_3 = all_4_15
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (476) implies:
% 70.76/10.44 | (477) all_6_3 = all_4_15
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (364), (444) imply:
% 70.76/10.44 | (478) all_6_16 = all_4_8
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (478) implies:
% 70.76/10.44 | (479) all_6_16 = all_4_8
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (437), (438) imply:
% 70.76/10.44 | (480) all_6_8 = all_4_16
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (360), (446) imply:
% 70.76/10.44 | (481) all_6_17 = e0
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (360), (361) imply:
% 70.76/10.44 | (482) all_6_17 = all_4_13
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (373), (440) imply:
% 70.76/10.44 | (483) all_6_13 = all_4_17
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (483) implies:
% 70.76/10.44 | (484) all_6_13 = all_4_17
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (457), (458) imply:
% 70.76/10.44 | (485) all_6_20 = all_4_4
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (485) implies:
% 70.76/10.44 | (486) all_6_20 = all_4_4
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (401), (450) imply:
% 70.76/10.44 | (487) all_6_4 = all_4_20
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (487) implies:
% 70.76/10.44 | (488) all_6_4 = all_4_20
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (347), (460) imply:
% 70.76/10.44 | (489) all_6_21 = all_4_9
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (489) implies:
% 70.76/10.44 | (490) all_6_21 = all_4_9
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (386), (452) imply:
% 70.76/10.44 | (491) all_6_9 = all_4_21
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (461), (462) imply:
% 70.76/10.44 | (492) all_6_22 = all_4_14
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (492) implies:
% 70.76/10.44 | (493) all_6_22 = all_4_14
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (370), (454) imply:
% 70.76/10.44 | (494) all_6_14 = all_4_22
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (463), (464) imply:
% 70.76/10.44 | (495) all_6_23 = all_4_19
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (495) implies:
% 70.76/10.44 | (496) all_6_23 = all_4_19
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (353), (456) imply:
% 70.76/10.44 | (497) all_6_19 = all_4_23
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (497) implies:
% 70.76/10.44 | (498) all_6_19 = all_4_23
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (414), (418) imply:
% 70.76/10.44 | (499) all_6_0 = e2
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (499) implies:
% 70.76/10.44 | (500) all_6_0 = e2
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (395), (424) imply:
% 70.76/10.44 | (501) all_6_6 = all_4_6
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (377), (434) imply:
% 70.76/10.44 | (502) all_6_12 = e3
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (502) implies:
% 70.76/10.44 | (503) all_6_12 = e3
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (357), (448) imply:
% 70.76/10.44 | (504) all_6_18 = e4
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (356), (448) imply:
% 70.76/10.44 | (505) all_6_18 = all_4_18
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (338), (466) imply:
% 70.76/10.44 | (506) all_6_24 = all_4_24
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (413), (500) imply:
% 70.76/10.44 | (507) all_4_0 = e2
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (507) implies:
% 70.76/10.44 | (508) all_4_0 = e2
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (376), (503) imply:
% 70.76/10.44 | (509) all_4_12 = e3
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (509) implies:
% 70.76/10.44 | (510) all_4_12 = e3
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (481), (482) imply:
% 70.76/10.44 | (511) all_4_13 = e0
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (504), (505) imply:
% 70.76/10.44 | (512) all_4_18 = e4
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (512) implies:
% 70.76/10.44 | (513) all_4_18 = e4
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (372), (494) imply:
% 70.76/10.44 | (514) all_10_18 = all_4_22
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (359), (504) imply:
% 70.76/10.44 | (515) all_10_15 = e4
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (382), (473) imply:
% 70.76/10.44 | (516) all_10_7 = all_4_7
% 70.76/10.44 |
% 70.76/10.44 | COMBINE_EQS: (394), (474) imply:
% 70.76/10.44 | (517) all_10_5 = all_4_11
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (127), (508) imply:
% 70.76/10.44 | (518) ~ (all_4_1 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (518) implies:
% 70.76/10.44 | (519) ~ (all_4_1 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (126), (508) imply:
% 70.76/10.44 | (520) ~ (all_4_2 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (520) implies:
% 70.76/10.44 | (521) ~ (all_4_2 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (125), (508) imply:
% 70.76/10.44 | (522) ~ (all_4_3 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (522) implies:
% 70.76/10.44 | (523) ~ (all_4_3 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (124), (508) imply:
% 70.76/10.44 | (524) ~ (all_4_4 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (524) implies:
% 70.76/10.44 | (525) ~ (all_4_4 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (123), (508) imply:
% 70.76/10.44 | (526) ~ (all_4_5 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (526) implies:
% 70.76/10.44 | (527) ~ (all_4_5 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (122), (508) imply:
% 70.76/10.44 | (528) ~ (all_4_10 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (528) implies:
% 70.76/10.44 | (529) ~ (all_4_10 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (121), (508) imply:
% 70.76/10.44 | (530) ~ (all_4_15 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (530) implies:
% 70.76/10.44 | (531) ~ (all_4_15 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (120), (508) imply:
% 70.76/10.44 | (532) ~ (all_4_20 = e2)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (532) implies:
% 70.76/10.44 | (533) ~ (all_4_20 = e2)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (109), (510) imply:
% 70.76/10.44 | (534) ~ (all_4_2 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (104), (511) imply:
% 70.76/10.44 | (535) ~ (all_4_3 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (103), (513) imply:
% 70.76/10.44 | (536) ~ (all_4_3 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (82), (510) imply:
% 70.76/10.44 | (537) ~ (all_4_7 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (78), (511) imply:
% 70.76/10.44 | (538) ~ (all_4_8 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (77), (513) imply:
% 70.76/10.44 | (539) ~ (all_4_8 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (71), (510) imply:
% 70.76/10.44 | (540) ~ (all_4_10 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (70), (511) imply:
% 70.76/10.44 | (541) ~ (all_4_10 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (66), (510) imply:
% 70.76/10.44 | (542) ~ (all_4_11 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (65), (511) imply:
% 70.76/10.44 | (543) ~ (all_4_11 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (61), (510), (511) imply:
% 70.76/10.44 | (544) ~ (e3 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (60), (510) imply:
% 70.76/10.44 | (545) ~ (all_4_14 = e3)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (545) implies:
% 70.76/10.44 | (546) ~ (all_4_14 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (59), (510) imply:
% 70.76/10.44 | (547) ~ (all_4_17 = e3)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (547) implies:
% 70.76/10.44 | (548) ~ (all_4_17 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (58), (510) imply:
% 70.76/10.44 | (549) ~ (all_4_22 = e3)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (549) implies:
% 70.76/10.44 | (550) ~ (all_4_22 = e3)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (57), (511) imply:
% 70.76/10.44 | (551) ~ (all_4_14 = e0)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (551) implies:
% 70.76/10.44 | (552) ~ (all_4_14 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (56), (511), (513) imply:
% 70.76/10.44 | (553) ~ (e4 = e0)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (553) implies:
% 70.76/10.44 | (554) ~ (e4 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (55), (511) imply:
% 70.76/10.44 | (555) ~ (all_4_23 = e0)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (555) implies:
% 70.76/10.44 | (556) ~ (all_4_23 = e0)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (50), (513) imply:
% 70.76/10.44 | (557) ~ (all_4_15 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (46), (513) imply:
% 70.76/10.44 | (558) ~ (all_4_16 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (43), (513) imply:
% 70.76/10.44 | (559) ~ (all_4_17 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (40), (513) imply:
% 70.76/10.44 | (560) ~ (all_4_19 = e4)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (560) implies:
% 70.76/10.44 | (561) ~ (all_4_19 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (39), (513) imply:
% 70.76/10.44 | (562) ~ (all_4_23 = e4)
% 70.76/10.44 |
% 70.76/10.44 | SIMP: (562) implies:
% 70.76/10.44 | (563) ~ (all_4_23 = e4)
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (267), (422) imply:
% 70.76/10.44 | (564) op(all_4_1, e4) = all_8_10
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (266), (422) imply:
% 70.76/10.44 | (565) op(all_4_1, e3) = all_8_9
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (265), (420) imply:
% 70.76/10.44 | (566) op(all_4_5, e4) = all_8_1
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (264), (420) imply:
% 70.76/10.44 | (567) op(all_4_5, e3) = all_8_2
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (263), (429) imply:
% 70.76/10.44 | (568) op(all_4_2, e4) = all_8_21
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (262), (429) imply:
% 70.76/10.44 | (569) op(all_4_2, e2) = all_8_20
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (261), (425) imply:
% 70.76/10.44 | (570) op(all_4_10, e4) = all_8_3
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (260), (425) imply:
% 70.76/10.44 | (571) op(all_4_10, e2) = all_8_4
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (259), (380) imply:
% 70.76/10.44 | (572) op(all_4_7, e3) = all_8_25
% 70.76/10.44 |
% 70.76/10.44 | REDUCE: (258), (380) imply:
% 70.76/10.45 | (573) op(all_4_7, e2) = all_8_24
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (257), (392) imply:
% 70.76/10.45 | (574) op(all_4_11, e3) = all_8_14
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (256), (392) imply:
% 70.76/10.45 | (575) op(all_4_11, e2) = all_8_15
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (255), (442) imply:
% 70.76/10.45 | (576) op(all_4_3, e4) = all_8_34
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (254), (442) imply:
% 70.76/10.45 | (577) op(all_4_3, e1) = all_8_33
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (253), (436) imply:
% 70.76/10.45 | (578) op(all_4_15, e4) = all_8_5
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (252), (436) imply:
% 70.76/10.45 | (579) op(all_4_15, e1) = all_8_6
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (251), (444) imply:
% 70.76/10.45 | (580) op(all_4_8, e3) = all_8_38
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (250), (444) imply:
% 70.76/10.45 | (581) op(all_4_8, e1) = all_8_37
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (249), (437) imply:
% 70.76/10.45 | (582) op(all_4_16, e3) = all_8_16
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (248), (437) imply:
% 70.76/10.45 | (583) op(all_4_16, e1) = all_8_17
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (247), (446) imply:
% 70.76/10.45 | (584) op(e0, e2) = all_8_42
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (246), (440) imply:
% 70.76/10.45 | (585) op(all_4_17, e2) = all_8_29
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (245), (440) imply:
% 70.76/10.45 | (586) op(all_4_17, e1) = all_8_30
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (244), (457) imply:
% 70.76/10.45 | (587) op(all_4_4, e4) = all_8_49
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (243), (457) imply:
% 70.76/10.45 | (588) op(all_4_4, e0) = all_8_48
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (242), (450) imply:
% 70.76/10.45 | (589) op(all_4_20, e4) = all_8_7
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (241), (450) imply:
% 70.76/10.45 | (590) op(all_4_20, e0) = all_8_8
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (240), (460) imply:
% 70.76/10.45 | (591) op(all_4_9, e3) = all_8_53
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (239), (460) imply:
% 70.76/10.45 | (592) op(all_4_9, e0) = all_8_52
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (238), (452) imply:
% 70.76/10.45 | (593) op(all_4_21, e3) = all_8_18
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (237), (452) imply:
% 70.76/10.45 | (594) op(all_4_21, e0) = all_8_19
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (236), (461) imply:
% 70.76/10.45 | (595) op(all_4_14, e2) = all_8_57
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (235), (461) imply:
% 70.76/10.45 | (596) op(all_4_14, e0) = all_8_56
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (234), (370) imply:
% 70.76/10.45 | (597) op(all_4_22, e2) = all_8_31
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (233), (370) imply:
% 70.76/10.45 | (598) op(all_4_22, e0) = all_8_32
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (232), (463) imply:
% 70.76/10.45 | (599) op(all_4_19, e1) = all_8_61
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (231), (463) imply:
% 70.76/10.45 | (600) op(all_4_19, e0) = all_8_60
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (230), (456) imply:
% 70.76/10.45 | (601) op(all_4_23, e1) = all_8_46
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (229), (456) imply:
% 70.76/10.45 | (602) op(all_4_23, e0) = all_8_47
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (228), (418) imply:
% 70.76/10.45 | (603) op(e2, e4) = all_8_0
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (227), (424) imply:
% 70.76/10.45 | (604) op(all_4_6, e3) = all_8_13
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (226), (434) imply:
% 70.76/10.45 | (605) op(e3, e2) = all_8_28
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (225), (357) imply:
% 70.76/10.45 | (606) op(e4, e1) = all_8_45
% 70.76/10.45 |
% 70.76/10.45 | REDUCE: (224), (466) imply:
% 70.76/10.45 | (607) op(all_4_24, e0) = all_8_64
% 70.76/10.45 |
% 70.76/10.45 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_8_42, e2, e0,
% 70.76/10.45 | simplifying with (130), (584) gives:
% 70.76/10.45 | (608) all_8_42 = all_4_14
% 70.76/10.45 |
% 70.76/10.45 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_8_0, e4, e2,
% 70.76/10.45 | simplifying with (142), (603) gives:
% 70.76/10.45 | (609) all_8_0 = all_4_2
% 70.76/10.45 |
% 70.76/10.45 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_8_28, e2, e3,
% 70.76/10.45 | simplifying with (145), (605) gives:
% 70.76/10.45 | (610) all_8_28 = all_4_11
% 70.76/10.45 |
% 70.76/10.45 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_8_45, e1, e4,
% 70.76/10.45 | simplifying with (149), (606) gives:
% 70.76/10.45 | (611) all_8_45 = all_4_15
% 70.76/10.45 |
% 70.76/10.45 | BETA: splitting (297) gives:
% 70.76/10.45 |
% 70.76/10.45 | Case 1:
% 70.76/10.45 | |
% 70.76/10.45 | | (612) all_10_24 = e0
% 70.76/10.45 | |
% 70.76/10.45 | | COMBINE_EQS: (340), (612) imply:
% 70.76/10.45 | | (613) all_4_24 = e0
% 70.76/10.45 | |
% 70.76/10.45 | | SIMP: (613) implies:
% 70.76/10.45 | | (614) all_4_24 = e0
% 70.76/10.45 | |
% 70.76/10.45 | | COMBINE_EQS: (466), (614) imply:
% 70.76/10.45 | | (615) all_8_69 = e0
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (98), (614) imply:
% 70.76/10.45 | | (616) ~ (all_4_4 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (73), (614) imply:
% 70.76/10.45 | | (617) ~ (all_4_9 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (38), (614) imply:
% 70.76/10.45 | | (618) ~ (all_4_19 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (34), (614) imply:
% 70.76/10.45 | | (619) ~ (all_4_20 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (31), (614) imply:
% 70.76/10.45 | | (620) ~ (all_4_21 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | REDUCE: (29), (614) imply:
% 70.76/10.45 | | (621) ~ (all_4_22 = e0)
% 70.76/10.45 | |
% 70.76/10.45 | | BETA: splitting (270) gives:
% 70.76/10.45 | |
% 70.76/10.45 | | Case 1:
% 70.76/10.45 | | |
% 70.76/10.45 | | | (622) all_8_65 = e1
% 70.76/10.45 | | |
% 70.76/10.45 | | | REF_CLOSE: (17), (418), (622) are inconsistent by sub-proof #268.
% 70.76/10.45 | | |
% 70.76/10.45 | | Case 2:
% 70.76/10.45 | | |
% 70.76/10.45 | | | (623) all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 70.76/10.45 | | |
% 70.76/10.45 | | | BETA: splitting (623) gives:
% 70.76/10.45 | | |
% 70.76/10.45 | | | Case 1:
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | (624) all_8_66 = e1
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | COMBINE_EQS: (424), (624) imply:
% 70.76/10.45 | | | | (625) all_4_6 = e1
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (625) implies:
% 70.76/10.45 | | | | (626) all_4_6 = e1
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | COMBINE_EQS: (397), (626) imply:
% 70.76/10.45 | | | | (627) all_10_3 = e1
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (116), (626) imply:
% 70.76/10.45 | | | | (628) ~ (all_4_1 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (97), (626) imply:
% 70.76/10.45 | | | | (629) ~ (all_4_5 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (90), (626) imply:
% 70.76/10.45 | | | | (630) ~ (all_4_7 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (630) implies:
% 70.76/10.45 | | | | (631) ~ (all_4_7 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (89), (626) imply:
% 70.76/10.45 | | | | (632) ~ (all_4_8 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (632) implies:
% 70.76/10.45 | | | | (633) ~ (all_4_8 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (88), (626) imply:
% 70.76/10.45 | | | | (634) ~ (all_4_9 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (634) implies:
% 70.76/10.45 | | | | (635) ~ (all_4_9 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (87), (626) imply:
% 70.76/10.45 | | | | (636) ~ (all_4_11 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (636) implies:
% 70.76/10.45 | | | | (637) ~ (all_4_11 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (86), (626) imply:
% 70.76/10.45 | | | | (638) ~ (all_4_16 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (638) implies:
% 70.76/10.45 | | | | (639) ~ (all_4_16 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (85), (626) imply:
% 70.76/10.45 | | | | (640) ~ (all_4_21 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | SIMP: (640) implies:
% 70.76/10.45 | | | | (641) ~ (all_4_21 = e1)
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (604), (626) imply:
% 70.76/10.45 | | | | (642) op(e1, e3) = all_8_13
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | REDUCE: (146), (626) imply:
% 70.76/10.45 | | | | (643) op(e3, e3) = e1
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, all_8_13, e3,
% 70.76/10.45 | | | | e1, simplifying with (136), (642) gives:
% 70.76/10.45 | | | | (644) all_8_13 = all_4_8
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | BETA: splitting (196) gives:
% 70.76/10.45 | | | |
% 70.76/10.45 | | | | Case 1:
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | | (645) all_6_2 = e2
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | | REF_CLOSE: (471), (529), (645) are inconsistent by sub-proof #267.
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | Case 2:
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | | (646) ~ (all_6_2 = e2)
% 70.76/10.45 | | | | | (647) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | | BETA: splitting (192) gives:
% 70.76/10.45 | | | | |
% 70.76/10.45 | | | | | Case 1:
% 70.76/10.45 | | | | | |
% 70.76/10.45 | | | | | | (648) all_6_7 = e2
% 70.76/10.45 | | | | | |
% 70.76/10.45 | | | | | | COMBINE_EQS: (474), (648) imply:
% 70.76/10.45 | | | | | | (649) all_4_11 = e2
% 70.76/10.45 | | | | | |
% 70.76/10.45 | | | | | | SIMP: (649) implies:
% 70.76/10.45 | | | | | | (650) all_4_11 = e2
% 70.76/10.45 | | | | | |
% 70.76/10.45 | | | | | | COMBINE_EQS: (392), (650) imply:
% 70.76/10.45 | | | | | | (651) all_8_27 = e2
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | COMBINE_EQS: (517), (650) imply:
% 70.76/10.46 | | | | | | (652) all_10_5 = e2
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | REDUCE: (64), (650) imply:
% 70.76/10.46 | | | | | | (653) ~ (all_4_14 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | SIMP: (653) implies:
% 70.76/10.46 | | | | | | (654) ~ (all_4_14 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | REDUCE: (62), (650) imply:
% 70.76/10.46 | | | | | | (655) ~ (all_4_21 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | SIMP: (655) implies:
% 70.76/10.46 | | | | | | (656) ~ (all_4_21 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | REDUCE: (542), (650) imply:
% 70.76/10.46 | | | | | | (657) ~ (e3 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | SIMP: (657) implies:
% 70.76/10.46 | | | | | | (658) ~ (e3 = e2)
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | REDUCE: (574), (650) imply:
% 70.76/10.46 | | | | | | (659) op(e2, e3) = all_8_14
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, all_8_14,
% 70.76/10.46 | | | | | | e3, e2, simplifying with (141), (659) gives:
% 70.76/10.46 | | | | | | (660) all_8_14 = all_4_7
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | BETA: splitting (184) gives:
% 70.76/10.46 | | | | | |
% 70.76/10.46 | | | | | | Case 1:
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | (661) all_6_16 = e2
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | COMBINE_EQS: (479), (661) imply:
% 70.76/10.46 | | | | | | | (662) all_4_8 = e2
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | COMBINE_EQS: (366), (662) imply:
% 70.76/10.46 | | | | | | | (663) all_10_13 = e2
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | REDUCE: (79), (662) imply:
% 70.76/10.46 | | | | | | | (664) ~ (all_4_9 = e2)
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | SIMP: (664) implies:
% 70.76/10.46 | | | | | | | (665) ~ (all_4_9 = e2)
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | REDUCE: (76), (662) imply:
% 70.76/10.46 | | | | | | | (666) ~ (all_4_23 = e2)
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | SIMP: (666) implies:
% 70.76/10.46 | | | | | | | (667) ~ (all_4_23 = e2)
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | REDUCE: (580), (662) imply:
% 70.76/10.46 | | | | | | | (668) op(e2, e3) = all_8_38
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | REDUCE: (581), (662) imply:
% 70.76/10.46 | | | | | | | (669) op(e2, e1) = all_8_37
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | REDUCE: (136), (662) imply:
% 70.76/10.46 | | | | | | | (670) op(e1, e3) = e2
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | BETA: splitting (303) gives:
% 70.76/10.46 | | | | | | |
% 70.76/10.46 | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | (671) all_10_16 = e2
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | COMBINE_EQS: (403), (671) imply:
% 70.76/10.46 | | | | | | | | (672) all_4_20 = e2
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | REDUCE: (533), (672) imply:
% 70.76/10.46 | | | | | | | | (673) $false
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | CLOSE: (673) is inconsistent.
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | (674) all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 70.76/10.46 | | | | | | | | all_10_24 = e2
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | BETA: splitting (674) gives:
% 70.76/10.46 | | | | | | | |
% 70.76/10.46 | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | | (675) all_10_17 = e2
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | | REF_CLOSE: (388), (656), (675) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | #266.
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | | (676) all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | | BETA: splitting (299) gives:
% 70.76/10.46 | | | | | | | | |
% 70.76/10.46 | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | (677) all_10_20 = e2
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | REF_CLOSE: (352), (525), (677) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | | #265.
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | (678) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 70.76/10.46 | | | | | | | | | | all_10_24 = e2
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | BETA: splitting (678) gives:
% 70.76/10.46 | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | (679) all_10_21 = e2
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | REF_CLOSE: (349), (665), (679) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | | | #264.
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | (680) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | BETA: splitting (676) gives:
% 70.76/10.46 | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | (681) all_10_18 = e2
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | COMBINE_EQS: (514), (681) imply:
% 70.76/10.46 | | | | | | | | | | | | (682) all_4_22 = e2
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | SIMP: (682) implies:
% 70.76/10.46 | | | | | | | | | | | | (683) all_4_22 = e2
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | REDUCE: (80), (683) imply:
% 70.76/10.46 | | | | | | | | | | | | (684) ~ (all_4_7 = e2)
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | BETA: splitting (680) gives:
% 70.76/10.46 | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | (685) all_10_22 = e2
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | REF_CLOSE: (346), (654), (685) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | | | | | #263.
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | (686) all_10_23 = e2 | all_10_24 = e2
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | BETA: splitting (686) gives:
% 70.76/10.46 | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | (687) all_10_23 = e2
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | COMBINE_EQS: (343), (687) imply:
% 70.76/10.46 | | | | | | | | | | | | | | (688) all_4_19 = e2
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | SIMP: (688) implies:
% 70.76/10.46 | | | | | | | | | | | | | | (689) all_4_19 = e2
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | REDUCE: (42), (689) imply:
% 70.76/10.46 | | | | | | | | | | | | | | (690) ~ (all_4_17 = e2)
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | REDUCE: (561), (689) imply:
% 70.76/10.46 | | | | | | | | | | | | | | (691) ~ (e4 = e2)
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | REDUCE: (599), (689) imply:
% 70.76/10.46 | | | | | | | | | | | | | | (692) op(e2, e1) = all_8_61
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 70.76/10.46 | | | | | | | | | | | | | | all_8_37, e1, e2, simplifying with (139), (669)
% 70.76/10.46 | | | | | | | | | | | | | | gives:
% 70.76/10.46 | | | | | | | | | | | | | | (693) all_8_37 = all_4_17
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_61,
% 70.76/10.46 | | | | | | | | | | | | | | all_8_37, e1, e2, simplifying with (669), (692)
% 70.76/10.46 | | | | | | | | | | | | | | gives:
% 70.76/10.46 | | | | | | | | | | | | | | (694) all_8_37 = all_8_61
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 70.76/10.46 | | | | | | | | | | | | | | all_8_38, e3, e2, simplifying with (141), (668)
% 70.76/10.46 | | | | | | | | | | | | | | gives:
% 70.76/10.46 | | | | | | | | | | | | | | (695) all_8_38 = all_4_7
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | COMBINE_EQS: (693), (694) imply:
% 70.76/10.46 | | | | | | | | | | | | | | (696) all_8_61 = all_4_17
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 70.76/10.46 | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | (697) all_6_9 = e2
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (697) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | (698) all_4_21 = e2
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | REDUCE: (656), (698) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | (699) $false
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | CLOSE: (699) is inconsistent.
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | (700) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 70.76/10.46 | | | | | | | | | | | | | | | all_6_9 = e0
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 70.76/10.46 | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | (701) all_6_21 = e2
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | REF_CLOSE: (490), (665), (701) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | | | | | | | | #262.
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | (702) ~ (all_6_21 = e2)
% 70.76/10.46 | | | | | | | | | | | | | | | | (703) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 70.76/10.46 | | | | | | | | | | | | | | | | all_6_21 = e0
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 70.76/10.46 | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | (704) all_6_11 = e2
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (684), (704) are inconsistent by sub-proof
% 70.76/10.46 | | | | | | | | | | | | | | | | | #261.
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | (705) ~ (all_6_11 = e2)
% 70.76/10.46 | | | | | | | | | | | | | | | | | (706) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 70.76/10.46 | | | | | | | | | | | | | | | | | all_6_11 = e0
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 70.76/10.46 | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | (707) all_6_22 = e2
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (707) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | (708) all_4_14 = e2
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | REDUCE: (654), (708) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | (709) $false
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | CLOSE: (709) is inconsistent.
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | (710) ~ (all_6_22 = e2)
% 70.76/10.46 | | | | | | | | | | | | | | | | | | (711) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | all_6_22 = e0
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 70.76/10.46 | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | (712) unit = e2
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | REDUCE: (3), (712) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | (713) op(e1, e2) = e1
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | e1, simplifying with (23), (713) gives:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | (714) e1 = e0
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | REDUCE: (15), (714) imply:
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | (715) $false
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.46 | | | | | | | | | | | | | | | | | | | CLOSE: (715) is inconsistent.
% 70.76/10.46 | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | (716) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | (717) all_6_1 = e2
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (717) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | #260.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | (718) ~ (all_6_1 = e2)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | (719) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | (720) all_6_3 = e2
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (720) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | #259.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | (721) ~ (all_6_3 = e2)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | (722) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | (723) all_6_5 = e2
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (519), (723) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | #258.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | (724) ~ (all_6_5 = e2)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | (725) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | (726) all_6_10 = e2
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (521), (726) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | #257.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | (727) ~ (all_6_10 = e2)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | (728) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | (729) all_6_20 = e2
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (729) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | (730) ~ (all_6_20 = e2)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | (731) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_10_16 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (732) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (733) all_4_20 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (733) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (734) ~ (all_4_5 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (733) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_4_10 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (733) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (736) ~ (all_4_21 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (736) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | (737) ~ (all_4_21 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_6_2 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (735), (738) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_10_16 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (740) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) e4 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (741) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (742) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (739) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_6_2 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (744) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_4_10 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (745) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_4_10 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (746) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) ~ (all_4_14 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (747) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) ~ (all_4_14 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (746) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) ~ (all_4_15 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (749) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) ~ (all_4_15 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (746) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) ~ (e3 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (746) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) ~ (e2 = e1)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_10_9 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (753) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_4_15 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (754) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (755) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_6_22 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (757) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_4_14 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (758) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_10_22 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (758) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) op(e0, e2) = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_10_2 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (761) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_4_1 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (762) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_4_1 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (763) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_4_2 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (764) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) ~ (all_4_2 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (763) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) ~ (all_4_3 = e4)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (763) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) op(e4, e3) = all_8_9
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_10_6 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (765), (768) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #254.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_10_20 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (770) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_4_4 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (771) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) op(e0, e4) = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_10_2 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (761), (773) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #253.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (743) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_10_17 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (775) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_4_21 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (776) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (777) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (778) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_10_18 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (779) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) e2 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (780) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (781) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_10_19 = e1 | all_10_24 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (774) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_10_3 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (783) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) e1 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (784) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (785) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) ~ (all_10_3 = e0)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (787) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_10_5 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (652), (788) are inconsistent by sub-proof
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #252.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_10_10 = e0 | all_10_17 = e0
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (782) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_10_19 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (790) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_4_23 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (791) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) op(e1, e1) = all_8_46
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_10_12 = e3
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (793) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_4_3 = e3
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (794) implies:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_4_3 = e3
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (795) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) ~ (e4 = e3)
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (795) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) op(e3, e1) = all_8_33
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_10_10 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (798) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_4_16 = e1
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (799) imply:
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) $false
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (800) is inconsistent.
% 70.76/10.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (789) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_10_10 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (802) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_4_16 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (803) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) op(e3, e1) = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_10_9 = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (805) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_4_15 = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (806) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) ~ (all_4_5 = e3)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (806) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) op(e3, e1) = all_8_6
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (806) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) op(e4, e1) = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_6_1 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (734), (810) are inconsistent by sub-proof
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_10_7 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (812) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) all_4_7 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (813) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) op(e4, e3) = all_8_25
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (813) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) op(e2, e3) = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_10_1 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (816) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_4_5 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (817) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) op(e0, e4) = all_8_1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (817) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e4, e3) = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) all_10_6 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (820) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_4_2 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (821) implies:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_4_2 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (822) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) ~ (all_4_17 = e0)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (823) implies:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) ~ (all_4_17 = e0)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (822) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) op(e0, e4) = all_8_21
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (822) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) op(e0, e2) = all_8_20
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (801) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_10_11 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (827) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_4_17 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (828) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) op(e1, e1) = all_8_30
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_20,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (760), (826) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_8_20 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e0, simplifying with (818), (825)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_8_1 = all_8_21
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_1,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (772), (818) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_8_1 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_30,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (22), (829) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) all_8_30 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_46,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_30, e1, e1, simplifying with (792), (829)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_8_30 = all_8_46
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_33,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, e1, e3, simplifying with (797), (808)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_8_6 = all_8_33
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_6,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (804), (808) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_8_6 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_25,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e4, simplifying with (767), (814)
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_8_9 = all_8_25
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (767), (819) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_8_9 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (831), (832) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_8_21 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (839) implies:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_8_21 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (835), (836) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_8_33 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (837), (838) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_8_25 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (842) implies:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_8_25 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (833), (834) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_8_46 = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) unit = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (809), (819), (845),
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) unit = e3 | unit = e1 | unit = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (846) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) unit = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (847) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) op(e1, e3) = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (847) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) op(e4, e1) = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (847) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) op(e3, e1) = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (847) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) op(e1, e1) = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e1,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (22), (851) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) e4 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (670), (848) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) e3 = e2
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (804), (850) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) e3 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e1,
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (809), (849) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) e4 = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (852), (855) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) e3 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (856) implies:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) e3 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (854) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) e2 = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (857) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) e2 = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (858), (859) are inconsistent by sub-proof
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) unit = e3 | unit = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (860) gives:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) unit = e3
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (861) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) op(e4, e3) = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (861) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) op(e2, e3) = e2
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (861) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) op(e1, e3) = e1
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (670), (815), (819), (862), (863), (864),
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #247.
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) unit = e0
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (865) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) op(e0, e4) = e4
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (865) imply:
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) op(e0, e2) = e2
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (760), (772), (866), (867),
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #246.
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) all_10_15 = e1 | all_10_23 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (515), (687), (868) are inconsistent
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #244.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) ~ (all_10_6 = e0)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (869) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) ~ (all_4_2 = e0)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (108), (375), (470), (515), (534),
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (728), (765), (801), (870) are inconsistent
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #238.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) ~ (all_10_1 = e0)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (871) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) ~ (all_4_5 = e0)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (629), (807), (811), (872) are inconsistent
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #234.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) ~ (all_10_7 = e4)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (873) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) ~ (all_4_7 = e4)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (469), (473), (537), (629), (631), (706),
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807), (811), (874) are inconsistent by sub-proof
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #230.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_10_10 = e3
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (802), (876) are inconsistent by sub-proof
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #229.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (375), (515), (548), (658), (687), (877) are
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #226.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_10_17 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (878) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) all_4_21 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (879) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) $false
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (880) is inconsistent.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (363), (515), (544), (658), (663),
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790), (881) are inconsistent by sub-proof #224.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_10_24 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (882) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) e1 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (883) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) $false
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (884) is inconsistent.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) all_10_21 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (886) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_4_9 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (887) implies:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) all_4_9 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (888) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) $false
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (889) is inconsistent.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (890) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_10_22 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (759), (891) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) e4 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (892) implies:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) e4 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (893) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) $false
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (894) is inconsistent.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_10_23 = e1 | all_10_24 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (895) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_10_23 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (687), (896) are inconsistent by sub-proof
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_10_24 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (897) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) e1 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (898) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) $false
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (899) is inconsistent.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e4
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (388), (391), (491), (558), (620),
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (641), (652), (700), (737), (900) are
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739), (901) are inconsistent by sub-proof #215.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_6_2 = e3 | all_6_2 = e0
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (902) are inconsistent by
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218.
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (903) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_10_17 = e4
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (904) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_4_21 = e4
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (905) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (906) ~ (all_4_1 = e4)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (905) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (907) ~ (all_4_20 = e4)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (905) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (908) op(e4, e3) = all_8_18
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18, e3, e4, simplifying with (151), (908)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_8_18 = all_4_5
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) all_10_12 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (910) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) all_4_3 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (911) implies:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_4_3 = e1
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (912) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) ~ (all_4_2 = e1)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (912) imply:
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) ~ (all_4_23 = e1)
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (914) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_4_23 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (912) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) ~ (e4 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (912) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) ~ (e2 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_10_6 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (913), (918) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #214.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_10_7 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (920) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_4_7 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (921) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (922) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_10_16 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (924) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_4_20 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (925) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) ~ (all_4_10 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (925) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) op(e1, e0) = all_8_8
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_10_16 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (924), (928) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) ~ (all_10_16 = e3)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (929) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) ~ (e3 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_6_2 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (932) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_4_10 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (933) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_4_10 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (934) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_10_4 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (934) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) ~ (all_4_5 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (934) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (all_4_14 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (937) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_4_14 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (934) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) ~ (all_4_15 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_10_8 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (940) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) e3 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (941) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (942) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_10_11 = e1 | all_10_18 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_6_22 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (944) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_4_14 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (945) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (946) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_6_22 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (948) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_4_14 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (949) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_10_22 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (949) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) op(e1, e0) = all_8_56
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (949) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) op(e0, e2) = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (943) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_10_11 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (953) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_4_17 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (954) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_4_17 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (955) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) ~ (all_4_15 = e1)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (955) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) op(e2, e1) = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (930) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) all_10_17 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (958) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) e4 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (959) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (960) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_10_18 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (681), (962) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_10_19 = e3 | all_10_24 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (963) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_10_19 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (964) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_4_23 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (965) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) ~ (e4 = e3)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (965) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) op(e1, e0) = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_56,
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8, e0, e1, simplifying with (927), (951)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_8_8 = all_8_56
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_8,
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (927), (967) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) all_8_8 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (969) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_8_56 = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_10_6 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (971) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) all_4_2 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (972) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_4_2 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (973) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) ~ (all_4_7 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (974) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) ~ (all_4_7 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_10_6 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (971), (976) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_6_11 = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (975), (978) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #233.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) ~ (all_6_11 = e4)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_10_0 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (981) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) e2 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (982) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (983) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_10_9 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (985) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_4_15 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (986) implies:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_4_15 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (987) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) op(e4, e1) = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_10_7 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (989) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_4_7 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (990) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) ~ (e1 = e0)
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (990) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) op(e0, e2) = all_8_24
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (990) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) op(e2, e3) = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_24,
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (952), (992) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_8_24 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) unit = e4
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (995) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) op(e4, e1) = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1,
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (988), (996) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) e1 = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (997) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (998) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) unit = e3 | unit = e1 | unit = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (999) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) unit = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1000) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) op(e1, e3) = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1000) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) op(e1, e0) = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1000) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e2, e1) = e2
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (670), (957), (967), (1001), (1002), (1003),
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) unit = e3 | unit = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1004) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) unit = e3
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1005) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) op(e2, e3) = e2
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1005) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) op(e1, e3) = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (670), (993), (1006), (1007),
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) unit = e0
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1008) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e0, e2) = e2
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (952), (1009) gives:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) e2 = e1
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1010) imply:
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) $false
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1011) is inconsistent.
% 70.76/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) ~ (all_10_7 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1012) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (all_4_7 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (980), (1013) are
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) ~ (all_10_9 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (1014) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_4_15 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_10_7 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1016) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_4_7 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1017) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) ~ (all_4_5 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1017) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) ~ (e1 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_10_1 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1020) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_4_5 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1018), (1021) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) $false
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1022) is inconsistent.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_10_4 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (935), (1024) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_10_9 = e0 | all_10_16 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (406), (924), (1015), (1025) are
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_10_7 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1026) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) ~ (all_4_7 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (980), (1027) are
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) ~ (all_10_6 = e4)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1028) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) ~ (all_4_2 = e4)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_10_0 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (1031) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1032) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_10_2 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (906), (1033) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_10_6 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (1030), (1035) are inconsistent by
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_10_12 = e4 | all_10_20 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1036) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_10_12 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (910), (1037) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) e4 = e1
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1038) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) $false
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1039) is inconsistent.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_10_20 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1040) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_4_4 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1041) implies:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_4_4 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_10_20 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (1040), (1043) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_10_21 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1045) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_4_9 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1046) implies:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_4_9 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1047) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) ~ (all_4_5 = e3)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_6_1 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (936), (1049) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #251.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_10_0 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (658), (1051) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) ~ (all_10_0 = e3)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1029) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_10_7 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1054) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_4_7 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1055) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e4, e3) = all_8_25
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1055) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) op(e2, e3) = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_10_1 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1058) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_4_5 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1048), (1059) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) ~ (e3 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (1059) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) ~ (e2 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1059) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) ~ (e1 = e0)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1059) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) op(e4, e3) = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (722) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_6_3 = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (1064) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_10_6 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1066) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_4_2 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1067) implies:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_4_2 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (1068) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) op(e0, e2) = all_8_20
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1065) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_6_3 = e1
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (956), (1070) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_6_3 = e3 | all_6_3 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_10_0 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (658), (1072) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_10_1 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1058), (1074) are inconsistent by
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #198.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) ~ (all_10_1 = e3)
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_10_4 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (935), (1077) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) all_10_9 = e3 | all_10_16 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) all_10_9 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1079) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_4_15 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1080) implies:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_4_15 = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1081) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) op(e4, e1) = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_20,
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (952), (1069) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_8_20 = e1
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1056), (1063) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_8_25 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) unit = e4
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1085) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) op(e4, e3) = e3
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1085) imply:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) op(e4, e1) = e1
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1082), (1087) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) e3 = e1
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1063), (1086) gives:
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) e3 = e0
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1088), (1089) are inconsistent by sub-proof
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #250.
% 70.76/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) unit = e3 | unit = e1 | unit = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1090) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) unit = e1
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1091) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) op(e1, e3) = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1091) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) op(e1, e0) = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1091) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) op(e2, e1) = e2
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (670), (957), (967), (1092), (1093), (1094),
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) unit = e3 | unit = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (9), (15), (17), (670), (952),
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057), (1063), (1095), (function-axioms) are
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) ~ (all_10_9 = e3)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (1096) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) ~ (all_4_15 = e3)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_6_3 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1097), (1098) are inconsistent by
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_6_3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1099) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_4_15 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1100) implies:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_4_15 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1101) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_10_9 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (544), (924), (1078), (1102) are
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #193.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) ~ (all_10_6 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1103) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) ~ (all_4_2 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_10_0 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (658), (1105) are inconsistent by sub-proof
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1106) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_10_1 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1058), (1107) are inconsistent by
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #198.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_10_1 = e3)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_10_0 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1110) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) e2 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1111) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) $false
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1112) is inconsistent.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1065) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_6_3 = e1
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (956), (1114) are inconsistent by sub-proof
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_6_3 = e3 | all_6_3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1053) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_10_2 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1116) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_4_1 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1117) implies:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_4_1 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1115) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_6_3 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1119) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) all_4_15 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1120) implies:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_4_15 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1121) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_10_9 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1113) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_10_2 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1116), (1123) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) e3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1124) implies:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) e3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1122), (1125) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_10_9 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (544), (924), (935), (1109), (1126)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #192.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_10_6 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (1104), (1128) are inconsistent by
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_10_12 = e0 | all_10_20 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (352), (616), (910), (1129) are inconsistent
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #190.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_6_3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (406), (477), (544), (924), (935),
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109), (1130) are inconsistent by sub-proof #189.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (534), (910), (1040), (1131)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) ~ (all_10_1 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (1132) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) ~ (all_4_5 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_10_0 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1134) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) e2 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1135) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) $false
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1136) is inconsistent.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) ~ (all_10_0 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1053) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_10_2 = e3
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_10_2 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1139), (1140) are inconsistent by
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #185.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1141) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_10_3 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1142) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) e1 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1143) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) $false
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1145) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_10_5 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (652), (1146) are inconsistent by sub-proof
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #252.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_10_10 = e0 | all_10_17 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_10_1 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1148) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_4_5 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1133), (1149) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) $false
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1150) is inconsistent.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_10_4 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (935), (1152) are inconsistent by sub-proof
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) ~ (all_10_4 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_10_9 = e0 | all_10_16 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1147) gives:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_10_10 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1155) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_4_16 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1156) implies:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_4_16 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1157) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) ~ (all_4_15 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (1157) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (e1 = e0)
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (406), (924), (1154), (1158) are
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_10_17 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (1160) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) e4 = e0
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1161) imply:
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) $false
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1162) is inconsistent.
% 70.76/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (534), (910), (1040), (1163)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) ~ (all_10_7 = e4)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1164) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) ~ (all_4_7 = e4)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (469), (473), (537), (629), (631), (706),
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048), (1050), (1165) are inconsistent by
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #230.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1166) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_10_22 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (950), (1167) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) e3 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1168) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1169) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_10_23 = e3 | all_10_24 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_10_23 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1171) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) e3 = e2
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (1172) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1173) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_10_24 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1174) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) e3 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1175) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1176) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_10_24 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1177) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) e3 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1178) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1179) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_10_18 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1180) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) e2 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1181) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1182) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_6_22 = e3 | all_6_22 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (546), (552), (1183) are inconsistent by
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (926), (1184) are
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1185) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_10_17 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (1186) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) e4 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1187) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1188) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_10_18 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1190) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) e2 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1191) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1192) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_10_19 = e1 | all_10_24 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (355), (612), (915), (1193) are inconsistent
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #184.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_10_13 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (663), (1195) are inconsistent by sub-proof
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_10_14 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1197) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) e1 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1198) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1199) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_10_15 = e1 | all_10_19 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1200) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_10_15 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1201) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) e4 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1202) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1203) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_10_19 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (1204) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_4_23 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_4_23 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1206) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) ~ (all_4_3 = e1)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1206) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) ~ (e4 = e1)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (667), (1206) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) ~ (e2 = e1)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_10_12 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1210) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_4_3 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1211) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_4_3 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1212) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_4_4 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1213) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) ~ (all_4_4 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (1212) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) ~ (e4 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1212) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e1, e4) = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_10_20 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1217) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_4_4 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1218) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_4_4 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1214), (1219) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1220) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (725) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_6_5 = e4
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (906), (1222) are inconsistent by sub-proof
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #182.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) ~ (all_6_5 = e4)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_10_16 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1225) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_4_20 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1226) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) ~ (all_4_5 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (1226) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) ~ (all_4_15 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1224) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_6_5 = e1
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (628), (1229) are inconsistent by sub-proof
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #181.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) ~ (all_6_5 = e1)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_6_5 = e3 | all_6_5 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_10_9 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1232) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_4_15 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1228), (1233) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) $false
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1234) is inconsistent.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_10_10 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1236) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_4_16 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1237) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_4_16 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1238) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) ~ (all_4_1 = e3)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1231) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_6_5 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (1239), (1240) are inconsistent by
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180.
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_6_5 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (1241) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_4_1 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1242) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_4_1 = e0
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1243) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) ~ (all_4_4 = e0)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1243) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) ~ (e2 = e0)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (1243) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) ~ (e1 = e0)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1243) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) op(e0, e4) = all_8_10
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1221) gives:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_10_21 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1248) imply:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_4_9 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1249) implies:
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_4_9 = e3
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10, e4, e0, simplifying with (132), (1247)
% 70.76/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_8_10 = all_4_4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_10_1 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1252) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_4_5 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) ~ (all_4_7 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_4_7 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) ~ (all_4_10 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) ~ (all_4_15 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1257) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ~ (all_4_15 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1227), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (e3 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) op(e0, e4) = all_8_1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1253) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) op(e4, e3) = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_10_9 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (1258), (1262) are inconsistent by
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #206.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) ~ (all_10_9 = e0)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1264) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_10_10 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1236), (1265) are inconsistent by
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #229.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_6_11 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1267) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_4_7 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1268) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_4_7 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1269) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_10_7 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1269) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) op(e4, e3) = all_8_25
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1269) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) op(e2, e3) = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (722) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_6_3 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (1273) are inconsistent by sub-proof
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_6_3 = e4)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_6_3 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1276) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_4_15 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_4_15 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1278) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_4_10 = e1)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1228), (1278) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (e3 = e1)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1278) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) op(e1, e4) = all_8_5
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1278) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) op(e4, e1) = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_10_6 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1283) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_4_2 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_4_2 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1285) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) op(e1, e4) = all_8_21
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1285) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op(e2, e4) = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_6_2 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (1288) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_4_10 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1289) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_4_10 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1290) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_4_14 = e4)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1291) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_4_14 = e4)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1290) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) op(e4, e4) = all_8_3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_10_20 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1294) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_4_4 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1295) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_4_4 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (1296) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) op(e4, e4) = all_8_49
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1296) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op(e0, e4) = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_10_11 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1299) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_4_17 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1300) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_4_17 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (1301) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) op(e0, e2) = all_8_29
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1301) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) op(e2, e1) = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_6_22 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1292), (1304) are inconsistent by
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #179.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_6_22 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1306) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_4_14 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1307) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_4_14 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (1308) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) op(e0, e2) = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_29,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1302), (1309) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) all_8_29 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_1,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (1260), (1298) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_8_1 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1216), (1281) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_8_5 = e3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e1, simplifying with (1281), (1286)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_8_5 = all_8_21
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1261), (1271) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_8_25 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (1293) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_8_3 = e2
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e4, simplifying with (1293), (1297)
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_8_3 = all_8_49
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (1316) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_8_49 = e2
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1312), (1313) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_8_21 = e3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) unit = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1319) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) op(e4, e4) = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1319) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) op(e2, e4) = e2
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1319) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) op(e0, e4) = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (25), (1287), (1298), (1320), (1321),
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (function-axioms) are inconsistent by
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) unit = e3 | unit = e1 | unit = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1323) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) unit = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1324) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) op(e1, e4) = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1324) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) op(e1, e3) = e3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1324) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) op(e4, e1) = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1324) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) op(e2, e1) = e2
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (670), (1326) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) e3 = e2
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1216), (1325) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) e4 = e3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1303), (1328) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) e2 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e1,
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1282), (1327) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) e4 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1332) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) e3 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1333) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) e2 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1331), (1334) are inconsistent by sub-proof
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) unit = e3 | unit = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (9), (15), (17), (670), (1261),
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272), (1309), (1335), (function-axioms) are
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_6_22 = e3 | all_6_22 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (546), (552), (1336) are inconsistent by
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_10_15 = e0 | all_10_23 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (515), (554), (687), (1337) are inconsistent
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #176.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1338) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_10_21 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1339) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) e4 = e3
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1340) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) $false
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1341) is inconsistent.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1342) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_10_22 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (1343) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_4_14 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1344) implies:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_4_14 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1292), (1345) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) $false
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1346) is inconsistent.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_10_23 = e4 | all_10_24 = e4
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (554), (612), (687), (1347) are inconsistent
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #175.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (1279), (1348) are
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1349) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_10_7 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1270), (1350) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) e4 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1351) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) $false
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_10_8 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1354) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) e3 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1355) imply:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) $false
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1356) is inconsistent.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_10_11 = e1 | all_10_18 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_10_11 = e1
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_10_11 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1358), (1359) are inconsistent by sub-proof
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #174.
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_10_15 = e0 | all_10_23 = e0
% 70.76/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (515), (554), (687), (1360) are inconsistent
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #176.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_10_18 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (1361) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) e2 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1362) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) $false
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1363) is inconsistent.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_6_3 = e3 | all_6_3 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1228), (1258), (1364) are inconsistent by
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (1255), (1365) are
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1366) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_10_3 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1367) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) e1 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1368) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) $false
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1369) is inconsistent.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_10_7 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1371) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_4_7 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1372) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (all_4_2 = e0)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1372) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) ~ (all_4_17 = e0)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1374) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) ~ (all_4_17 = e0)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1372) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) ~ (e3 = e0)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (1372) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) op(e0, e2) = all_8_24
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1372) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) op(e2, e3) = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_10_6 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1379) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_4_2 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_4_2 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1381) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) ~ (all_4_4 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1382) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) ~ (all_4_4 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_10_9 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1384) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_4_15 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1385) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_4_15 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1386) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) ~ (all_4_5 = e0)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1386) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) op(e0, e4) = all_8_5
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1386) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) op(e4, e1) = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_10_1 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1390) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_4_5 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1391) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) ~ (all_4_10 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1392) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_4_10 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_10_9 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1384), (1394) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) e1 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1395) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) $false
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1396) is inconsistent.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_6_2 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1393), (1398) are inconsistent by
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_10_20 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (1383), (1400) are inconsistent by
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #171.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_10_10 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1236), (1402) are inconsistent by sub-proof
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #170.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_10_21 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1404) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) e4 = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1405) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) $false
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1406) is inconsistent.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_10_22 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (1408) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_4_14 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_4_14 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (1410) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) op(e0, e2) = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_10_20 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1412) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_4_4 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1413) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_4_4 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (1414) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) op(e1, e4) = all_8_49
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1414) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op(e0, e4) = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_10_4 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1417) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_4_10 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1418) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_4_10 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1419) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) op(e1, e4) = all_8_3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1403) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_10_11 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1421) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_4_17 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_4_17 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1423) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) op(e2, e1) = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_24,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1377), (1411) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_8_24 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_5,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (1388), (1416) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_8_5 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_3,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1216), (1420) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_8_3 = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e1, simplifying with (1415), (1420)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_8_3 = all_8_49
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1427), (1428) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_8_49 = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) unit = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (1389), (1430), (function-axioms) are
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) unit = e3 | unit = e1 | unit = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) unit = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1432) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) op(e1, e4) = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1432) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(e1, e3) = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1432) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) op(e4, e1) = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1432) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) op(e2, e1) = e2
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (670), (1434) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) e3 = e2
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1216), (1433) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) e4 = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1424), (1436) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) e2 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e1,
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1389), (1435) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) e4 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1438), (1440) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) e3 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1441) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) e3 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1437), (1442) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) e2 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1439), (1443) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) e1 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1444) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) $false
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1445) is inconsistent.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) unit = e3 | unit = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1446) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) unit = e3
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (15), (670), (1378), (1447),
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) unit = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1448) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) op(e0, e4) = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1448) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) op(e0, e2) = e2
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1411), (1416), (1449), (1450),
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #246.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_10_15 = e1 | all_10_23 = e1
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (515), (687), (1451) are inconsistent
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #244.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_10_4 = e1)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (1452) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) ~ (all_4_10 = e1)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (1399), (1453) are
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) ~ (all_10_20 = e1)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (1454) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) ~ (all_4_4 = e1)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_6_20 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1456) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_4_4 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1457) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_4_4 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1458) imply:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) ~ (all_4_14 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1459) implies:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (all_4_14 = e4)
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711), (1399), (1460) are inconsistent by
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (1214), (1455), (1461) are
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_10_23 = e4 | all_10_24 = e4
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (554), (612), (687), (1462) are inconsistent
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #175.
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1463) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_10_3 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (627), (1464) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1465) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_10_7 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1371), (1466) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) e4 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1467) implies:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) e4 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1468) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1469) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_10_13 = e4 | all_10_21 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1470) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_10_13 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (663), (1471) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) e4 = e2
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1472) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1473) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_10_21 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1474) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) e4 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1475) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1476) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (375), (515), (544), (554), (687), (1236),
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375), (1477) are inconsistent by sub-proof #160.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) ~ (all_10_6 = e4)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1478) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) ~ (all_4_2 = e4)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_10_9 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_10_9 = e1
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1480), (1481) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) e1 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1482) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1484) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_10_10 = e1
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1236), (1485) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #170.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (108), (375), (470), (515), (534),
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687), (728), (1373), (1479), (1486) are
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #238.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (375), (515), (544), (554), (687), (1236),
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375), (1487) are inconsistent by sub-proof #160.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_10_13 = e0 | all_10_21 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1488) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_10_13 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (663), (1489) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_10_21 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1490) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) e3 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1491) implies:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) e3 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1492) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1493) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) ~ (all_10_21 = e3)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (1494) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) ~ (all_4_9 = e3)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_6_21 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1496) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_4_9 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1497) implies:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_4_9 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1498) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) ~ (all_4_5 = e4)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1498) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) ~ (all_4_7 = e4)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (469), (473), (537), (629), (631), (706),
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719), (1227), (1499), (1500) are inconsistent by
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1501) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_6_21 = e1
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (635), (1502) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #157.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_6_21 = e3 | all_6_21 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (1495), (1503) are inconsistent by
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (375), (515), (548), (658), (687), (1504)
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #226.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1505) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_10_17 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (1506) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) e4 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1507) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1508) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1509) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_10_18 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (658), (681), (1510) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_10_19 = e3 | all_10_24 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1511) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_10_19 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1204), (1512) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #225.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_10_24 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1513) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) e3 = e0
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1514) imply:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) $false
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1515) is inconsistent.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (363), (515), (544), (658), (663),
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204), (1516) are inconsistent by sub-proof #224.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1517) gives:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_10_18 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (681), (1518) are inconsistent by sub-proof
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | #154.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_10_19 = e4 | all_10_24 = e4
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (355), (554), (563), (612), (1519) are
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | | |
% 70.76/10.56 | | | | | | | | | | | | | | | | End of split
% 70.76/10.56 | | | | | | | | | | | | | | | |
% 71.37/10.58 | | | | | | | | | | | | | | | End of split
% 71.37/10.58 | | | | | | | | | | | | | | |
% 71.37/10.58 | | | | | | | | | | | | | | End of split
% 71.37/10.58 | | | | | | | | | | | | | |
% 71.37/10.58 | | | | | | | | | | | | | Case 2:
% 71.37/10.58 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | (1520) all_10_24 = e2
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | COMBINE_EQS: (612), (1520) imply:
% 71.37/10.59 | | | | | | | | | | | | | | (1521) e2 = e0
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | REDUCE: (16), (1521) imply:
% 71.37/10.59 | | | | | | | | | | | | | | (1522) $false
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | CLOSE: (1522) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | (1523) all_10_19 = e2 | all_10_24 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | BETA: splitting (1523) gives:
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | (1524) all_10_19 = e2
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REF_CLOSE: (355), (667), (1524) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | #152.
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | (1525) all_10_24 = e2
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | COMBINE_EQS: (612), (1525) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1526) e2 = e0
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (16), (1526) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1527) $false
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | CLOSE: (1527) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | End of split
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | End of split
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | End of split
% 71.37/10.59 | | | | | | |
% 71.37/10.59 | | | | | | Case 2:
% 71.37/10.59 | | | | | | |
% 71.37/10.59 | | | | | | | (1528) ~ (all_6_16 = e2)
% 71.37/10.59 | | | | | | | (1529) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 | all_6_16
% 71.37/10.59 | | | | | | | = e0
% 71.37/10.59 | | | | | | |
% 71.37/10.59 | | | | | | | REDUCE: (479), (1528) imply:
% 71.37/10.59 | | | | | | | (1530) ~ (all_4_8 = e2)
% 71.37/10.59 | | | | | | |
% 71.37/10.59 | | | | | | | BETA: splitting (307) gives:
% 71.37/10.59 | | | | | | |
% 71.37/10.59 | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | | (1531) all_10_12 = e2
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | | REF_CLOSE: (369), (523), (1531) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | #151.
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | | (1532) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 71.37/10.59 | | | | | | | | all_10_19 = e2
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | | BETA: splitting (1532) gives:
% 71.37/10.59 | | | | | | | |
% 71.37/10.59 | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | | (1533) all_10_13 = e2
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | | REF_CLOSE: (366), (1530), (1533) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | #150.
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | | (1534) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | | BETA: splitting (1529) gives:
% 71.37/10.59 | | | | | | | | |
% 71.37/10.59 | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | (1535) all_6_16 = e4
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | COMBINE_EQS: (479), (1535) imply:
% 71.37/10.59 | | | | | | | | | | (1536) all_4_8 = e4
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | REDUCE: (539), (1536) imply:
% 71.37/10.59 | | | | | | | | | | (1537) $false
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | CLOSE: (1537) is inconsistent.
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | (1538) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | BETA: splitting (1534) gives:
% 71.37/10.59 | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | (1539) all_10_14 = e2
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | COMBINE_EQS: (363), (1539) imply:
% 71.37/10.59 | | | | | | | | | | | (1540) e2 = e0
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | REDUCE: (16), (1540) imply:
% 71.37/10.59 | | | | | | | | | | | (1541) $false
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | CLOSE: (1541) is inconsistent.
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | (1542) all_10_15 = e2 | all_10_19 = e2
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | BETA: splitting (1542) gives:
% 71.37/10.59 | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | (1543) all_10_15 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | COMBINE_EQS: (515), (1543) imply:
% 71.37/10.59 | | | | | | | | | | | | (1544) e4 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | REDUCE: (20), (1544) imply:
% 71.37/10.59 | | | | | | | | | | | | (1545) $false
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | CLOSE: (1545) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | (1546) all_10_19 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | COMBINE_EQS: (355), (1546) imply:
% 71.37/10.59 | | | | | | | | | | | | (1547) all_4_23 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | SIMP: (1547) implies:
% 71.37/10.59 | | | | | | | | | | | | (1548) all_4_23 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | COMBINE_EQS: (456), (1548) imply:
% 71.37/10.59 | | | | | | | | | | | | (1549) all_8_63 = e2
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | REDUCE: (30), (1548) imply:
% 71.37/10.59 | | | | | | | | | | | | (1550) ~ (all_4_22 = e2)
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | REDUCE: (602), (1548) imply:
% 71.37/10.59 | | | | | | | | | | | | (1551) op(e2, e0) = all_8_47
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | BETA: splitting (306) gives:
% 71.37/10.59 | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | (1552) all_10_12 = e1
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | COMBINE_EQS: (369), (1552) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1553) all_4_3 = e1
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | SIMP: (1553) implies:
% 71.37/10.59 | | | | | | | | | | | | | (1554) all_4_3 = e1
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | COMBINE_EQS: (442), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1555) all_8_35 = e1
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (112), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1556) ~ (all_4_2 = e1)
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (106), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1557) ~ (all_4_4 = e1)
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | SIMP: (1557) implies:
% 71.37/10.59 | | | | | | | | | | | | | (1558) ~ (all_4_4 = e1)
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (523), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1559) ~ (e2 = e1)
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (576), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1560) op(e1, e4) = all_8_34
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | REDUCE: (137), (1554) imply:
% 71.37/10.59 | | | | | | | | | | | | | (1561) op(e1, e4) = e1
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | BETA: splitting (308) gives:
% 71.37/10.59 | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | (1562) all_10_12 = e3
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | COMBINE_EQS: (1552), (1562) imply:
% 71.37/10.59 | | | | | | | | | | | | | | (1563) e3 = e1
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | REDUCE: (18), (1563) imply:
% 71.37/10.59 | | | | | | | | | | | | | | (1564) $false
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | CLOSE: (1564) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | (1565) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 71.37/10.59 | | | | | | | | | | | | | | all_10_19 = e3
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 71.37/10.59 | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | (1566) all_10_13 = e3
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1566) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1567) all_4_8 = e3
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | SIMP: (1567) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | (1568) all_4_8 = e3
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1568) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1569) all_8_39 = e3
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | REDUCE: (95), (1568) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1570) ~ (all_4_5 = e3)
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | REDUCE: (79), (1568) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1571) ~ (all_4_9 = e3)
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | SIMP: (1571) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | (1572) ~ (all_4_9 = e3)
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | REDUCE: (580), (1568) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1573) op(e3, e3) = all_8_38
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | REDUCE: (581), (1568) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | (1574) op(e3, e1) = all_8_37
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_34,
% 71.37/10.59 | | | | | | | | | | | | | | | e4, e1, simplifying with (1560), (1561) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | (1575) all_8_34 = e1
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 71.37/10.59 | | | | | | | | | | | | | | | all_8_47, e0, e2, simplifying with (138), (1551)
% 71.37/10.59 | | | | | | | | | | | | | | | gives:
% 71.37/10.59 | | | | | | | | | | | | | | | (1576) all_8_47 = all_4_22
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 71.37/10.59 | | | | | | | | | | | | | | | all_8_37, e1, e3, simplifying with (144), (1574)
% 71.37/10.59 | | | | | | | | | | | | | | | gives:
% 71.37/10.59 | | | | | | | | | | | | | | | (1577) all_8_37 = all_4_16
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_38,
% 71.37/10.59 | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (1573) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | (1578) all_8_38 = e1
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 71.37/10.59 | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | (1579) all_6_9 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | REF_CLOSE: (491), (656), (1579) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | | | | #149.
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | (1580) ~ (all_6_9 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | (1581) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | all_6_9 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1582) all_6_22 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1582) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1583) all_4_14 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | SIMP: (1583) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1584) all_4_14 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | REDUCE: (654), (1584) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1585) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | CLOSE: (1585) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1586) ~ (all_6_22 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | (1587) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | all_6_22 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | (1588) all_6_1 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (1588) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | | | | | | #260.
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | (1589) ~ (all_6_1 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | (1590) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | (1591) all_6_10 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (1591) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | (1592) all_4_2 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | REDUCE: (521), (1592) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | (1593) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | CLOSE: (1593) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | (1594) ~ (all_6_10 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | (1595) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | (1596) all_6_14 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (1550), (1596) are inconsistent by
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | (1597) ~ (all_6_14 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | (1598) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | (1599) all_6_20 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (1599) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | #256.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | (1600) ~ (all_6_20 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | (1601) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | (1602) all_6_21 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1602) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | (1603) all_4_9 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1603) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | (1604) ~ (all_4_7 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (1603) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | (1605) op(e2, e3) = all_8_53
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1603) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | (1606) op(e2, e0) = all_8_52
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1607) all_10_6 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (521), (1607) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | #147.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1608) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_10_7 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1609) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_4_7 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1604), (1610) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1611) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1611) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1612) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_10_8 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1613) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1614) e3 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (1614) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1615) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1615) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_10_11 = e2 | all_10_18 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1616) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_10_11 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1617) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_4_17 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1618) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_4_17 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1619) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) ~ (all_4_16 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (1619) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) ~ (all_4_19 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1621) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_4_19 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_10_6 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (1556), (1623) are inconsistent by
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_10_7 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1625) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_4_7 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1626) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1627) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_10_8 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1629) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) e3 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1630) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1631) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_10_11 = e1 | all_10_18 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1632) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_10_11 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1617), (1633) are inconsistent by sub-proof
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_10_18 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1634) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_4_22 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1635) implies:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_4_22 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1636) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) ~ (all_4_20 = e1)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1636) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) ~ (e3 = e1)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1636) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) op(e1, e2) = all_8_31
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1636) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) op(e2, e0) = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_31,
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (1639) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_8_31 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_52,
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (1606), (1640) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_8_52 = e1
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53, e3, e2, simplifying with (141), (1605)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_8_53 = all_4_7
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_6_23 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1644) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_4_19 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1645) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_6_11 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (1604), (1648) are inconsistent by
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #261.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) ~ (all_6_11 = e2)
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_6_4 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1651) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_4_20 = e2
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (1652) imply:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) $false
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1653) is inconsistent.
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 71.37/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) unit = e2
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (1655), (function-axioms) are
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_6_3 = e2
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (1657) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_10_0 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (658), (1659) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_10_1 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1661) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_4_5 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1662) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_4_7 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1663) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_4_7 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1662) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_4_10 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1662) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) ~ (all_4_20 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1662) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) op(e0, e4) = all_8_1
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1662) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) op(e4, e3) = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_6_11 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1669) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_4_7 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1670) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) ~ (all_4_2 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (1670) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) op(e4, e3) = all_8_25
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1595) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_6_10 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (1673) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_4_2 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1671), (1674) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) $false
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1675) is inconsistent.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_10_6 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1677) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_4_2 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_4_2 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_4_1 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_4_4 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (e3 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) ~ (e2 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1556), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) ~ (e1 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1679) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) op(e0, e4) = all_8_21
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_10_2 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (1680), (1686) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1687) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_10_3 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (1688) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) e1 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1689) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) $false
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_10_5 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (652), (1692) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #252.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_10_10 = e0 | all_10_17 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_10_10 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1694) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_4_16 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1695) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_4_16 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1696) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_4_15 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1696) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_4_21 = e0)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1696) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) op(e3, e1) = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e0, simplifying with (132), (1667)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_8_1 = all_4_4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e0, simplifying with (1667), (1685)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_8_1 = all_8_21
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1668), (1672) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_8_25 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1700), (1701) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_8_21 = all_4_4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_10_20 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1704) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_4_4 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1705) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_4_4 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1706) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) ~ (all_4_14 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1707) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) ~ (all_4_14 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (1706) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e4, e4) = all_8_49
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1706) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) op(e0, e4) = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_10_4 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1711) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_4_10 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1712) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_4_10 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1713) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) ~ (all_4_20 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1714) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) ~ (all_4_20 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1713) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) op(e4, e4) = all_8_3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1587) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_6_22 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1708), (1717) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #179.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_10_16 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1715), (1719) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_10_16 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_10_17 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1722) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_4_21 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1723) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) op(e4, e3) = all_8_18
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_10_16 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1725) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_4_20 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_4_20 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1715), (1727) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (e4 = e3)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (1727) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) op(e3, e4) = all_8_7
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_10_2 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1730) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_4_1 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1731) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_4_1 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1732) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) op(e3, e4) = all_8_10
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1732) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op(e3, e3) = all_8_9
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1732) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) op(e3, e4) = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_6_22 = e1
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1736) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_4_14 = e1
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1737) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_4_14 = e1
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (1738) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) op(e1, e2) = all_8_57
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_57,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (1739) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_8_57 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_9,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (1734) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_8_9 = e1
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e3, simplifying with (1729), (1733)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_8_7 = all_8_10
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (1729), (1735) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_8_7 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_18,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1668), (1724) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_8_18 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (1716) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_8_3 = e2
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e4, simplifying with (1709), (1716)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_8_3 = all_8_49
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1745), (1746) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_8_49 = e2
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1742), (1743) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_8_10 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1748) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_8_10 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1656) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) unit = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1750) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) op(e4, e4) = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1750) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) op(e0, e4) = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (1710), (1751), (1752),
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) unit = e3 | unit = e1 | unit = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (11), (15), (16), (17), (23),
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643), (1640), (1668), (1735), (1753),
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_6_22 = e3 | all_6_22 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (546), (552), (1754) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #216.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1755) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_10_6 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1677), (1756) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) e3 = e0
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1757) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) $false
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1758) is inconsistent.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_10_12 = e3 | all_10_20 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (1552), (1704), (1759) are
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_10_16 = e3)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (1760) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) ~ (all_4_20 = e3)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (619), (1637), (1654), (1715), (1761) are
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) ~ (all_10_17 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (1762) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) ~ (all_4_21 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (491), (619), (620), (641), (1581),
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637), (1654), (1715), (1763) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) ~ (all_10_4 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (1764) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_4_10 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647), (1587), (1708), (1765) are inconsistent by
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) ~ (all_10_20 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (1766) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) ~ (all_4_4 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_10_0 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (1768) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1769) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_10_2 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1770) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_4_1 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1771) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_4_1 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1772) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) ~ (all_4_21 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) ~ (all_4_21 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1772) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) op(e4, e3) = all_8_9
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_10_16 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1776) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_4_20 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_4_20 = e4
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1778) imply:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) ~ (all_4_10 = e4)
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_10_2 = e3
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (1770), (1780) are inconsistent by sub-proof
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130.
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_6_2 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1779), (1782) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1783) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_6_2 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (1784) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_4_10 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1785) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_4_10 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1786) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_4_15 = e1)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1787) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (all_4_15 = e1)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1786) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) op(e1, e4) = all_8_3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1781) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_10_6 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1677), (1790) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) e3 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1791) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) $false
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1792) is inconsistent.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_10_12 = e3 | all_10_20 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_6_9 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (1774), (1794) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_6_9 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_6_9 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (641), (1797) are inconsistent by sub-proof
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_6_9 = e1)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_6_9 = e3 | all_6_9 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1799) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_6_9 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1800) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_4_21 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1801) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_4_21 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1774), (1802) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (e4 = e3)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1802) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) op(e3, e3) = all_8_18
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (1802) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) op(e3, e0) = all_8_19
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1802) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) op(e3, e0) = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_6_20 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1807) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_4_4 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1808) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_4_4 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1809) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_10_20 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (1552), (1793), (1810) are
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #187.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1658) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_6_3 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (1812) are inconsistent by sub-proof
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1813) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_6_3 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1788), (1814) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_6_3 = e3 | all_6_3 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1815) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_6_3 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1816) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_4_15 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1817) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_4_15 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1818) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) op(e3, e1) = all_8_6
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1818) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) op(e4, e1) = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) all_10_20 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1821) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_4_4 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1822) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_4_4 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (1823) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) op(e3, e0) = all_8_48
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_3,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1561), (1789) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_8_3 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_48,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19, e0, e3, simplifying with (1805), (1824)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_8_19 = all_8_48
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_19,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1805), (1806) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_8_19 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_6,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1699), (1819) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_8_6 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_18,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (1804) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_8_18 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1668), (1775) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_8_9 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1826), (1827) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_8_48 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1656) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) unit = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (1668), (1820), (1832),
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) unit = e3 | unit = e1 | unit = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) unit = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1834) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) op(e1, e4) = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1834) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) op(e4, e1) = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1834) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) op(e3, e1) = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1561), (1835) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) e4 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1699), (1837) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) e3 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e1,
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1820), (1836) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) e4 = e3
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1838), (1840) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) e3 = e1
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1839), (1841) are inconsistent by sub-proof
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #250.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) unit = e3 | unit = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (15), (17), (643), (1640), (1806),
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842), (function-axioms) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #129.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_10_20 = e3)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (1843) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_4_4 = e3)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (1558), (1811), (1844) are
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #128.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_6_3 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1697), (1845) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_6_9 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (620), (1846) are inconsistent by sub-proof
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_6_2 = e3 | all_6_2 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (1847) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_10_16 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (1848) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_4_20 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (491), (619), (620), (641), (1581),
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637), (1654), (1774), (1849) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (554), (1552), (1677), (1767), (1850)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #126.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_10_17 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1851) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_4_21 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1852) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) $false
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1853) is inconsistent.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) ~ (all_10_6 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1854) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) ~ (all_4_2 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (1556), (1676), (1855) are
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (1664), (1856) are
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) ~ (all_10_1 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (1857) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (all_4_5 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_6_1 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (1859) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_4_5 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1860) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_4_5 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1861) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) ~ (all_4_10 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1862) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) ~ (all_4_10 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1861) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) ~ (all_4_15 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1861) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) ~ (all_4_20 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1865) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_4_20 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_10_16 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1867) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_4_20 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1866), (1868) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) $false
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1869) is inconsistent.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_10_16 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1871) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_10_17 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1872) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_4_21 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1873) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) ~ (all_4_1 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_10_6 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1875) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_4_2 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_4_2 = e4
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1877) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_4_7 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1878) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) ~ (all_4_7 = e4)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_10_0 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1880) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) e2 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1881) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) $false
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1882) is inconsistent.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_10_2 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1884) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_4_1 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1885) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_4_1 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1886) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) ~ (all_4_16 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1887) implies:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) ~ (all_4_16 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1886) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) ~ (e2 = e0)
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_10_9 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1890) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_4_15 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1891) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) op(e4, e1) = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_10_6 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (1875), (1893) are inconsistent by
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_10_7 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1895) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_4_7 = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1896) imply:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) op(e2, e3) = e0
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (647) gives:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_6_2 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1863), (1898) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (16), (23), (471), (529), (540),
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541), (571), (1640), (1656), (1892), (1897),
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899), (function-axioms) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_10_7 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (1900) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_4_7 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (1650), (1879), (1901) are
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #123.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1902) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_10_10 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (391), (1888), (1903) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #122.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_10_2 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1884), (1905) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) e3 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1906) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_10_6 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1875), (1909) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) e4 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1910) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) e4 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1911) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1912) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_10_12 = e3 | all_10_20 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1904) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_10_11 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1617), (1914) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_10_15 = e0 | all_10_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1913) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_10_12 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1552), (1916) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) e3 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1917) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1918) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_10_20 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1919) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_4_4 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1920) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) ~ (all_4_19 = e3)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) ~ (all_4_19 = e3)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_6_23 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (561), (1923) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #120.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_6_23 = e3 | all_6_23 = e1 | all_6_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1924) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_6_23 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1925) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_4_19 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1926) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_4_19 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1927) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_10_23 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1915) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_10_15 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1929) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) e4 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1930) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1931) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_10_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1928), (1932) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) e1 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1933) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) e1 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1934) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1935) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_6_23 = e3 | all_6_23 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (618), (1922), (1936) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (352), (554), (616), (1552), (1875), (1937)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #117.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_10_6 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1938) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) ~ (all_4_2 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_10_0 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (1940) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1941) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_10_2 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (1874), (1942) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #203.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1943) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_10_6 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (1939), (1944) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_10_12 = e4 | all_10_20 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1945) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_10_12 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1552), (1946) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) e4 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1947) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1948) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_10_20 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (1949) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_4_4 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1950) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_4_4 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1951) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) ~ (all_4_14 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1952) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) ~ (all_4_14 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647), (1587), (1863), (1953) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) ~ (all_10_17 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (1954) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) ~ (all_4_21 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (491), (619), (620), (641), (1581),
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637), (1654), (1866), (1955) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (629), (1570), (1858), (1956) are
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_10_18 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (1550), (1957) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | (1958) ~ (all_6_21 = e2)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | (1959) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1958) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | (1960) ~ (all_4_9 = e2)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | (1961) all_10_20 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (525), (1961) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | #265.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | (1962) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_6_21 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1963) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_4_9 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | (1965) ~ (all_4_5 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_4_7 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_6_11 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1967) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_4_7 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (1968) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_8_26 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1968) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_10_7 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_10_1 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1971) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_4_5 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_8_12 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) ~ (all_4_9 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_4_10 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_4_20 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) ~ (e2 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) ~ (e1 = e0)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1972) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) op(e4, e3) = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_10_21 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (1960), (1980) are inconsistent by
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #264.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1963) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_4_9 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_8_54 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) ~ (all_4_4 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) ~ (all_4_14 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (all_4_14 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (1964) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) op(e4, e3) = all_8_53
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_6_20 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1988) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_4_4 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1984), (1989) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1990) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_10_4 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1992) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_4_10 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1993) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_4_10 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1994) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_8_23 = e4
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1994) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) ~ (all_4_15 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1994) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) ~ (all_4_20 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1997) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) ~ (all_4_20 = e4)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_10_4 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1992), (1999) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1981) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_10_22 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (346), (654), (2001) are inconsistent by sub-proof
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_10_23 = e2 | all_10_24 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_10_23 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (2003) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_4_19 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2004) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_4_19 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2005) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_8_62 = e2
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2005) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) ~ (all_4_17 = e2)
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_10_20 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (2008) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_4_4 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2009) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_4_4 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2010) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_8_50 = e3
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (2010) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) op(e3, e0) = all_8_48
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2000) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_10_5 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (652), (2013) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) e2 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2014) implies:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) e2 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2015) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2016) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_10_8 = e1 | all_10_14 = e1 | all_10_22 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_10_8 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2018) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) e3 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2019) imply:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) $false
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2020) is inconsistent.
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_10_14 = e1 | all_10_22 = e1
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2021) gives:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_10_14 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (2022) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) e1 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2023) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2024) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_10_22 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (2025) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_4_14 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2026) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_4_14 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2027) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_8_58 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2027) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) ~ (e3 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (2027) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) op(e1, e2) = all_8_57
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2027) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) op(e0, e2) = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_57,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (2030) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_8_57 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48, e0, e3, simplifying with (143), (2012)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_8_48 = all_4_21
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_53,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1979), (1987) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_8_53 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_6_13 = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (2007), (2035) are inconsistent by
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) ~ (all_6_13 = e2)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_6_3 = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2038) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_4_15 = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (2039) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2040) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_6_4 = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2042) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_4_20 = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (2043) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) ~ (all_6_4 = e2)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) unit = e2
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (2047), (function-axioms) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_10_0 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (658), (2049) are inconsistent by sub-proof
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #201.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_10_16 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2051) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_4_20 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2052) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) all_4_20 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2053) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) ~ (all_4_15 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2053) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) ~ (all_4_22 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2055) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) ~ (all_4_22 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_10_9 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (2054), (2057) are inconsistent by
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_10_9 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1598) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_6_14 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2060) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_4_22 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2061) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) ~ (all_4_21 = e4)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2041) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_6_3 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (2063) are inconsistent by sub-proof
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_10_16 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2051), (2065) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) e3 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2066) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2067) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) ~ (all_10_16 = e3)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) all_6_3 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2054), (2070) are inconsistent by
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_6_3 = e3 | all_6_3 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2050) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_10_1 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1971), (2072) are inconsistent by
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #198.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) ~ (all_10_1 = e3)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1971), (2073) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (e3 = e0)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_6_3 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2076) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_4_15 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2077) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_4_15 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2078) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) op(e4, e1) = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_10_2 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2080) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_4_1 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2081) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_4_1 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2082) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) ~ (all_4_21 = e4)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2082) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) op(e4, e3) = all_8_9
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_10_0 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2085) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) e2 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2086) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2087) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2088) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) all_10_2 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (2080), (2089) are inconsistent by
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #253.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2059) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_10_10 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (391), (639), (2091) are inconsistent by sub-proof
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2090) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_10_6 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2093) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_4_2 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_4_2 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2095) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) ~ (all_4_17 = e0)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2096) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) ~ (all_4_17 = e0)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (2095) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) op(e0, e2) = all_8_20
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_6_9 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2099) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_4_21 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2062), (2100) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2101) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) all_10_17 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2103) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_4_21 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (2104) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) op(e3, e3) = all_8_18
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (2104) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) op(e3, e0) = all_8_19
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2104) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) op(e3, e0) = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2092) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_10_11 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2108) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_4_17 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2109) implies:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_4_17 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (2110) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) op(e1, e2) = all_8_29
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_20,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (2031), (2098) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_8_20 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_29,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (2111) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) all_8_29 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_19,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (2106), (2107) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_8_19 = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_18,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (2105) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_8_18 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1979), (2084) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_8_9 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) unit = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (1979), (2079), (2117),
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) unit = e3 | unit = e1 | unit = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) unit = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (2119), (function-axioms) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) unit = e3 | unit = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) unit = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2121) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) op(e3, e0) = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2121) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) op(e3, e3) = e3
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2107), (2122) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) e3 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (643), (2123) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) e3 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2124), (2125) are inconsistent by sub-proof
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #250.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) unit = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17), (2031), (2126), (function-axioms) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #196.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_10_15 = e1 | all_10_23 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (515), (2003), (2127) are inconsistent
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #244.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) ~ (all_10_17 = e3)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (388), (491), (620), (641), (2102), (2128) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_10_12 = e0 | all_10_20 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (352), (616), (1552), (2129) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #190.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (388), (391), (491), (558), (620),
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (641), (652), (1581), (2062), (2130) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #219.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_6_3 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (406), (477), (544), (1992), (2051),
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074), (2131) are inconsistent by sub-proof #189.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (621), (2056), (2132) are
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_10_16 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (2133) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (all_4_20 = e1)
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_10_0 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2136) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) e2 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2137) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2138) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e1
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_6_4 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2140) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_4_20 = e4
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1998), (2141) imply:
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) $false
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2142) is inconsistent.
% 71.37/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2143) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_6_4 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2144) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_4_20 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2135), (2145) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2146) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_6_4 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_6_4 = e3 | all_6_4 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_6_4 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2149) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_4_20 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2150) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_8_51 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2150) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) ~ (all_4_15 = e3)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2150) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_4_21 = e3)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2153) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_4_21 = e3)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_10_17 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2155) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_4_21 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (641), (2156) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2157) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_10_17 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_10_9 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2160) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_4_15 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2161) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_4_15 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2152), (2162) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1581) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_6_9 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2165) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_4_21 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2166) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_4_21 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2167) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_8_55 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2167) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) ~ (all_4_22 = e4)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2169) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_4_22 = e4)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2139) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_10_1 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1971), (2171) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) e1 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2172) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) e1 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2173) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2174) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_10_6 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2176) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_4_2 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2177) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_4_2 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2178) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_8_22 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2178) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) ~ (all_4_17 = e4)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_10_0 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2181) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) e2 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2182) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2183) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_10_18 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2185) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_4_22 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2186) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_8_59 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2170), (2186) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) ~ (e4 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_10_9 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2189) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_4_15 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_4_15 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (2191) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_8_36 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2191) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) ~ (all_4_17 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2193) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) ~ (all_4_17 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2037) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_6_13 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2195) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_4_17 = e4
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (2196) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2197) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_6_13 = e4)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2199) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_6_13 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2200) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_4_17 = e1
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2194), (2201) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2202) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) ~ (all_6_13 = e1)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_6_13 = e3 | all_6_13 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2204) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_6_13 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2205) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_4_17 = e3
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2206) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2207) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_6_13 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2208) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_4_17 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2209) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_8_44 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_10_2 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2211) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_4_1 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2212) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_4_1 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2213) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_8_11 = e0
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_14 = e2) & ~ (all_8_26 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2215) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2217) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2218) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) ~ (all_8_11 = all_8_12)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1973), (2214), (2219) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2221) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) ~ (all_8_22 = all_8_23)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1995), (2179), (2222) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2223) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_8 = e4 & ~ (all_8_7 = e0)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 &
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2224) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2225) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) ~ (all_8_35 = all_8_36)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (2192), (2226) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2227) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2229) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) ~ (all_8_50 = all_8_51)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2151), (2230) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2231) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2232) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_8_11 = all_8_12)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1973), (2214), (2233) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2234) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2235) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2236) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2237) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) ~ (all_8_26 = all_8_27)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (1969), (2238) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2239) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2240) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) ~ (all_8_39 = all_8_40)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (375), (391), (437), (515), (548), (658),
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569), (2003), (2164), (2241) are inconsistent by
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2243) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) ~ (all_8_54 = all_8_55)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1983), (2168), (2244) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)) | (all_8_25 = e2 & ~ (all_8_24 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_26 = all_8_27))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2247) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) ~ (all_8_22 = all_8_23)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1995), (2179), (2248) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2249) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2250) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) ~ (all_8_26 = all_8_27)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (1969), (2251) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2252) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44)) | (all_8_47 = e1 & ~ (all_8_46 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_48 = e4) & ~ (all_8_50 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_53 = e0 & ~ (all_8_52 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_56 = e2) & ~ (all_8_58 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2253) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2254) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59))
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2255) gives:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2256) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) ~ (all_8_43 = all_8_44)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2210), (2257) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2258) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2259) implies:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) ~ (all_8_58 = all_8_59)
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2187), (2260) imply:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) $false
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2261) is inconsistent.
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 71.37/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2263) implies:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_8_35 = all_8_36)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (2192), (2264) imply:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) $false
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2265) is inconsistent.
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)) | (all_8_42 = e1 & ~ (all_8_41 =
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_43 = all_8_44))
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2267) implies:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) ~ (all_8_39 = all_8_40)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (375), (391), (437), (515), (548), (658),
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569), (2003), (2164), (2268) are inconsistent by
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2269) implies:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) ~ (all_8_43 = all_8_44)
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (2210), (2270) imply:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) $false
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2271) is inconsistent.
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.37/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_52 = e3) & ~ (all_8_54 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2272) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51))
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2273) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2274) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_8_62 = all_8_63)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (2006), (2275) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2276) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_51)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_8_50 = all_8_51)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2151), (2278) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2279) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2280) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2281) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) ~ (all_8_54 = all_8_55)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1983), (2168), (2282) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2283) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2284) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2285) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) ~ (all_8_58 = all_8_59)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2187), (2286) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2287) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) ~ (all_8_62 = all_8_63)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (2006), (2289) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2290) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (352), (554), (616), (1552), (2176), (2291)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #117.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) ~ (all_10_9 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (2292) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) ~ (all_4_15 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2175) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_10_4 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1992), (2294) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) e4 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2295) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_10_9 = e1 | all_10_16 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2297) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_10_9 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2298) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_4_15 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2293), (2299) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2300) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_10_16 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2301) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_4_20 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2135), (2302) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2303) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) ~ (all_10_18 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (2304) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) ~ (all_4_22 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (621), (1598), (2170), (2305) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_10_7 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1970), (2307) are inconsistent by sub-proof
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_10_18 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2309) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_4_22 = e1
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2170), (2310) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) ~ (e4 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2308) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_10_8 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (2312) are inconsistent by sub-proof
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_10_11 = e4 | all_10_18 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (375), (559), (2309), (2313) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) ~ (all_10_18 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (2314) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) ~ (all_4_22 = e1)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (621), (1598), (2170), (2315) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (620), (641), (2154), (2316) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_6_4 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2317) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_4_20 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (2318) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2319) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) ~ (all_10_20 = e3)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2320) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) ~ (all_4_4 = e3)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (1558), (1991), (2321) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #128.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_10_24 = e2
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (2322) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) e2 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2323) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2324) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) ~ (all_10_4 = e4)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (2325) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) ~ (all_4_10 = e4)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647), (1587), (1986), (2326) are inconsistent by
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #131.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (635), (1572), (2327) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) ~ (all_10_1 = e0)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (2328) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) ~ (all_4_5 = e0)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_6_1 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (2330) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_4_5 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2331) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_4_5 = e4
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2332) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) ~ (all_4_9 = e4)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) ~ (all_4_9 = e4)
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1959) gives:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1964), (2334) imply:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) $false
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2335) is inconsistent.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (635), (1572), (2336) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (629), (1570), (2329), (2337) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (469), (473), (537), (629), (631), (1570),
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | (1590), (1965), (1966), (2338) are inconsistent by
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (635), (1572), (2339) are
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #99.
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | (2340) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 72.27/10.65 | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (515), (544), (658), (1546), (2340)
% 72.27/10.65 | | | | | | | | | | | | | | | are inconsistent by sub-proof #98.
% 72.27/10.65 | | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | Case 2:
% 72.27/10.65 | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | (2341) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.27/10.65 | | | | | | | | | | | | | all_10_19 = e1
% 72.27/10.65 | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (366), (479), (515),
% 72.27/10.65 | | | | | | | | | | | | | (538), (633), (1538), (1546), (2341) are
% 72.27/10.65 | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 72.27/10.65 | | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | | |
% 72.27/10.65 | | | | | | | | | End of split
% 72.27/10.65 | | | | | | | | |
% 72.27/10.65 | | | | | | | | End of split
% 72.27/10.65 | | | | | | | |
% 72.27/10.65 | | | | | | | End of split
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | End of split
% 72.27/10.65 | | | | | |
% 72.27/10.65 | | | | | Case 2:
% 72.27/10.65 | | | | | |
% 72.27/10.65 | | | | | | (2342) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.27/10.65 | | | | | |
% 72.27/10.65 | | | | | | BETA: splitting (2342) gives:
% 72.27/10.65 | | | | | |
% 72.27/10.65 | | | | | | Case 1:
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | (2343) all_6_7 = e4
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | COMBINE_EQS: (474), (2343) imply:
% 72.27/10.65 | | | | | | | (2344) all_4_11 = e4
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | SIMP: (2344) implies:
% 72.27/10.65 | | | | | | | (2345) all_4_11 = e4
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | COMBINE_EQS: (392), (2345) imply:
% 72.27/10.65 | | | | | | | (2346) all_8_27 = e4
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | COMBINE_EQS: (517), (2345) imply:
% 72.27/10.65 | | | | | | | (2347) all_10_5 = e4
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | REDUCE: (115), (2345) imply:
% 72.27/10.65 | | | | | | | (2348) ~ (all_4_1 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | REDUCE: (72), (2345) imply:
% 72.27/10.65 | | | | | | | (2349) ~ (all_4_10 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | REDUCE: (64), (2345) imply:
% 72.27/10.65 | | | | | | | (2350) ~ (all_4_14 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | SIMP: (2350) implies:
% 72.27/10.65 | | | | | | | (2351) ~ (all_4_14 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | REDUCE: (62), (2345) imply:
% 72.27/10.65 | | | | | | | (2352) ~ (all_4_21 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | SIMP: (2352) implies:
% 72.27/10.65 | | | | | | | (2353) ~ (all_4_21 = e4)
% 72.27/10.65 | | | | | | |
% 72.27/10.65 | | | | | | | REDUCE: (574), (2345) imply:
% 72.27/10.66 | | | | | | | (2354) op(e4, e3) = all_8_14
% 72.27/10.66 | | | | | | |
% 72.27/10.66 | | | | | | | REDUCE: (575), (2345) imply:
% 72.27/10.66 | | | | | | | (2355) op(e4, e2) = all_8_15
% 72.27/10.66 | | | | | | |
% 72.27/10.66 | | | | | | | BETA: splitting (647) gives:
% 72.27/10.66 | | | | | | |
% 72.27/10.66 | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | | (2356) all_6_2 = e4
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | | REF_CLOSE: (471), (2349), (2356) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | #255.
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | | (2357) ~ (all_6_2 = e4)
% 72.27/10.66 | | | | | | | | (2358) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | | BETA: splitting (2358) gives:
% 72.27/10.66 | | | | | | | |
% 72.27/10.66 | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | (2359) all_6_2 = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | COMBINE_EQS: (471), (2359) imply:
% 72.27/10.66 | | | | | | | | | (2360) all_4_10 = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | SIMP: (2360) implies:
% 72.27/10.66 | | | | | | | | | (2361) all_4_10 = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | COMBINE_EQS: (425), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2362) all_8_23 = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | COMBINE_EQS: (409), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2363) all_10_4 = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (69), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2364) ~ (all_4_14 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | SIMP: (2364) implies:
% 72.27/10.66 | | | | | | | | | (2365) ~ (all_4_14 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (68), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2366) ~ (all_4_15 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | SIMP: (2366) implies:
% 72.27/10.66 | | | | | | | | | (2367) ~ (all_4_15 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (67), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2368) ~ (all_4_20 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | SIMP: (2368) implies:
% 72.27/10.66 | | | | | | | | | (2369) ~ (all_4_20 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (2349), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2370) ~ (e4 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (540), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2371) ~ (e3 = e1)
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (571), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2372) op(e1, e2) = all_8_4
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | REDUCE: (150), (2361) imply:
% 72.27/10.66 | | | | | | | | | (2373) op(e4, e2) = e1
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | BETA: splitting (180) gives:
% 72.27/10.66 | | | | | | | | |
% 72.27/10.66 | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | (2374) all_6_22 = e2
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | COMBINE_EQS: (493), (2374) imply:
% 72.27/10.66 | | | | | | | | | | (2375) all_4_14 = e2
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | COMBINE_EQS: (461), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2376) all_8_58 = e2
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | COMBINE_EQS: (608), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2377) all_8_42 = e2
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | COMBINE_EQS: (346), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2378) all_10_22 = e2
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (75), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2379) ~ (all_4_9 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (54), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2380) ~ (all_4_19 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | SIMP: (2380) implies:
% 72.27/10.66 | | | | | | | | | | (2381) ~ (all_4_19 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (2351), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2382) ~ (e4 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (546), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2383) ~ (e3 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | SIMP: (2383) implies:
% 72.27/10.66 | | | | | | | | | | (2384) ~ (e3 = e2)
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (595), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2385) op(e2, e2) = all_8_57
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | REDUCE: (596), (2375) imply:
% 72.27/10.66 | | | | | | | | | | (2386) op(e2, e0) = all_8_56
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 72.27/10.66 | | | | | | | | | | e2, e1, simplifying with (23), (2372) gives:
% 72.27/10.66 | | | | | | | | | | (2387) all_8_4 = e0
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 72.27/10.66 | | | | | | | | | | all_8_56, e0, e2, simplifying with (138), (2386)
% 72.27/10.66 | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | (2388) all_8_56 = all_4_22
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_57,
% 72.27/10.66 | | | | | | | | | | e2, e2, simplifying with (24), (2385) gives:
% 72.27/10.66 | | | | | | | | | | (2389) all_8_57 = e3
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_15,
% 72.27/10.66 | | | | | | | | | | e2, e4, simplifying with (2355), (2373) gives:
% 72.27/10.66 | | | | | | | | | | (2390) all_8_15 = e1
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 72.27/10.66 | | | | | | | | | | all_8_14, e3, e4, simplifying with (151), (2354)
% 72.27/10.66 | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | (2391) all_8_14 = all_4_5
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | BETA: splitting (184) gives:
% 72.27/10.66 | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | (2392) all_6_16 = e2
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | COMBINE_EQS: (479), (2392) imply:
% 72.27/10.66 | | | | | | | | | | | (2393) all_4_8 = e2
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | SIMP: (2393) implies:
% 72.27/10.66 | | | | | | | | | | | (2394) all_4_8 = e2
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | COMBINE_EQS: (366), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2395) all_10_13 = e2
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (84), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2396) ~ (all_4_7 = e2)
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (79), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2397) ~ (all_4_9 = e2)
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (76), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2398) ~ (all_4_23 = e2)
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | SIMP: (2398) implies:
% 72.27/10.66 | | | | | | | | | | | (2399) ~ (all_4_23 = e2)
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (580), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2400) op(e2, e3) = all_8_38
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (581), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2401) op(e2, e1) = all_8_37
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | REDUCE: (136), (2394) imply:
% 72.27/10.66 | | | | | | | | | | | (2402) op(e1, e3) = e2
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 72.27/10.66 | | | | | | | | | | | all_8_37, e1, e2, simplifying with (139), (2401)
% 72.27/10.66 | | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | | (2403) all_8_37 = all_4_17
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 72.27/10.66 | | | | | | | | | | | all_8_38, e3, e2, simplifying with (141), (2400)
% 72.27/10.66 | | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | | (2404) all_8_38 = all_4_7
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | BETA: splitting (181) gives:
% 72.27/10.66 | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | (2405) all_6_21 = e2
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | REF_CLOSE: (490), (2379), (2405) are inconsistent by
% 72.27/10.66 | | | | | | | | | | | | sub-proof #262.
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | (2406) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 72.27/10.66 | | | | | | | | | | | | all_6_21 = e0
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | BETA: splitting (190) gives:
% 72.27/10.66 | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | (2407) all_6_9 = e2
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | COMBINE_EQS: (491), (2407) imply:
% 72.27/10.66 | | | | | | | | | | | | | (2408) all_4_21 = e2
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | SIMP: (2408) implies:
% 72.27/10.66 | | | | | | | | | | | | | (2409) all_4_21 = e2
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | COMBINE_EQS: (388), (2409) imply:
% 72.27/10.66 | | | | | | | | | | | | | (2410) all_10_17 = e2
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | REDUCE: (33), (2409) imply:
% 72.27/10.66 | | | | | | | | | | | | | (2411) ~ (all_4_22 = e2)
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | SIMP: (2411) implies:
% 72.27/10.66 | | | | | | | | | | | | | (2412) ~ (all_4_22 = e2)
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | REDUCE: (593), (2409) imply:
% 72.27/10.66 | | | | | | | | | | | | | (2413) op(e2, e3) = all_8_18
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | REDUCE: (594), (2409) imply:
% 72.27/10.66 | | | | | | | | | | | | | (2414) op(e2, e0) = all_8_19
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | BETA: splitting (315) gives:
% 72.27/10.66 | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | (2415) all_10_6 = e2
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | REF_CLOSE: (385), (521), (2415) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | #147.
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | (2416) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 72.27/10.66 | | | | | | | | | | | | | | all_10_18 = e2
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | BETA: splitting (2416) gives:
% 72.27/10.66 | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | (2417) all_10_7 = e2
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2417) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | (2418) all_4_7 = e2
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | REDUCE: (2396), (2418) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | (2419) $false
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | CLOSE: (2419) is inconsistent.
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | (2420) all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 72.27/10.66 | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | (2421) all_10_8 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2421) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | (2422) e3 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | REDUCE: (2384), (2422) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | (2423) $false
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | CLOSE: (2423) is inconsistent.
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | (2424) all_10_11 = e2 | all_10_18 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | BETA: splitting (2424) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | (2425) all_10_11 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2425) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | (2426) all_4_17 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | SIMP: (2426) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | (2427) all_4_17 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | (2428) all_10_9 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (2367), (2428) are inconsistent by
% 72.27/10.66 | | | | | | | | | | | | | | | | | | sub-proof #113.
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | (2429) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | BETA: splitting (2429) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | (2430) all_10_10 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (391), (639), (2430) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | #112.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | (2431) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (2431) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | (2432) all_10_11 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2425), (2432) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | #146.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | (2433) all_10_15 = e1 | all_10_23 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2433) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2434) all_10_15 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2434) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2435) e4 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2435) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2436) $false
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2436) is inconsistent.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2437) all_10_23 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (2437) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2438) all_4_19 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | SIMP: (2438) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2439) all_4_19 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2439) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2440) ~ (all_4_4 = e1)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2381), (2439) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2441) ~ (e2 = e1)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | all_8_19, e0, e2, simplifying with (138), (2414)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2442) all_8_19 = all_4_22
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | all_8_18, e3, e2, simplifying with (141), (2413)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | (2443) all_8_18 = all_4_7
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | (2444) all_6_4 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (2444) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | #92.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | (2445) ~ (all_6_4 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | (2446) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2447) all_6_11 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (2447) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2448) all_4_7 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2448) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2449) $false
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2449) is inconsistent.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_6_11 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2451) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_6_20 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (2452) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2453) ~ (all_6_20 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_6_3 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (2455) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_6_3 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_6_14 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (2412), (2458) are inconsistent by
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_6_14 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) unit = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (2461), (function-axioms) are
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_6_10 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (521), (2463) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #257.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) ~ (all_6_10 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_6_1 = e2
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (2466) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) ~ (all_6_1 = e2)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_10_6 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2469) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_4_2 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2470) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_4_2 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2471) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) ~ (all_4_3 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2471) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) ~ (all_4_7 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2473) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) ~ (all_4_7 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (2471) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) ~ (all_4_22 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2471) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (e2 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2471) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) op(e0, e4) = all_8_21
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_10_0 = e4
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (2478) are inconsistent by sub-proof
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) ~ (all_10_0 = e4)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_10_1 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (2481) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_4_5 = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_4_9 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) ~ (all_4_15 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) ~ (all_4_15 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) ~ (all_4_20 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) ~ (e1 = e0)
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) op(e0, e4) = all_8_1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (2482) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) op(e4, e3) = e0
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_10_0 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2490) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) e2 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2491) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) $false
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2492) is inconsistent.
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2493) gives:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_10_2 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2494) imply:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_4_1 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_4_1 = e1
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (2496) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2497) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_10_6 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2469), (2499) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) e1 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2500) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2501) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_10_12 = e1 | all_10_20 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_10_0 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (2503) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_10_1 = e4 | all_10_4 = e4 | all_10_9 = e4 |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2504) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) all_10_1 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2481), (2505) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) e4 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2506) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) e4 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2507) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2508) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_10_4 = e4 | all_10_9 = e4 | all_10_16 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) all_10_4 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2363), (2510) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_10_9 = e4 | all_10_16 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_10_9 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2512) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_4_15 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2513) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2514) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_10_16 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2515) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_4_20 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (2516) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) op(e4, e4) = all_8_7
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2502) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_10_12 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2518) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_4_3 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2519) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_4_3 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2520) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) ~ (all_4_23 = e1)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2521) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) ~ (all_4_23 = e1)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_10_6 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2469), (2523) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) e4 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2524) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2525) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2526) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_10_7 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2527) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_4_7 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2528) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) ~ (all_4_9 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2529) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) ~ (all_4_9 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (2528) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) op(e4, e3) = all_8_25
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_6_21 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (2532) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_4_9 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2530), (2533) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2534) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_10_16 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_10_9 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2537) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_4_15 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2538) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2539) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2515), (2536) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) e4 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2540) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) e4 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2541) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2542) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) ~ (all_10_16 = e1)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_10_20 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (2545) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_4_4 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2546) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_4_4 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (2547) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) op(e4, e4) = all_8_49
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (2547) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) op(e0, e4) = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_10_0 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (2384), (2550) are inconsistent by
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_6_3 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (2552) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #200.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_10_2 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2554) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_4_1 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2555) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_4_1 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2556) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) op(e3, e4) = all_8_10
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2556) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) op(e3, e3) = all_8_9
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2556) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) op(e3, e4) = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) all_10_9 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2560) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_4_15 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2561) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) op(e3, e4) = all_8_5
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2544) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_10_17 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2410), (2563) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) e2 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2564) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2565) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2566) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_10_18 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2567) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_4_22 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (2568) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) op(e1, e2) = all_8_31
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2568) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) op(e2, e0) = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_6_21 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (635), (2571) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #157.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) all_6_21 = e3 | all_6_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_6_21 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (2573) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_4_9 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2574) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_4_9 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (2575) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) op(e3, e3) = all_8_53
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e0, simplifying with (2477), (2488)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) all_8_1 = all_8_21
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_1,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (2488), (2549) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_8_1 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_31,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (2569) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) all_8_31 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_9,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (2558) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) all_8_9 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_53,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e3, simplifying with (2558), (2576)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_8_9 = all_8_53
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e3, simplifying with (2557), (2562)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_8_5 = all_8_10
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (2559), (2562) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_8_5 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (2489), (2531) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_8_25 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_7,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (2517) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_8_7 = e2
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e4, simplifying with (2517), (2548)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_8_7 = all_8_49
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2577), (2578) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_8_21 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_8_21 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2582), (2583) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_8_10 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2589) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_8_10 = e3
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2585), (2586) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_8_49 = e2
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2591) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_8_49 = e2
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2580), (2581) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_8_53 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2593) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_8_53 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2462) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) unit = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (16), (25), (2549), (2595),
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) unit = e3 | unit = e1 | unit = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (11), (15), (16), (17), (23),
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643), (2489), (2559), (2570), (2596),
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_6_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (2597) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_10_19 = e1 | all_10_24 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (355), (612), (2522), (2598) are
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) ~ (all_10_9 = e3)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (2599) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) ~ (all_4_15 = e3)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2367), (2485), (2553), (2600) are
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) ~ (all_10_2 = e3)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (2601) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) ~ (all_4_1 = e3)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (400), (534), (2518), (2545),
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551), (2602) are inconsistent by sub-proof #89.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) ~ (all_10_20 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2603) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) ~ (all_4_4 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (400), (554), (2348), (2469), (2480),
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518), (2604) are inconsistent by sub-proof #88.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_10_7 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (2605) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) ~ (all_4_7 = e4)
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (2451), (2474), (2606) are
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #123.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_10_20 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (2607) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_4_4 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2608) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_4_4 = e1
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2440), (2609) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2610) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2611) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_10_3 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (2612) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) e1 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2613) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2614) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2451) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_6_11 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (2616) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_4_7 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2617) implies:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_4_7 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2618) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_10_7 = e4
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2615) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_10_7 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2619), (2620) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) e4 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2621) imply:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) $false
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2622) is inconsistent.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_10_13 = e0 | all_10_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2623) gives:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_10_13 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2395), (2624) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_10_21 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (617), (2625) are inconsistent by sub-proof
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #87.
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (2474), (2626) are
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2627) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_10_7 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2628) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_4_7 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2629) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (all_4_2 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2629) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) ~ (all_4_22 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (2629) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) ~ (e3 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2629) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) ~ (e2 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2629) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) op(e2, e3) = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_10_0 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2635) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) e2 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2636) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2637) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_10_2 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2639) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_4_1 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2640) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_4_1 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (2641) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) ~ (all_4_2 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2641) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) ~ (all_4_4 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2641) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) op(e0, e4) = all_8_10
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_10_2 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2645) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) e3 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2646) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2647) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) ~ (all_10_2 = e3)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2649) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_10_3 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (2650) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) e3 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2651) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) e3 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2652) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2653) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) ~ (all_10_3 = e3)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_10_5 = e3 | all_10_10 = e3 | all_10_17 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_10_9 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2656) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_4_15 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (2657) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_4_5 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2657) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) ~ (all_4_20 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2367), (2657) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) ~ (e1 = e0)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2657) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) op(e0, e4) = all_8_5
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2657) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) op(e4, e1) = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e0, simplifying with (132), (2661)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_8_5 = all_4_4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e0, simplifying with (2644), (2661)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_8_5 = all_8_10
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2663), (2664) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_8_10 = all_4_4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_10_0 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (2666) are inconsistent by sub-proof
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (all_10_0 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_10_16 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2669) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_4_20 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_4_20 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2671) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) ~ (all_4_22 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2672) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) ~ (all_4_22 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2460) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_6_14 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2674) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_4_22 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2673), (2675) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2676) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_6_14 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2678) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_4_22 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2679) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) op(e2, e0) = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (16), (23), (471), (529), (540),
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541), (571), (2358), (2462), (2634), (2662),
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680), (function-axioms) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_6_14 = e3 | all_6_14 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (621), (2681) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #109.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) ~ (all_10_16 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (2682) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) ~ (all_4_20 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_10_0 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (2685) are inconsistent by sub-proof
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_10_1 = e4 | all_10_4 = e4 | all_10_9 = e4 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2446) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_6_4 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (2684), (2687) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2688) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_6_4 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (2369), (2689) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #137.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_6_4 = e3 | all_6_4 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2683) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_10_17 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2410), (2691) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) e4 = e2
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2692) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2693) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2686) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_10_1 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (2695) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_4_5 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2696) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) ~ (all_4_20 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2696) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) op(e4, e4) = all_8_1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_10_20 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (2699) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_4_4 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2700) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_4_4 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2701) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_4_2 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (2701) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) op(e4, e4) = all_8_49
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (2701) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) op(e4, e0) = all_8_48
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (2701) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) op(e0, e4) = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2690) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_6_4 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2706) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_4_20 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2684), (2707) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) ~ (e4 = e3)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2707) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) op(e4, e0) = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_10_6 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (2702), (2710) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_10_6 = e4)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_10_7 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2628), (2713) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) e4 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2714) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2715) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2716) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_10_8 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (2717) are inconsistent by sub-proof
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_10_11 = e4 | all_10_18 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_10_6 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2719) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) all_4_2 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2720) implies:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_4_2 = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (2721) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) op(e1, e2) = all_8_20
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2721) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) op(e2, e4) = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_10_11 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2425), (2724) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) e4 = e2
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2725) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) $false
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2726) is inconsistent.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_10_18 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2727) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_4_22 = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (2728) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) op(e4, e0) = all_8_32
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2728) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) op(e2, e0) = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_20,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (2722) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_8_20 = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_48,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32, e0, e4, simplifying with (2704), (2729)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_8_32 = all_8_48
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_32,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (2709), (2729) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_8_32 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (2698) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_8_1 = e2
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e4, simplifying with (2698), (2703)
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_8_1 = all_8_49
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2734), (2735) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_8_49 = e2
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2732), (2733) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_8_48 = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2462) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) unit = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2738) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) op(e4, e4) = e4
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2738) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) op(e2, e4) = e2
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (2738) imply:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) op(e0, e4) = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (25), (2705), (2723), (2739), (2740),
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741), (function-axioms) are inconsistent by
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) unit = e3 | unit = e1 | unit = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) unit = e1
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (2743), (function-axioms) are
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) unit = e3 | unit = e0
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2744) gives:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) unit = e3
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (15), (2402), (2634), (2745),
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) unit = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2746) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) op(e4, e0) = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2746) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) op(e2, e0) = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e0,
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2730), (2748) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) e4 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e0,
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (2709), (2747) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) e4 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2749), (2750) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) e3 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2384), (2751) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2752) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_10_6 = e1)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (2753) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) ~ (all_4_2 = e1)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (2465), (2630), (2702), (2754) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_6_4 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2755) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_4_20 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (2756) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2757) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) ~ (all_10_20 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (2758) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ~ (all_4_4 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_6_20 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2759), (2760) are inconsistent by
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_6_20 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_10_2 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2763) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) e4 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2764) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2765) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_10_6 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2767) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_4_2 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2768) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_4_2 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (2769) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) ~ (all_4_22 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2770) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) ~ (all_4_22 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2694) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_10_18 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2772) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_4_22 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2773) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_4_22 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2771), (2774) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2775) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_10_19 = e4 | all_10_24 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (355), (554), (563), (612), (2776) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_10_12 = e4 | all_10_20 = e4
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_10_12 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (2759), (2777), (2778) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2779) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_10_13 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2395), (2780) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_10_14 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (2782) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) e1 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2783) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2784) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_10_15 = e1 | all_10_19 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_10_15 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (515), (2786) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_10_19 = e1
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_10_12 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2788) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_4_3 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2789) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_4_3 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2790) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) ~ (all_4_4 = e3)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2791) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) ~ (all_4_4 = e3)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (2440), (2762), (2792) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #128.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (363), (515), (544), (2384), (2395),
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787), (2793) are inconsistent by sub-proof #224.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) ~ (all_10_1 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (2794) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) ~ (all_4_5 = e4)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2690) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_6_4 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2796) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_4_20 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2797) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_4_20 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2798) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ~ (all_4_5 = e3)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (629), (2468), (2658), (2795), (2799) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_6_4 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (619), (2800) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #135.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) ~ (all_10_9 = e0)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (2801) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) ~ (all_4_15 = e0)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2655) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_10_5 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2347), (2803) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) e4 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) e4 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2805) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2806) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_10_10 = e3 | all_10_17 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2807) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_10_10 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2808) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_4_16 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2809) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_4_16 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2810) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) ~ (all_4_15 = e3)
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (2367), (2457), (2802), (2811) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_10_17 = e3
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2410), (2812) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) e3 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2813) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) e3 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2384), (2814) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2815) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2816) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_10_6 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (2630), (2817) are inconsistent by
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_10_12 = e0 | all_10_20 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (369), (535), (616), (2818) are
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #82.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2819) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_10_8 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2820) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) e3 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2821) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2822) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_10_11 = e0 | all_10_18 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_10_11 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2425), (2824) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_10_18 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2825) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_4_22 = e0
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (2826) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2827) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | (2828) all_10_18 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (2412), (2828) are inconsistent by
% 72.27/10.69 | | | | | | | | | | | | | | | | | sub-proof #116.
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | End of split
% 72.27/10.69 | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | (2829) ~ (all_6_9 = e2)
% 72.27/10.69 | | | | | | | | | | | | | (2830) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 72.27/10.69 | | | | | | | | | | | | | all_6_9 = e0
% 72.27/10.69 | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | REDUCE: (491), (2829) imply:
% 72.27/10.69 | | | | | | | | | | | | | (2831) ~ (all_4_21 = e2)
% 72.27/10.69 | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | BETA: splitting (2830) gives:
% 72.27/10.69 | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | (2832) all_6_9 = e4
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | REF_CLOSE: (491), (2353), (2832) are inconsistent by
% 72.27/10.69 | | | | | | | | | | | | | | sub-proof #222.
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | (2833) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | BETA: splitting (2833) gives:
% 72.27/10.69 | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | (2834) all_6_9 = e1
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | REF_CLOSE: (491), (641), (2834) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | #221.
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | (2835) ~ (all_6_9 = e1)
% 72.27/10.69 | | | | | | | | | | | | | | | (2836) all_6_9 = e3 | all_6_9 = e0
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 72.27/10.69 | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | (2837) all_10_2 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | REF_CLOSE: (400), (519), (2837) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | #81.
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | (2838) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 72.27/10.69 | | | | | | | | | | | | | | | | all_10_17 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | BETA: splitting (2838) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | (2839) all_10_3 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (627), (2839) are inconsistent by sub-proof
% 72.27/10.69 | | | | | | | | | | | | | | | | | #80.
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | (2840) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives:
% 72.27/10.69 | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | (2841) all_10_5 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2347), (2841) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | (2842) e4 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | SIMP: (2842) implies:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | (2843) e4 = e2
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | REDUCE: (20), (2843) imply:
% 72.27/10.69 | | | | | | | | | | | | | | | | | | (2844) $false
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.69 | | | | | | | | | | | | | | | | | | CLOSE: (2844) is inconsistent.
% 72.27/10.69 | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | (2845) all_10_10 = e2 | all_10_17 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2846) all_10_10 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2846) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2847) all_4_16 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | SIMP: (2847) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2848) all_4_16 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2848) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2849) ~ (all_4_17 = e2)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | SIMP: (2849) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2850) ~ (all_4_17 = e2)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2848) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2851) ~ (all_4_21 = e2)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2848) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2852) op(e2, e3) = all_8_16
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2848) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | (2853) op(e2, e1) = all_8_17
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | (2854) all_10_6 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (521), (2854) are inconsistent by sub-proof
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | #147.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | (2855) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | all_10_18 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2856) all_10_2 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2856) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2857) all_4_1 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (2857) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2858) all_4_1 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2859) all_8_11 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_4_2 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | SIMP: (2860) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2861) ~ (all_4_2 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2862) ~ (all_4_3 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2863) ~ (all_4_4 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2864) ~ (all_4_21 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2865) ~ (e1 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2866) op(e0, e4) = all_8_10
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2867) op(e0, e3) = all_8_9
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2858) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | (2868) op(e3, e4) = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2869) all_6_9 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2869) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2870) all_4_21 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2870) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2871) all_4_21 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2871) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2872) all_8_55 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2871) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2873) all_10_17 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2871) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2874) ~ (all_4_20 = e3)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (2871) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (all_4_23 = e3)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2875) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | (2876) ~ (all_4_23 = e3)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | (2877) all_6_19 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2877) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | (2878) all_4_23 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2399), (2878) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | (2879) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2879) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | (2880) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | all_6_19 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_6_4 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (2881) are inconsistent by sub-proof
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2882) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_6_4 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2883) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_4_20 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2884) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_4_20 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2885) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_8_51 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2885) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_10_16 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2885) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2888) ~ (all_4_22 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2888) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | (2889) ~ (all_4_22 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_10_12 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2890) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_4_3 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2891) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_4_3 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (2892) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_8_35 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2892) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) ~ (all_4_4 = e3)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2894) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_4_4 = e3)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (2892) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) op(e3, e4) = all_8_34
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2855) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_10_7 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2897) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_4_7 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2898) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2899) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2900) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_10_8 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2901) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) e3 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2384), (2902) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2903) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_10_11 = e2 | all_10_18 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_10_11 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (2850), (2905) are inconsistent by
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_10_18 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2906) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_4_22 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2907) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_8_59 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_10_16 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2887), (2909) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) e4 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2910) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2911) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2912) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_10_17 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2873), (2913) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) e3 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2914) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2915) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2916) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_10_18 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2906), (2917) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) e2 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2918) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2919) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_10_19 = e1 | all_10_24 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2920) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_10_19 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (2921) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_4_23 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2922) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_4_23 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2923) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_8_63 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2399), (2923) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) ~ (e2 = e1)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e0, simplifying with (131), (2867)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_8_9 = all_4_9
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10, e4, e0, simplifying with (132), (2866)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_8_10 = all_4_4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17, e1, e2, simplifying with (139), (2853)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_8_17 = all_4_17
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16, e3, e2, simplifying with (141), (2852)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_8_16 = all_4_7
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_34,
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (2868), (2896) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_8_34 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_6_13 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (2850), (2931) are inconsistent by
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_6_11 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (2396), (2933) are inconsistent by
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #261.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) ~ (all_6_11 = e2)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_6_10 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2936) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_4_2 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2937) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2938) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) ~ (all_6_10 = e2)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_6_20 = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (2941) are inconsistent by sub-proof
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) unit = e2
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (2943), (function-axioms) are
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_10_1 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (2945) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_4_5 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (2946) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_8_12 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (2946) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) ~ (all_4_7 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2948) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) ~ (all_4_7 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2946) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) ~ (all_4_9 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (2946) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) ~ (all_4_15 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2951) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) ~ (all_4_15 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (2946) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) ~ (e2 = e0)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_10_0 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (2384), (2954) are inconsistent by
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2935) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_6_11 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (2956) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_4_7 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2957) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_4_7 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2404), (2958) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_8_38 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2958) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_8_26 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2958) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) ~ (all_4_2 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2958) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) ~ (all_4_9 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2962) implies:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) ~ (all_4_9 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2958) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) ~ (all_4_17 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_6_21 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (2963), (2965) are inconsistent by
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_10_20 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (2967) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_4_4 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2968) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_8_50 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2927), (2968) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_8_10 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_10_0 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2971) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) e2 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2972) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2973) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2940) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_6_10 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2975) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_4_2 = e4
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2961), (2976) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2977) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) ~ (all_6_10 = e4)
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2974) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_10_2 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2856), (2980) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) e1 = e0
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2981) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) $false
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2982) is inconsistent.
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2983) gives:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_10_6 = e1
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2984) imply:
% 72.27/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_4_2 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2985) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_4_2 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2986) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_8_22 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2986) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) ~ (all_4_17 = e1)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2988) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) ~ (all_4_17 = e1)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_10_9 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2990) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_4_15 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2952), (2991) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2992) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_10_20 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2967), (2994) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) e4 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2995) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2996) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2955) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_10_1 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (2945), (2998) are inconsistent by
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #198.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2966) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_6_21 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (3000) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_4_9 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (3001) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3002) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (all_6_21 = e1)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_6_21 = e3 | all_6_21 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2993) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_10_10 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2846), (3005) are inconsistent by sub-proof
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #77.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_10_11 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3007) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_4_17 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3008) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_4_17 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (3009) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_8_44 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2928), (3009) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_8_17 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (3009) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) ~ (all_4_19 = e0)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_10_21 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3013) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_4_9 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (3014) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3015) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3016) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_10_22 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2378), (3017) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) e2 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3018) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3019) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_10_23 = e1 | all_10_24 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2999) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_10_4 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2363), (3021) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) e3 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3022) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3023) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_10_9 = e3 | all_10_16 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3024) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_10_9 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3025) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_4_15 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (3026) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_8_36 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (3026) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) ~ (all_4_19 = e3)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3028) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) ~ (all_4_19 = e3)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (3026) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) ~ (e4 = e3)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3020) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_10_23 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3031) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_4_19 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (3032) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_8_62 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_14 = e2) & ~ (all_8_26 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3035) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3036) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3037) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) ~ (all_8_11 = all_8_12)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2859), (2947), (3038) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3039) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (2387), (3040) are inconsistent by
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_8 = e4 & ~ (all_8_7 = e0)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 &
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3041) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3042) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) ~ (all_8_35 = all_8_36)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2893), (3027), (3043) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3044) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3045) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3046) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) ~ (all_8_50 = all_8_51)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2886), (2969), (3047) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3048) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3049) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_8_10 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2970), (3050) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) e4 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3051) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) e4 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (3052) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3053) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3055) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3056) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_8_15 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2390), (3057) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) e3 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3058) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3059) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3060) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_8_17 = e3
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3011), (3061) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) e3 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3062) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) e3 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (3063) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3064) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3065) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3066) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) ~ (all_8_54 = all_8_55)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (2872), (3067) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) ~ (all_4_9 = e3)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (3004), (3068) are inconsistent by
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)) | (all_8_25 = e2 & ~ (all_8_24 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_26 = all_8_27))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3070) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_8_22 = all_8_23)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2362), (2987), (3071) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3072) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3073) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) ~ (all_8_26 = all_8_27)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2346), (2960), (3074) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3075) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44)) | (all_8_47 = e1 & ~ (all_8_46 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_48 = e4) & ~ (all_8_50 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_53 = e0 & ~ (all_8_52 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_56 = e2) & ~ (all_8_58 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3076) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3079) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) ~ (all_8_43 = all_8_44)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (3010), (3080) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3081) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3082) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) ~ (all_8_58 = all_8_59)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2376), (2908), (3083) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3084) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3085) gives:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3086) implies:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_8_34 = e1
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2930), (3087) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) e1 = e0
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3088) imply:
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) $false
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3089) is inconsistent.
% 72.27/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)) | (all_8_42 = e1 & ~ (all_8_41 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_43 = all_8_44))
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3090) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3091) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_8_38 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2959), (3092) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) e4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3093) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) e4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3094) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3095) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2377), (3096) are inconsistent by sub-proof
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_52 = e3) & ~ (all_8_54 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3097) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51))
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3098) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3099) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) ~ (all_8_62 = all_8_63)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2924), (3033), (3100) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3101) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_51)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3102) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) ~ (all_8_50 = all_8_51)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2886), (2969), (3103) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3104) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3105) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3106) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_8_54 = all_8_55)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (460), (2872), (3107) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_4_9 = e3)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (617), (3004), (3108) are inconsistent by
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3109) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (2389), (3110) are inconsistent by
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3111) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) ~ (all_8_62 = all_8_63)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2924), (3033), (3112) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3113) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_10_24 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (3114) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) e1 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3115) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3116) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_10_16 = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2887), (3117) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) e4 = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3118) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) e4 = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (3119) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3120) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_10_15 = e0 | all_10_23 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (343), (515), (554), (618), (3121) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) ~ (all_10_6 = e1)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3122) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) ~ (all_4_2 = e1)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (2861), (2979), (3123) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) ~ (all_10_20 = e4)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (3124) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) ~ (all_4_4 = e4)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2942) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_6_20 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3126) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_4_4 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3125), (3127) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3128) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_6_20 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3130) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_4_4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3131) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) ~ (all_4_2 = e1)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (2861), (2940), (2961), (3132) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) all_6_20 = e3 | all_6_20 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (2895), (3133) are inconsistent by
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (631), (2949), (3134) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3135) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_10_3 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (3136) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) e1 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3137) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3138) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3139) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_10_7 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (3140) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_4_7 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3141) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_4_7 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (3142) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) ~ (all_4_9 = e0)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (3142) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) ~ (all_4_17 = e0)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_4_17 = e0)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (3142) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) ~ (e2 = e0)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3142) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) op(e0, e3) = all_8_25
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3142) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) op(e2, e3) = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2932) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_6_13 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3149) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_4_17 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3150) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_4_17 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (3151) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3152) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) ~ (all_6_13 = e4)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3154) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_6_13 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3155) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_4_17 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3156) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_4_17 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3157) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_10_11 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (3157) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) ~ (all_4_2 = e1)
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (3157) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) op(e1, e2) = all_8_29
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_10_20 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (3161) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_4_4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (3162) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) op(e0, e4) = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_10_20 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3161), (3164) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) e4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3165) implies:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) e4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3166) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3167) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_10_21 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3169) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_4_9 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (3170) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) op(e0, e3) = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_10_9 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3172) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_4_15 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3173) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) op(e0, e4) = all_8_5
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3173) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) op(e4, e1) = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_25,
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (3147), (3171) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_8_25 = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_5,
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (3163), (3174) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_8_5 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_29,
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (3160) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_8_29 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2944) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) unit = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (3175), (3179), (function-axioms) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) unit = e3 | unit = e1 | unit = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) unit = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (3181), (function-axioms) are
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) unit = e3 | unit = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3182) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) unit = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (15), (2402), (3148), (3183),
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) unit = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3184) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) op(e0, e4) = e4
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3184) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) op(e0, e3) = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e3,
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3171), (3186) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) e4 = e3
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4,
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3163), (3185) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) e4 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3187), (3188) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) e3 = e1
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3189) imply:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) $false
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3190) is inconsistent.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3191) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_10_10 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2846), (3192) are inconsistent by sub-proof
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #77.
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_10_11 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3158), (3194) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #174.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_10_15 = e0 | all_10_23 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (343), (515), (554), (618), (3195) are
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (343), (554), (561), (612), (2378), (3196)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #70.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) ~ (all_10_20 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (3197) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) ~ (all_4_4 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2942) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_6_20 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3199) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_4_4 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3200) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) ~ (all_4_2 = e4)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (2861), (2940), (3159), (3201) are
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (2895), (3198), (3202) are
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_6_13 = e3 | all_6_13 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3203) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_6_13 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3204) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_4_17 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3205) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_4_17 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (3206) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3207) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_6_13 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (3208) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_4_17 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3209) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) all_4_17 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3145), (3210) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3211) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_10_13 = e0 | all_10_21 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3212) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_10_13 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2395), (3213) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_10_21 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (617), (3214) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #87.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_10_24 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (3215) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) e1 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3216) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3217) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_6_19 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (563), (3219) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3220) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_6_19 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3221) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_4_23 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (3222) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_10_19 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (363), (515), (544), (2384), (2395),
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218), (3223) are inconsistent by sub-proof #224.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_6_19 = e3 | all_6_19 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (556), (2876), (3224) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (619), (2369), (2874), (3225) are
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | (3226) all_6_9 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (620), (3226) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | #220.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | (3227) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (388), (491), (554), (620), (627),
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | (2347), (2836), (2846), (3227) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | (3228) all_10_17 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (388), (2831), (3228) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | sub-proof #266.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | End of split
% 72.27/10.73 | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | (3229) ~ (all_6_16 = e2)
% 72.27/10.73 | | | | | | | | | | | (3230) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 |
% 72.27/10.73 | | | | | | | | | | | all_6_16 = e0
% 72.27/10.73 | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | REDUCE: (479), (3229) imply:
% 72.27/10.73 | | | | | | | | | | | (3231) ~ (all_4_8 = e2)
% 72.27/10.73 | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | BETA: splitting (307) gives:
% 72.27/10.73 | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | (3232) all_10_12 = e2
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | REF_CLOSE: (369), (523), (3232) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | #151.
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | (3233) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 72.27/10.73 | | | | | | | | | | | | all_10_19 = e2
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | BETA: splitting (3233) gives:
% 72.27/10.73 | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | (3234) all_10_13 = e2
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | REF_CLOSE: (366), (3231), (3234) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | sub-proof #150.
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | (3235) ~ (all_10_13 = e2)
% 72.27/10.73 | | | | | | | | | | | | | (3236) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | BETA: splitting (327) gives:
% 72.27/10.73 | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | (3237) all_10_1 = e2
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | COMBINE_EQS: (412), (3237) imply:
% 72.27/10.73 | | | | | | | | | | | | | | (3238) all_4_5 = e2
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | REDUCE: (527), (3238) imply:
% 72.27/10.73 | | | | | | | | | | | | | | (3239) $false
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | CLOSE: (3239) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | (3240) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 72.27/10.73 | | | | | | | | | | | | | | all_10_21 = e2
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 72.27/10.73 | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | (3241) all_10_3 = e2
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | REF_CLOSE: (17), (627), (3241) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | #80.
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | (3242) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | BETA: splitting (3242) gives:
% 72.27/10.73 | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | (3243) all_10_7 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (3243) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | (3244) all_4_7 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | REDUCE: (81), (3244) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | (3245) ~ (all_4_17 = e2)
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | SIMP: (3245) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | (3246) ~ (all_4_17 = e2)
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | BETA: splitting (3230) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | (3247) all_6_16 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3247) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | (3248) all_4_8 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | REDUCE: (539), (3248) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | (3249) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | CLOSE: (3249) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | (3250) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | BETA: splitting (325) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3251) all_10_1 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (3251) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3252) all_4_5 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (95), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3253) ~ (all_4_8 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (92), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3254) ~ (all_4_15 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | SIMP: (3254) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3255) ~ (all_4_15 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (91), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3256) ~ (all_4_20 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (527), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3257) ~ (e2 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (629), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3258) ~ (e1 = e0)
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (151), (3252) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | (3259) op(e4, e3) = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | (3260) all_6_3 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (3260) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | #259.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | (3261) ~ (all_6_3 = e2)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | (3262) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (3262) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | (3263) all_6_3 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (3263) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | #200.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | (3264) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | (3265) all_10_9 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (531), (3265) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | #66.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | (3266) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3236) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | (3267) all_10_14 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (3267) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | (3268) e2 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3268) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | (3269) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3269) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | (3270) all_10_15 = e2 | all_10_19 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3270) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3271) all_10_15 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (3271) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3272) e4 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3272) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3273) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3273) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3274) all_10_19 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (3274) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3275) all_4_23 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3275) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3276) all_4_23 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (3276) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_4_21 = e2)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (3276) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3278) ~ (all_4_22 = e2)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (3276) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | (3279) op(e2, e0) = all_8_47
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_6_9 = e2
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3277), (3280) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #149.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_10_12 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (3282) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_4_3 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3283) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_4_3 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3284) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3285) ~ (all_4_2 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (3284) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3286) ~ (all_4_4 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3286) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (3287) ~ (all_4_4 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3250) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) all_6_16 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3288) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_4_8 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (3289) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) $false
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3290) is inconsistent.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) ~ (all_6_16 = e1)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_6_16 = e3 | all_6_16 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3281) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_6_9 = e4
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (2353), (3293) are inconsistent by
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3294) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_6_9 = e1
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (641), (3295) are inconsistent by sub-proof
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221.
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) all_6_9 = e3 | all_6_9 = e0
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3296) gives:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_6_9 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3297) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_4_21 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3298) implies:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_4_21 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (3299) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_10_17 = e3
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3299) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) ~ (all_4_1 = e3)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (3299) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) ~ (all_4_20 = e3)
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (3299) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) op(e3, e3) = all_8_18
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (3299) imply:
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) op(e3, e0) = all_8_19
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3299) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) op(e3, e0) = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_6_4 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (3306) are inconsistent by sub-proof
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) ~ (all_6_4 = e2)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3308) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_6_4 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (3309) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_4_20 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3310) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) all_4_20 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3311) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_10_16 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_6_14 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (3278), (3313) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) ~ (all_6_14 = e2)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3264) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_6_3 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2367), (3316) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_6_3 = e3 | all_6_3 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3266) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_10_10 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (3318) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) all_4_16 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3319) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_4_16 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_10_16 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3312), (3321) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) e4 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3322) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) $false
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3323) is inconsistent.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_10_2 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3325) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_4_1 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3326) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_4_1 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (3327) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) ~ (all_4_2 = e0)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3328) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) ~ (all_4_2 = e0)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3327) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) ~ (all_4_4 = e0)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) all_6_10 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (521), (3331) are inconsistent by sub-proof
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #257.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) ~ (all_6_10 = e2)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3292) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) all_6_16 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3334) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_4_8 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3335) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_4_8 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3336) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) op(e3, e3) = all_8_38
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3333) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_6_10 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3338) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_4_2 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3339) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_4_2 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3340) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) ~ (all_4_4 = e4)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3341) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) ~ (all_4_4 = e4)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (3340) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) ~ (all_4_22 = e4)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3343) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) ~ (all_4_22 = e4)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_6_20 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3345) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_4_4 = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (3346) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) $false
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3347) is inconsistent.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_6_20 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3349) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_4_4 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3350) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) $false
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3351) is inconsistent.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3324) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_10_17 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (3353) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) e3 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3354) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) $false
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3355) is inconsistent.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_10_18 = e1 | all_10_19 = e1 | all_10_24 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3356) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_10_18 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (3357) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_4_22 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3278), (3358) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) ~ (e2 = e1)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (3358) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) op(e1, e2) = all_8_31
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (3358) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) op(e2, e0) = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_10_0 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (2384), (3362) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_10_20 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (400), (534), (3282), (3301),
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363), (3364) are inconsistent by sub-proof #89.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_10_21 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3366) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_4_9 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3367) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_4_9 = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (3368) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) op(e4, e3) = all_8_53
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3352) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_6_20 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3287), (3370) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_6_20 = e3 | all_6_20 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3371) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_6_20 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3372) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_4_4 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3373) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_4_4 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3374) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) op(e3, e0) = all_8_48
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_10_9 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3376) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_4_15 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3377) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) op(e4, e1) = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_31,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (3360) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) all_8_31 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_47,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3279), (3361) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_8_47 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_48,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19, e0, e3, simplifying with (3304), (3375)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_8_19 = all_8_48
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_19,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (3304), (3305) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_8_19 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_18,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (643), (3303) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_8_18 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_38,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18, e3, e3, simplifying with (3303), (3337)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_8_18 = all_8_38
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_53,
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (3259), (3369) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_8_53 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3383), (3384) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_8_38 = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3381), (3382) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_8_48 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3387) implies:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_8_48 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) unit = e2
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (3389), (function-axioms) are
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3390) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) unit = e4
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10), (15), (3259), (3378), (3391),
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) unit = e3 | unit = e1 | unit = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3392) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) unit = e1
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (3393), (function-axioms) are
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) unit = e3 | unit = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (15), (17), (643), (3305), (3361),
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394), (function-axioms) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #129.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) ~ (all_10_9 = e3)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (3395) imply:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) ~ (all_4_15 = e3)
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3317) gives:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_6_3 = e3
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (3396), (3397) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_6_3 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (3255), (3398) are inconsistent by
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_6_20 = e0
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (616), (3399) are inconsistent by sub-proof
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 72.27/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (343), (554), (561), (612), (2378), (3400)
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #70.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) ~ (all_10_18 = e1)
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (3401) imply:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) ~ (all_4_22 = e1)
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (621), (3315), (3344), (3402) are
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (3285), (3329), (3403) are
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_6_16 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (538), (3404) are inconsistent by sub-proof
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #95.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (388), (491), (554), (620), (627),
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347), (3296), (3318), (3405) are inconsistent by
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3406) gives:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) all_10_11 = e2
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (3246), (3407) are inconsistent by
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_10_15 = e2 | all_10_23 = e2
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (343), (515), (2381), (3408) are
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (619), (2369), (3302), (3409) are
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_6_9 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (620), (3410) are inconsistent by sub-proof
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (366), (479), (515),
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | (538), (633), (3250), (3274), (3411) are
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.74 | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | (3412) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | all_10_21 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | BETA: splitting (3412) gives:
% 72.68/10.74 | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | (3413) all_10_3 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (627), (3413) imply:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | (3414) e1 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3414) imply:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | (3415) $false
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | CLOSE: (3415) is inconsistent.
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | (3416) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (3250) gives:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | (3417) all_6_16 = e1
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3417) imply:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | (3418) all_4_8 = e1
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (3418) imply:
% 72.68/10.74 | | | | | | | | | | | | | | | | | | | | (3419) $false
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | CLOSE: (3419) is inconsistent.
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | (3420) all_6_16 = e3 | all_6_16 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3420) gives:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3421) all_6_16 = e3
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3421) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3422) all_4_8 = e3
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3422) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3423) all_10_13 = e3
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3416) gives:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | (3424) all_10_7 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3243), (3424) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | (3425) e2 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3425) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | (3426) $false
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3426) is inconsistent.
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | (3427) all_10_13 = e0 | all_10_21 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3427) gives:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | (3428) all_10_13 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3423), (3428) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | (3429) e3 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3429) implies:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | (3430) e3 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (3430) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | (3431) $false
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3431) is inconsistent.
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | (3432) all_10_21 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (617), (3432) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | | #87.
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3433) all_6_16 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (3433) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3434) all_4_8 = e0
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (3434) imply:
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | (3435) $false
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3435) is inconsistent.
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | (3436) all_10_13 = e2 | all_10_21 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | BETA: splitting (3436) gives:
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | (3437) all_10_13 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (3231), (3437) are inconsistent by
% 72.68/10.75 | | | | | | | | | | | | | | | | | sub-proof #150.
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | (3438) all_10_21 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (2379), (3438) are inconsistent by
% 72.68/10.75 | | | | | | | | | | | | | | | | | sub-proof #264.
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | (3439) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 72.68/10.75 | | | | | | | | | | all_6_22 = e0
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | REF_CLOSE: (69), (471), (493), (540), (541), (546), (552),
% 72.68/10.75 | | | | | | | | | | (2351), (2358), (3439) are inconsistent by
% 72.68/10.75 | | | | | | | | | | sub-proof #167.
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | End of split
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | (3440) all_6_2 = e3 | all_6_2 = e0
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | REF_CLOSE: (471), (540), (541), (3440) are inconsistent by
% 72.68/10.75 | | | | | | | | | sub-proof #218.
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | End of split
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | End of split
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | Case 2:
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | (3441) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | REF_CLOSE: (474), (542), (543), (637), (3441) are inconsistent by
% 72.68/10.75 | | | | | | | sub-proof #63.
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | End of split
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | End of split
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | End of split
% 72.68/10.75 | | | |
% 72.68/10.75 | | | Case 2:
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | (3442) all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | BETA: splitting (3442) gives:
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | Case 1:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | (3443) all_8_67 = e1
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | REF_CLOSE: (18), (434), (3443) are inconsistent by sub-proof #62.
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | Case 2:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | (3444) all_8_68 = e1 | all_8_69 = e1
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | BETA: splitting (3444) gives:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | Case 1:
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | (3445) all_8_68 = e1
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | REF_CLOSE: (19), (357), (3445) are inconsistent by sub-proof #61.
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | Case 2:
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | (3446) all_8_69 = e1
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | COMBINE_EQS: (615), (3446) imply:
% 72.68/10.75 | | | | | | (3447) e1 = e0
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | REDUCE: (15), (3447) imply:
% 72.68/10.75 | | | | | | (3448) $false
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | CLOSE: (3448) is inconsistent.
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | End of split
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | End of split
% 72.68/10.75 | | | |
% 72.68/10.75 | | | End of split
% 72.68/10.75 | | |
% 72.68/10.75 | | End of split
% 72.68/10.75 | |
% 72.68/10.75 | Case 2:
% 72.68/10.75 | |
% 72.68/10.75 | | (3449) ~ (all_10_24 = e0)
% 72.68/10.75 | | (3450) (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 =
% 72.68/10.75 | | e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 |
% 72.68/10.75 | | all_10_23 = e0)
% 72.68/10.75 | |
% 72.68/10.75 | | ALPHA: (3450) implies:
% 72.68/10.75 | | (3451) all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 72.68/10.75 | | (3452) all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 72.68/10.75 | |
% 72.68/10.75 | | REDUCE: (340), (3449) imply:
% 72.68/10.75 | | (3453) ~ (all_4_24 = e0)
% 72.68/10.75 | |
% 72.68/10.75 | | BETA: splitting (269) gives:
% 72.68/10.75 | |
% 72.68/10.75 | | Case 1:
% 72.68/10.75 | | |
% 72.68/10.75 | | | (3454) all_8_65 = e0
% 72.68/10.75 | | |
% 72.68/10.75 | | | COMBINE_EQS: (418), (3454) imply:
% 72.68/10.75 | | | (3455) e2 = e0
% 72.68/10.75 | | |
% 72.68/10.75 | | | SIMP: (3455) implies:
% 72.68/10.75 | | | (3456) e2 = e0
% 72.68/10.75 | | |
% 72.68/10.75 | | | REDUCE: (16), (3456) imply:
% 72.68/10.75 | | | (3457) $false
% 72.68/10.75 | | |
% 72.68/10.75 | | | CLOSE: (3457) is inconsistent.
% 72.68/10.75 | | |
% 72.68/10.75 | | Case 2:
% 72.68/10.75 | | |
% 72.68/10.75 | | | (3458) all_8_66 = e0 | all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0
% 72.68/10.75 | | |
% 72.68/10.75 | | | BETA: splitting (3458) gives:
% 72.68/10.75 | | |
% 72.68/10.75 | | | Case 1:
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | (3459) all_8_66 = e0
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | COMBINE_EQS: (424), (3459) imply:
% 72.68/10.75 | | | | (3460) all_4_6 = e0
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | SIMP: (3460) implies:
% 72.68/10.75 | | | | (3461) all_4_6 = e0
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | COMBINE_EQS: (397), (3461) imply:
% 72.68/10.75 | | | | (3462) all_10_3 = e0
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (116), (3461) imply:
% 72.68/10.75 | | | | (3463) ~ (all_4_1 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (97), (3461) imply:
% 72.68/10.75 | | | | (3464) ~ (all_4_5 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (90), (3461) imply:
% 72.68/10.75 | | | | (3465) ~ (all_4_7 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | SIMP: (3465) implies:
% 72.68/10.75 | | | | (3466) ~ (all_4_7 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (89), (3461) imply:
% 72.68/10.75 | | | | (3467) ~ (all_4_8 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (88), (3461) imply:
% 72.68/10.75 | | | | (3468) ~ (all_4_9 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | SIMP: (3468) implies:
% 72.68/10.75 | | | | (3469) ~ (all_4_9 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (87), (3461) imply:
% 72.68/10.75 | | | | (3470) ~ (all_4_11 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (86), (3461) imply:
% 72.68/10.75 | | | | (3471) ~ (all_4_16 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | SIMP: (3471) implies:
% 72.68/10.75 | | | | (3472) ~ (all_4_16 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (85), (3461) imply:
% 72.68/10.75 | | | | (3473) ~ (all_4_21 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | SIMP: (3473) implies:
% 72.68/10.75 | | | | (3474) ~ (all_4_21 = e0)
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (604), (3461) imply:
% 72.68/10.75 | | | | (3475) op(e0, e3) = all_8_13
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | REDUCE: (146), (3461) imply:
% 72.68/10.75 | | | | (3476) op(e3, e3) = e0
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | BETA: splitting (270) gives:
% 72.68/10.75 | | | |
% 72.68/10.75 | | | | Case 1:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | (3477) all_8_65 = e1
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | REF_CLOSE: (17), (418), (3477) are inconsistent by sub-proof #268.
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | Case 2:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | (3478) all_8_66 = e1 | all_8_67 = e1 | all_8_68 = e1 | all_8_69 =
% 72.68/10.75 | | | | | e1
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | BETA: splitting (3478) gives:
% 72.68/10.75 | | | | |
% 72.68/10.75 | | | | | Case 1:
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | (3479) all_8_66 = e1
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | COMBINE_EQS: (3459), (3479) imply:
% 72.68/10.75 | | | | | | (3480) e1 = e0
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | REDUCE: (15), (3480) imply:
% 72.68/10.75 | | | | | | (3481) $false
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | CLOSE: (3481) is inconsistent.
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | Case 2:
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | (3482) all_8_67 = e1 | all_8_68 = e1 | all_8_69 = e1
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | BETA: splitting (3482) gives:
% 72.68/10.75 | | | | | |
% 72.68/10.75 | | | | | | Case 1:
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | (3483) all_8_67 = e1
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | REF_CLOSE: (18), (434), (3483) are inconsistent by sub-proof #62.
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | Case 2:
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | (3484) ~ (all_8_67 = e1)
% 72.68/10.75 | | | | | | | (3485) all_8_68 = e1 | all_8_69 = e1
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | BETA: splitting (3485) gives:
% 72.68/10.75 | | | | | | |
% 72.68/10.75 | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | (3486) all_8_68 = e1
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REF_CLOSE: (19), (357), (3486) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | #61.
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | (3487) all_8_69 = e1
% 72.68/10.75 | | | | | | | | (3488) ~ (all_8_68 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | COMBINE_EQS: (466), (3487) imply:
% 72.68/10.75 | | | | | | | | (3489) all_4_24 = e1
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | SIMP: (3489) implies:
% 72.68/10.75 | | | | | | | | (3490) all_4_24 = e1
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | COMBINE_EQS: (340), (3490) imply:
% 72.68/10.75 | | | | | | | | (3491) all_10_24 = e1
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (98), (3490) imply:
% 72.68/10.75 | | | | | | | | (3492) ~ (all_4_4 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (73), (3490) imply:
% 72.68/10.75 | | | | | | | | (3493) ~ (all_4_9 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (53), (3490) imply:
% 72.68/10.75 | | | | | | | | (3494) ~ (all_4_14 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (38), (3490) imply:
% 72.68/10.75 | | | | | | | | (3495) ~ (all_4_19 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (34), (3490) imply:
% 72.68/10.75 | | | | | | | | (3496) ~ (all_4_20 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (31), (3490) imply:
% 72.68/10.75 | | | | | | | | (3497) ~ (all_4_21 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (29), (3490) imply:
% 72.68/10.75 | | | | | | | | (3498) ~ (all_4_22 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (28), (3490) imply:
% 72.68/10.75 | | | | | | | | (3499) ~ (all_4_23 = e1)
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (607), (3490) imply:
% 72.68/10.75 | | | | | | | | (3500) op(e1, e0) = all_8_64
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | REDUCE: (128), (3490) imply:
% 72.68/10.75 | | | | | | | | (3501) op(e0, e0) = e1
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9,
% 72.68/10.75 | | | | | | | | all_8_13, e3, e0, simplifying with (131), (3475)
% 72.68/10.75 | | | | | | | | gives:
% 72.68/10.75 | | | | | | | | (3502) all_8_13 = all_4_9
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_23,
% 72.68/10.75 | | | | | | | | all_8_64, e0, e1, simplifying with (133), (3500)
% 72.68/10.75 | | | | | | | | gives:
% 72.68/10.75 | | | | | | | | (3503) all_8_64 = all_4_23
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | BETA: splitting (196) gives:
% 72.68/10.75 | | | | | | | |
% 72.68/10.75 | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | (3504) all_6_2 = e2
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | REF_CLOSE: (471), (529), (3504) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | | #267.
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | (3505) ~ (all_6_2 = e2)
% 72.68/10.75 | | | | | | | | | (3506) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2
% 72.68/10.75 | | | | | | | | | = e0
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | BETA: splitting (185) gives:
% 72.68/10.75 | | | | | | | | |
% 72.68/10.75 | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | (3507) all_6_15 = e2
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | COMBINE_EQS: (475), (3507) imply:
% 72.68/10.75 | | | | | | | | | | (3508) all_4_3 = e2
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | SIMP: (3508) implies:
% 72.68/10.75 | | | | | | | | | | (3509) all_4_3 = e2
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | REDUCE: (523), (3509) imply:
% 72.68/10.75 | | | | | | | | | | (3510) $false
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | CLOSE: (3510) is inconsistent.
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | (3511) ~ (all_6_15 = e2)
% 72.68/10.75 | | | | | | | | | | (3512) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 |
% 72.68/10.75 | | | | | | | | | | all_6_15 = e0
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | BETA: splitting (180) gives:
% 72.68/10.75 | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | (3513) all_6_22 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | COMBINE_EQS: (493), (3513) imply:
% 72.68/10.75 | | | | | | | | | | | (3514) all_4_14 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | SIMP: (3514) implies:
% 72.68/10.75 | | | | | | | | | | | (3515) all_4_14 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | COMBINE_EQS: (461), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3516) all_8_58 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | COMBINE_EQS: (608), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3517) all_8_42 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | COMBINE_EQS: (346), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3518) all_10_22 = e2
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | REDUCE: (75), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3519) ~ (all_4_9 = e2)
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | REDUCE: (64), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3520) ~ (all_4_11 = e2)
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | REDUCE: (54), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3521) ~ (all_4_19 = e2)
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | SIMP: (3521) implies:
% 72.68/10.75 | | | | | | | | | | | (3522) ~ (all_4_19 = e2)
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | REDUCE: (595), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3523) op(e2, e2) = all_8_57
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | REDUCE: (596), (3515) imply:
% 72.68/10.75 | | | | | | | | | | | (3524) op(e2, e0) = all_8_56
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 72.68/10.75 | | | | | | | | | | | all_8_56, e0, e2, simplifying with (138), (3524)
% 72.68/10.75 | | | | | | | | | | | gives:
% 72.68/10.75 | | | | | | | | | | | (3525) all_8_56 = all_4_22
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_57,
% 72.68/10.75 | | | | | | | | | | | e2, e2, simplifying with (24), (3523) gives:
% 72.68/10.75 | | | | | | | | | | | (3526) all_8_57 = e3
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | BETA: splitting (183) gives:
% 72.68/10.75 | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | (3527) all_6_19 = e2
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | COMBINE_EQS: (498), (3527) imply:
% 72.68/10.75 | | | | | | | | | | | | (3528) all_4_23 = e2
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | COMBINE_EQS: (355), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3529) all_10_19 = e2
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | REDUCE: (76), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3530) ~ (all_4_8 = e2)
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | REDUCE: (32), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3531) ~ (all_4_21 = e2)
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | REDUCE: (601), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3532) op(e2, e1) = all_8_46
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | REDUCE: (602), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3533) op(e2, e0) = all_8_47
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | REDUCE: (133), (3528) imply:
% 72.68/10.75 | | | | | | | | | | | | (3534) op(e1, e0) = e2
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | BETA: splitting (327) gives:
% 72.68/10.75 | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | (3535) all_10_1 = e2
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | COMBINE_EQS: (412), (3535) imply:
% 72.68/10.75 | | | | | | | | | | | | | (3536) all_4_5 = e2
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | REDUCE: (527), (3536) imply:
% 72.68/10.75 | | | | | | | | | | | | | (3537) $false
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | CLOSE: (3537) is inconsistent.
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | (3538) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 72.68/10.75 | | | | | | | | | | | | | all_10_21 = e2
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | BETA: splitting (3538) gives:
% 72.68/10.75 | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | (3539) all_10_3 = e2
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | REF_CLOSE: (16), (3462), (3539) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | | | | | | | #60.
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | (3540) ~ (all_10_3 = e2)
% 72.68/10.75 | | | | | | | | | | | | | | (3541) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | REDUCE: (3462), (3540) imply:
% 72.68/10.75 | | | | | | | | | | | | | | (3542) ~ (e2 = e0)
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 72.68/10.75 | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | (3543) all_10_2 = e2
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | REF_CLOSE: (400), (519), (3543) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | | | | | | | | #81.
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | (3544) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 72.68/10.75 | | | | | | | | | | | | | | | all_10_17 = e2
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | BETA: splitting (3544) gives:
% 72.68/10.75 | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | (3545) all_10_3 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3462), (3545) are inconsistent by sub-proof
% 72.68/10.75 | | | | | | | | | | | | | | | | #60.
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | (3546) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | BETA: splitting (3546) gives:
% 72.68/10.75 | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | (3547) all_10_5 = e2
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (517), (3520), (3547) are inconsistent by
% 72.68/10.75 | | | | | | | | | | | | | | | | | sub-proof #59.
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.75 | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.75 | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | (3548) all_10_10 = e2 | all_10_17 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | BETA: splitting (3548) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3549) all_10_10 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (3549) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3550) all_4_16 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | SIMP: (3550) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3551) all_4_16 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | REDUCE: (44), (3551) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3552) ~ (all_4_21 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | REDUCE: (558), (3551) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3553) ~ (e4 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | REDUCE: (583), (3551) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3554) op(e2, e1) = all_8_17
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | REDUCE: (144), (3551) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | (3555) op(e3, e1) = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | (3556) all_10_6 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (521), (3556) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | #147.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | (3557) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | all_10_18 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (3557) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3558) all_10_7 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (3558) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3559) all_4_7 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3560) ~ (all_4_8 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3561) ~ (all_4_9 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3562) ~ (all_4_17 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | SIMP: (3562) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3563) ~ (all_4_17 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3564) ~ (all_4_22 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | SIMP: (3564) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3565) ~ (all_4_22 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3566) ~ (e3 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | SIMP: (3566) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3567) ~ (e3 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (3559) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3568) op(e2, e2) = all_8_24
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | all_8_47, e0, e2, simplifying with (138), (3533)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3569) all_8_47 = all_4_22
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | all_8_17, e1, e2, simplifying with (139), (3554)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3570) all_8_17 = all_4_17
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_46,
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | all_8_17, e1, e2, simplifying with (3532), (3554)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3571) all_8_17 = all_8_46
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_24,
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (24), (3568) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3572) all_8_24 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3570), (3571) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | (3573) all_8_46 = all_4_17
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | (3574) all_6_23 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3574) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | (3575) all_4_19 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3522), (3575) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | (3576) $false
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3576) is inconsistent.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | (3577) ~ (all_6_23 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | (3578) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | (3579) all_6_16 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (3530), (3579) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | (3580) ~ (all_6_16 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | (3581) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | (3582) all_6_9 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3531), (3582) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #149.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | (3583) ~ (all_6_9 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | (3584) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_6_14 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3585) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_4_22 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3565), (3586) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | (3587) $false
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3587) is inconsistent.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | (3588) ~ (all_6_14 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | (3589) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_6_7 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (3520), (3590) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | (3591) ~ (all_6_7 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_6_21 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3519), (3593) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) ~ (all_6_21 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) unit = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (3596), (function-axioms) are
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) all_6_3 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (3598) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) ~ (all_6_3 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) all_6_5 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (519), (3601) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #258.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) ~ (all_6_5 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_6_4 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (3604) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) ~ (all_6_4 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_6_20 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3607) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) all_4_4 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (3608) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) $false
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3609) is inconsistent.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) ~ (all_6_20 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_6_10 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3612) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_4_2 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (3613) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) $false
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3614) is inconsistent.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) ~ (all_6_10 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_6_1 = e2
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (3617) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) ~ (all_6_1 = e2)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_10_1 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (3620) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_4_5 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3621) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) ~ (all_4_9 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3622) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) ~ (all_4_9 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3621) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) ~ (all_4_10 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3624) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) ~ (all_4_10 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3621) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) ~ (all_4_15 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3621) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) op(e4, e4) = all_8_1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_10_20 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (3628) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_4_4 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3629) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_4_4 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3630) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) ~ (all_4_1 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3630) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) ~ (all_4_2 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (3630) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) op(e4, e4) = all_8_49
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3630) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) op(e4, e0) = all_8_48
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (3630) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) op(e0, e4) = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_10_6 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (3632), (3636) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) ~ (all_10_6 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_6_2 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (3639) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_4_10 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3625), (3640) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) $false
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3641) is inconsistent.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3642) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) all_6_2 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (3643) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_4_10 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (3644) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) ~ (all_4_15 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3645) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) ~ (all_4_15 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (3644) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) ~ (all_4_20 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (3644) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) ~ (e3 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (3644) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) op(e1, e2) = all_8_4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_10_2 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3650) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_4_1 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3651) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_4_1 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (3652) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) ~ (all_4_2 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3653) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) ~ (all_4_2 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (3652) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) ~ (all_4_11 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3655) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) ~ (all_4_11 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3652) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) ~ (all_4_21 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (3652) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) ~ (e2 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3652) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) op(e3, e4) = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_10_9 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (3646), (3660) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_10_20 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (3628), (3662) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_6_15 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (536), (3664) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #55.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) ~ (all_6_15 = e4)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_10_0 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (3567), (3667) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3592) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_6_7 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (3669) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_4_11 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3670) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_4_11 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3671) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) op(e3, e2) = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_10_12 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (3673) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_4_3 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3674) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_4_3 = e3
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3675) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) ~ (e4 = e3)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3675) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) op(e3, e4) = all_8_34
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3661) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_10_10 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3549), (3678) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3638) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_10_7 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3558), (3680) are inconsistent by sub-proof
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3616) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_6_10 = e4
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (3632), (3682) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3683) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_6_10 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (3654), (3684) are inconsistent by
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #242.
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_6_10 = e3 | all_6_10 = e0
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3679) gives:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_10_11 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3686) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_4_17 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3687) implies:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_4_17 = e1
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (3688) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) ~ (e4 = e1)
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (3688) imply:
% 72.68/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) op(e1, e2) = all_8_29
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_10_21 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (3469), (3691) are inconsistent by
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_10_22 = e0 | all_10_23 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3685) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_6_10 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3693) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_4_2 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (3694) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3695) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_6_10 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (3696) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_4_2 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (3697) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) op(e0, e4) = all_8_21
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3681) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_10_8 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (3699) are inconsistent by sub-proof
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_10_11 = e4 | all_10_18 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3700) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_10_11 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3686), (3701) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) e4 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3702) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3703) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_10_18 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (3704) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_4_22 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3705) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) ~ (all_4_20 = e4)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (3705) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) ~ (all_4_21 = e4)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (3705) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) op(e4, e0) = all_8_32
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (3705) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) op(e2, e0) = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_10_9 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3710) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_4_15 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3711) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) op(e3, e4) = all_8_5
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_10_16 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3713) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_4_20 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (3714) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) op(e0, e4) = all_8_7
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3714) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) op(e4, e0) = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (3698), (3715)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_8_7 = all_8_21
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_7,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (3635), (3715) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_8_7 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (3649) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_8_4 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_29,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_4, e2, e1, simplifying with (3649), (3690)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_8_4 = all_8_29
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_34,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e3, simplifying with (3677), (3712)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_8_5 = all_8_34
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_5,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (3659), (3712) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_8_5 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_48,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32, e0, e4, simplifying with (3634), (3708)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_8_32 = all_8_48
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (3708), (3716) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_8_32 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (3627) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_8_1 = e2
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e4, simplifying with (3627), (3633)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_8_1 = all_8_49
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3725), (3726) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_8_49 = e2
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3719), (3720) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_8_29 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3728) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_8_29 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3721), (3722) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_8_34 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3730) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_8_34 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3717), (3718) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_8_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3732) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_8_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3723), (3724) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_8_48 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3734) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_8_48 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) unit = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (16), (25), (3635), (3736),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) unit = e3 | unit = e1 | unit = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3737) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) unit = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (3738), (function-axioms) are
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) ~ (unit = e1)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) unit = e3 | unit = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) unit = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3741) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) op(e3, e4) = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3741) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) op(e3, e2) = e2
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3659), (3672), (3742), (3743),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) unit = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3739), (3744) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) ~ (e1 = e0)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3744) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) op(e4, e0) = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3744) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) op(e2, e0) = e2
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3744) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) op(e1, e0) = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3534), (3709), (3716), (3746), (3747),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748), (function-axioms) are inconsistent by
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) ~ (all_10_16 = e0)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (3749) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) ~ (all_4_20 = e0)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (491), (3474), (3496), (3497),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584), (3606), (3706), (3707), (3750) are
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) ~ (all_10_9 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (3751) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) ~ (all_4_15 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (49), (343), (477), (557), (3518), (3600),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646), (3692), (3752) are inconsistent by
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_10_15 = e1 | all_10_23 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (343), (515), (3495), (3753) are
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) ~ (all_10_12 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (3754) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_4_3 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3668) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_10_2 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3650), (3756) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) e3 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3757) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3758) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3666) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_6_15 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (3760) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_4_3 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3761) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_4_3 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (3762) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_10_12 = e1
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (534), (3628), (3759), (3763)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_6_15 = e3 | all_6_15 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3764) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_6_15 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (3765) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_4_3 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3766) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_4_3 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3755), (3767) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3768) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_6_15 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (535), (3769) are inconsistent by sub-proof
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (542), (543), (3656), (3770) are
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) ~ (all_10_2 = e1)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (3771) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) ~ (all_4_1 = e1)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (118), (308), (363), (366), (369), (468),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (515), (3463), (3469), (3493), (3519),
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529), (3595), (3603), (3623), (3631), (3772) are
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_6_2 = e3 | all_6_2 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (3773) are inconsistent by
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3774) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_10_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3775) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_4_9 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3776) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_4_9 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3623), (3777) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3778) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (343), (561), (3491), (3518), (3779)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #44.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_10_3 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3462), (3781) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) e4 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3782) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) e4 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3783) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3784) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3785) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_10_7 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3558), (3786) are inconsistent by sub-proof
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_10_13 = e4 | all_10_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3787) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_10_13 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3788) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_4_8 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3789) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_4_8 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (3790) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) $false
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3791) is inconsistent.
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_10_21 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3792) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_4_9 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3793) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_4_9 = e4
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (3794) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) ~ (all_4_4 = e4)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3794) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) ~ (all_4_5 = e4)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (3794) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) op(e4, e3) = all_8_53
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3794) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) op(e4, e0) = all_8_52
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52, e0, e4, simplifying with (148), (3798)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_8_52 = all_4_20
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53, e3, e4, simplifying with (151), (3797)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_8_53 = all_4_5
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_10_9 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3801) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_4_15 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3802) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_4_15 = e3
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3803) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) ~ (all_4_5 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (3803) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) ~ (all_4_20 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3805) implies:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) ~ (all_4_20 = e3)
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3803) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) op(e3, e4) = all_8_5
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3803) imply:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) op(e3, e1) = all_8_6
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_10_0 = e0
% 72.68/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (3809) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) e2 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3810) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3811) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3812) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_10_1 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (3813) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_4_5 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3464), (3814) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3815) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_6_23 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (561), (3817) are inconsistent by sub-proof
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #120.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_6_23 = e3 | all_6_23 = e1 | all_6_23 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3818) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_6_23 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (3495), (3819) are inconsistent by
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) ~ (all_6_23 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_6_23 = e3 | all_6_23 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3816) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_10_4 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3822) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_4_10 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3823) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_4_10 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (3824) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3825) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_10_9 = e0 | all_10_16 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_10_16 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3827) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_4_20 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3806), (3828) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3829) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3826) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_10_9 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3801), (3831) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) e3 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3832) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) e3 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (3833) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3834) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_10_16 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3835) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) all_4_20 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3836) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) ~ (all_4_22 = e0)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3837) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) ~ (all_4_22 = e0)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (3836) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) op(e0, e4) = all_8_7
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3836) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) op(e0, e0) = all_8_8
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3836) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) op(e4, e0) = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_10_0 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (3842) are inconsistent by sub-proof
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_10_1 = e4 | all_10_4 = e4 | all_10_9 = e4 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_10_1 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (3844) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_4_5 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3796), (3845) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) $false
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3846) is inconsistent.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) ~ (all_10_1 = e4)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_10_4 = e4 | all_10_9 = e4 | all_10_16 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3848) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_10_4 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3849) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_4_10 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3850) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_4_10 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3851) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) ~ (all_4_11 = e4)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3852) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) ~ (all_4_11 = e4)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (3851) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) op(e4, e4) = all_8_3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_6_1 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3796), (3855) are inconsistent by
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) ~ (all_6_1 = e4)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_10_4 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3849), (3858) are inconsistent by sub-proof
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) ~ (all_10_4 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_10_9 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3801), (3861) are inconsistent by sub-proof
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3862) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_10_10 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3549), (3863) are inconsistent by sub-proof
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #54.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3830) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_10_17 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (3865) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_4_21 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3866) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) ~ (all_4_1 = e3)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (3866) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) op(e3, e3) = all_8_18
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3592) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_6_7 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (3853), (3869) are inconsistent by
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_10_20 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (3871) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_4_4 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3872) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_4_4 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (3873) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) ~ (all_4_3 = e3)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (3873) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) ~ (all_4_19 = e3)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3875) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) ~ (all_4_19 = e3)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (3873) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) op(e3, e4) = all_8_49
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (3873) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) op(e0, e4) = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_10_12 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (3874), (3879) are inconsistent by
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3857) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_6_1 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (3881) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_4_5 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3882) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_4_5 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3800), (3883) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) all_8_53 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (3883) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) ~ (all_4_8 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3885) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) ~ (all_4_8 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3796), (3883) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) ~ (e4 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (3883) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) ~ (e2 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (3883) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) op(e1, e3) = all_8_2
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_10_12 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (3890) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_4_3 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3891) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_4_3 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3892) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) ~ (all_4_1 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3892) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) ~ (all_4_2 = e1)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (3892) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) op(e1, e1) = all_8_33
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_10_2 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3896) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_4_1 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3897) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_4_1 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (3898) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) op(e4, e4) = all_8_10
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3898) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) op(e3, e4) = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3860) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) all_10_5 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (3901) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) all_4_11 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3902) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) all_4_11 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (3903) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) op(e1, e3) = all_8_14
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3903) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) op(e1, e2) = all_8_15
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) all_6_14 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3906) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_4_22 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3569), (3907) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_8_47 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (3907) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) ~ (all_4_2 = e4)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (3907) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) op(e4, e0) = all_8_32
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3821) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_6_23 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (3876), (3911) are inconsistent by
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119.
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_6_23 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3912) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_4_19 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3913) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) all_4_19 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (3914) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) op(e0, e0) = all_8_60
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) all_10_6 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (3916) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_4_2 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3917) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_4_2 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (3918) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) ~ (all_4_17 = e0)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3919) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) ~ (all_4_17 = e0)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (3918) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) ~ (e3 = e0)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (3918) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) op(e0, e4) = all_8_21
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3864) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_10_11 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3923) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) all_4_17 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3924) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_4_17 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3570), (3925) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_8_17 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (3925) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) op(e1, e2) = all_8_29
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3925) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) op(e1, e1) = all_8_30
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3880) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_10_13 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3929) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_4_8 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3930) implies:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_4_8 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (3931) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) ~ (e4 = e3)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3931) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) op(e3, e3) = all_8_38
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (3931) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) op(e3, e1) = all_8_37
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3931) imply:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) op(e1, e3) = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_8,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3501), (3840) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_8_8 = e1
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_60,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8, e0, e0, simplifying with (3840), (3915)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_8_8 = all_8_60
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (3839), (3922)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_8_7 = all_8_21
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (3839), (3878) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) all_8_7 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_30,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (22), (3928) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) all_8_30 = e4
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_33,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_30, e1, e1, simplifying with (3895), (3928)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) all_8_30 = all_8_33
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (3905) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_8_15 = e0
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_29,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15, e2, e1, simplifying with (3905), (3927)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_8_15 = all_8_29
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e1, simplifying with (3889), (3904)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_8_2 = all_8_14
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_2,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (3889), (3935) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_8_2 = e3
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_6,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3555), (3808) gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_8_6 = e2
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_37,
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, e1, e3, simplifying with (3808), (3934)
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_8_6 = all_8_37
% 72.68/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_18,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (3868) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_8_18 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_38,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18, e3, e3, simplifying with (3868), (3933)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_8_18 = all_8_38
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e3, simplifying with (3807), (3877)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) all_8_5 = all_8_49
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_5,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (3807), (3900) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) all_8_5 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (3841), (3910) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_8_32 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (3854) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_8_3 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e4, simplifying with (3854), (3899)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_8_3 = all_8_10
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3944), (3945) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) all_8_14 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3953), (3954) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_8_10 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3950), (3951) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_8_49 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3957) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_8_49 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3946), (3947) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_8_37 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3938), (3939) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) all_8_21 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3960) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) all_8_21 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3936), (3937) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_8_60 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3962) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_8_60 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3942), (3943) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) all_8_29 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3948), (3949) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) all_8_38 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3965) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_8_38 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3940), (3941) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_8_33 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3967) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) all_8_33 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_14 = e2) & ~ (all_8_26 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3969) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3970) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3971) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3972) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_8_2 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3945), (3973) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) e4 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3974) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) e4 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (3975) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3976) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3977) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) ~ (all_8_3 = e2)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3953), (3978) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3979) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_8 = e4 & ~ (all_8_7 = e0)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 &
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3980) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3981) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_8_6 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3946), (3982) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) e4 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3983) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3984) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3985) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3986) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_8_8 = e4
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3936), (3987) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) e4 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3988) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) e4 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3989) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3990) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3991) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_8_10 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3956), (3992) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) e3 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3993) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) e3 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3567), (3994) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3995) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3996) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3997) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_8_15 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3942), (3999) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) e3 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4000) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) e3 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4001) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4002) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4003) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_8_17 = e3
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3926), (4004) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) e3 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4005) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) e3 = e1
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4006) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4007) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4008) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4009) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) ~ (all_8_18 = e0)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3948), (4010) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4011) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)) | (all_8_25 = e2 & ~ (all_8_24 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_26 = all_8_27))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4012) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4013) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_8_21 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3961), (4014) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) e3 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3567), (4015) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4016) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4017) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) ~ (all_8_24 = e3)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3572), (4018) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4019) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44)) | (all_8_47 = e1 & ~ (all_8_46 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_48 = e4) & ~ (all_8_50 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_53 = e0 & ~ (all_8_52 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_56 = e2) & ~ (all_8_58 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4022) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4023) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_8_30 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3940), (4024) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) e4 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (4025) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4026) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4027) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_8_32 = e2
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3952), (4028) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) e2 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4029) implies:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) e2 = e0
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4030) imply:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) $false
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4031) is inconsistent.
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4032) gives:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 72.68/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4033) implies:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) ~ (all_8_33 = e4)
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3968), (4034) imply:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) $false
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4035) is inconsistent.
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)) | (all_8_42 = e1 & ~ (all_8_41 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_43 = all_8_44))
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_8_38 = e1
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3966), (4038) imply:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) e1 = e0
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4039) imply:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) $false
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4040) is inconsistent.
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3517), (4041) are inconsistent by sub-proof
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_52 = e3) & ~ (all_8_54 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4042) gives:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51))
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4043) gives:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3908), (4044) are inconsistent by sub-proof
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_51)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4045) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_8_49 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3958), (4046) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) e4 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4047) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) e4 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4048) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4049) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4050) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4051) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_8_53 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3884), (4052) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) e1 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4053) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) e1 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4054) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4055) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4056) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (3526), (4057) are inconsistent by
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4058) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) ~ (all_8_60 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3963), (4059) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4060) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (515), (544), (3529), (3567), (4061)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #98.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_10_15 = e1 | all_10_23 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (343), (515), (3495), (4062) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) ~ (all_10_6 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4063) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) ~ (all_4_2 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (3616), (3894), (3909), (4064) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (3838), (4065) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) ~ (all_10_5 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (4066) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) ~ (all_4_11 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (542), (543), (3870), (4067) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) ~ (all_10_2 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (4068) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) ~ (all_4_1 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3463), (3603), (3867), (3893), (4069) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (366), (479), (515),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538), (539), (3529), (3581), (3886), (4070) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) all_6_1 = e3 | all_6_1 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (3804), (4071) are inconsistent by
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) ~ (all_10_20 = e3)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (4072) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) ~ (all_4_4 = e3)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3864) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_10_11 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (4074) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_4_17 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4075) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_4_17 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (4076) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) ~ (all_4_2 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3563), (4076) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) ~ (e2 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) all_10_6 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (4079) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_4_2 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4080) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) all_4_2 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (4081) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) ~ (all_4_4 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4082) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) ~ (all_4_4 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) all_10_0 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4084) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) e2 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4085) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4086) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4087) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_10_1 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4088) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_4_5 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (4089) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) ~ (all_4_8 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4090) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) ~ (all_4_8 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3796), (4089) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) ~ (e4 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3804), (4089) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) ~ (e3 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) all_10_12 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4094) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_4_3 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4095) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_4_3 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (4096) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) ~ (all_4_4 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_10_0 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (3567), (4098) are inconsistent by
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3611) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_6_20 = e4
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (4100) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_4_4 = e4
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (4101) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_10_20 = e4
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (400), (534), (3867), (4094),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099), (4102) are inconsistent by sub-proof #89.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (4073), (4083), (4103) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (366), (479), (515),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538), (539), (3529), (3581), (4091), (4104) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) ~ (all_10_1 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4105) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) ~ (all_4_5 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (3804), (3857), (4106) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) ~ (all_10_6 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4107) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) ~ (all_4_2 = e0)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) all_10_0 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4109) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) e2 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4110) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4111) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4112) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_10_1 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4113) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_4_5 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (4114) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) ~ (all_4_8 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4115) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) ~ (all_4_8 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3796), (4114) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) ~ (e4 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (118), (119), (306), (324),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (366), (369), (400), (468), (470), (479),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (534), (538), (539), (3463), (3529),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581), (3603), (3616), (3867), (4077), (4108),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) are inconsistent by sub-proof #34.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) ~ (all_10_1 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4118) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) ~ (all_4_5 = e1)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (3804), (3857), (4119) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_10_15 = e1 | all_10_23 = e1
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (343), (515), (3495), (4120) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) ~ (all_10_17 = e3)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (4121) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) ~ (all_4_21 = e3)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_6_9 = e4
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4123) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_4_21 = e4
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (4124) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) ~ (all_4_22 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4125) implies:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_4_22 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (3589), (3838), (4126) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (3497), (4122), (4127) are
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) ~ (all_10_4 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4128) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) ~ (all_4_10 = e4)
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (469), (471), (540), (541), (3464), (3506),
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619), (3796), (3804), (4129) are inconsistent by
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4130) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_10_10 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3549), (4131) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) e3 = e2
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3567), (4132) imply:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) $false
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4133) is inconsistent.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4134) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_10_11 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (548), (4135) are inconsistent by sub-proof
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_10_15 = e3 | all_10_23 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4136) gives:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_10_15 = e3
% 72.89/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (4137) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) e4 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (4138) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) $false
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4139) is inconsistent.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_10_23 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (4140) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_4_19 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4141) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_4_19 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (4142) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) ~ (all_4_4 = e3)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (4142) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) ~ (all_4_15 = e3)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (4142) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) ~ (e4 = e3)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_10_20 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (4146) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_4_4 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4147) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_4_4 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (4148) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) ~ (all_4_2 = e0)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (4148) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) ~ (e1 = e0)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_10_0 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (4151) are inconsistent by sub-proof
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4152) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_10_2 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4153) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_4_1 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4154) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_4_1 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (4155) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) ~ (all_4_2 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4156) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) ~ (all_4_2 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4155) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) ~ (all_4_11 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4158) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) ~ (all_4_11 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4155) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) op(e4, e4) = all_8_10
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4155) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) op(e3, e4) = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_10_0 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4162) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) e3 = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4163) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) e3 = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4140), (4164) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_10_23 = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (515), (3567), (4136), (4165) are
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #227.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_10_4 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4167) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_4_10 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4168) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_4_10 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (4169) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) ~ (all_4_20 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4170) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) ~ (all_4_20 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (4169) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) op(e4, e4) = all_8_3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_10_2 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4153), (4173) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) e4 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4174) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) e4 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4175) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) $false
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4176) is inconsistent.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4177) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_10_3 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3462), (4178) are inconsistent by sub-proof
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_10_5 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (4180) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_4_11 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4181) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_4_11 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4182) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) op(e1, e2) = all_8_15
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4182) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) op(e3, e2) = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3616) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_6_10 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4185) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_4_2 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4157), (4186) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) $false
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4187) is inconsistent.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) ~ (all_6_10 = e4)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4189) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_6_10 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4190) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_4_2 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_10_6 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) ~ (all_4_17 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4193) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) ~ (all_4_17 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) ~ (all_4_22 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4157), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) ~ (e4 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) ~ (e2 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) op(e1, e4) = all_8_21
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (4191) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) op(e1, e2) = all_8_20
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) all_10_2 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (4153), (4200) are inconsistent by sub-proof
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_10_9 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (4202) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_4_15 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4203) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_4_15 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (4204) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) ~ (all_4_5 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4204) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) ~ (all_4_20 = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4204) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) op(e1, e4) = all_8_5
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_10_1 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4208) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_4_5 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4209) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) ~ (all_4_20 = e3)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4210) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) ~ (all_4_20 = e3)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (4209) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) op(e3, e4) = all_8_1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_10_12 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4213) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_4_3 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4214) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_4_3 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4215) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) op(e3, e4) = all_8_34
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (4215) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) op(e1, e4) = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_10_16 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4218) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_4_20 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4219) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) ~ (all_4_22 = e0)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4220) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) ~ (all_4_22 = e0)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4219) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) op(e4, e0) = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_6_14 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4223) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_4_22 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4224) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_4_22 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (4225) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) op(e4, e0) = all_8_32
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (4225) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) op(e2, e0) = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4183) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_8_15 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_20,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15, e2, e1, simplifying with (4183), (4199)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_8_15 = all_8_20
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e1, simplifying with (4198), (4207)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_8_5 = all_8_21
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (4207), (4217) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_8_5 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_34,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e3, simplifying with (4212), (4216)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_8_1 = all_8_34
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_1,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4161), (4212) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_8_1 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (4222), (4226) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_8_32 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (4172) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_8_3 = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e4, simplifying with (4160), (4172)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_8_3 = all_8_10
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4232), (4233) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_8_34 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4237) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_8_34 = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4235), (4236) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_8_10 = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4230), (4231) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_8_21 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4240) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_8_21 = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4228), (4229) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_8_20 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4242) implies:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_8_20 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) unit = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4244) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) op(e4, e4) = e4
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4244) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) op(e3, e4) = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4244) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) op(e1, e4) = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (25), (4161), (4217), (4245), (4246),
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247), (function-axioms) are inconsistent by
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) unit = e3 | unit = e1 | unit = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4248) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) unit = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4249), (function-axioms) are
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) ~ (unit = e1)
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) unit = e3 | unit = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4251) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) unit = e3
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (4252) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) op(e3, e2) = e2
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4184), (4253) gives:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) e2 = e1
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4254) imply:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) $false
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4255) is inconsistent.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) unit = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (3534), (4222), (4227), (4250),
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256), (function-axioms) are inconsistent by
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (4221), (4257) are
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) ~ (all_10_16 = e0)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4258) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) ~ (all_4_20 = e0)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (3606), (4171), (4211), (4259) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) ~ (all_10_12 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4260) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) ~ (all_4_3 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4201) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_10_6 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4192), (4262) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) e3 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4263) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4264) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_10_12 = e3 | all_10_20 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4265) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_10_12 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (4261), (4266) are inconsistent by
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_10_20 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4146), (4267) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) e3 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4268) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4269) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) ~ (all_10_1 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4270) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) ~ (all_4_5 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (3619), (3796), (4205), (4271) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (343), (375), (515), (3495), (3549),
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194), (4272) are inconsistent by sub-proof #25.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_6_10 = e3 | all_6_10 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (4149), (4273) are inconsistent by
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_10_10 = e1 | all_10_17 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (388), (3497), (3549), (4274) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) ~ (all_10_4 = e4)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (409), (471), (474), (540), (541), (542),
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543), (3506), (3592), (4159), (4275) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) ~ (all_10_2 = e4)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (4276) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) ~ (all_4_1 = e4)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4277) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_10_6 = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_10_6 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4279), (4280) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) e4 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4281) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) e4 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4282) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4283) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_10_7 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3558), (4285) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) e2 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4286) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4287) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4288) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) all_10_8 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (4289) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) e3 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4290) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4291) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_10_11 = e1 | all_10_18 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4292) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_10_11 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (4293) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_4_17 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4294) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_4_17 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) ~ (all_4_15 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) ~ (all_4_22 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) ~ (e4 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) ~ (e3 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3563), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) ~ (e2 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (4295) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e1, e2) = all_8_29
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_10_9 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (4302) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_4_15 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4303) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_4_15 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4304) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) ~ (all_4_20 = e0)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4305) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) ~ (all_4_20 = e0)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4304) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) op(e4, e1) = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_10_16 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4308) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_4_20 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4306), (4309) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4310) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4311) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_10_17 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (4312) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_4_21 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3474), (4313) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4314) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_10_18 = e0 | all_10_19 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_10_18 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4316) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_4_22 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (4317) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) ~ (e3 = e0)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (4317) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) op(e2, e0) = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_29,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4301) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_8_29 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_10_0 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4321) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) e2 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (4322) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) $false
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4323) is inconsistent.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) ~ (all_10_0 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_10_12 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4326) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) all_4_3 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4327) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_4_3 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4328) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) ~ (all_4_1 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4328) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) op(e3, e4) = all_8_34
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4325) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_10_2 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4331) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_4_1 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4332) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_4_1 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4333) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) ~ (all_4_11 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4334) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) ~ (all_4_11 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4333) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) op(e3, e4) = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) all_10_4 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4337) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_4_10 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4338) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_4_10 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (4339) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) ~ (all_4_5 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (4339) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) op(e1, e2) = all_8_4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_10_1 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4342) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_4_5 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (4343) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) op(e3, e4) = all_8_1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3592) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_6_7 = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (4345) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_4_11 = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4346) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_4_11 = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4347) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) op(e3, e2) = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4341) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_8_4 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_34,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e3, simplifying with (4330), (4344)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_8_1 = all_8_34
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_1,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4336), (4344) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_8_1 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4350), (4351) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) all_8_34 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4352) implies:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_8_34 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) unit = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (4307), (4354), (function-axioms) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) unit = e3 | unit = e1 | unit = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4355) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) unit = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4356), (function-axioms) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) ~ (unit = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) unit = e3 | unit = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4358) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) unit = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4359) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) op(e3, e4) = e4
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (4359) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) op(e3, e2) = e2
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (4336), (4348), (4360), (4361),
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #53.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) unit = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4362) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) op(e2, e0) = e2
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4362) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) op(e1, e0) = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e0,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3534), (4364) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) e2 = e1
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4319), (4363) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) e2 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4365), (4366) are inconsistent by sub-proof
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (542), (543), (4335), (4367) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) ~ (all_10_1 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4368) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) ~ (all_4_5 = e3)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (3619), (3796), (4340), (4369) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) ~ (all_10_4 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4370) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) ~ (all_4_10 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (471), (474), (540), (541), (542), (543),
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506), (3592), (4335), (4371) are inconsistent by
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) ~ (all_10_2 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (4372) imply:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) ~ (all_4_1 = e1)
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3463), (3603), (4278), (4329), (4373) are
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_10_0 = e3
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (3567), (4375) are inconsistent by
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) ~ (all_10_0 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4377) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) all_10_2 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4378) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) all_4_1 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4379) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4380) all_4_1 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4380) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4381) ~ (all_4_11 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4380) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4382) op(e3, e4) = all_8_10
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4380) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383) op(e3, e3) = all_8_9
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4380) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4384) op(e3, e4) = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4385) all_10_16 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4385) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4386) all_4_20 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4386) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4387) all_4_20 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (4387) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388) ~ (all_4_21 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4388) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389) ~ (all_4_21 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (4387) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) op(e3, e4) = all_8_7
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) all_6_1 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3796), (4391) are inconsistent by
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4374) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) all_10_13 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (4393) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) all_4_8 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4394) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) all_4_8 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (4395) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4396) ~ (all_4_5 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4395) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4397) op(e3, e3) = all_8_38
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_10_1 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4398) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4399) all_4_5 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (4399) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4400) ~ (all_4_10 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4400) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4401) ~ (all_4_10 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (4399) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4402) op(e4, e3) = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4403) all_6_2 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (4403) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4404) all_4_10 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4404) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_4_10 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4405) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_10_4 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) all_10_4 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (4406), (4407) are inconsistent by sub-proof
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4408) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_10_5 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (4409) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_4_11 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4410) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) all_4_11 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4411) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) ~ (all_4_21 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4411) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) op(e1, e2) = all_8_15
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_6_9 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4414) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) all_4_21 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4415) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) all_4_21 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (4416) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) op(e4, e3) = all_8_18
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4413) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) all_8_15 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (4383) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) all_8_9 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_38,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e3, simplifying with (4383), (4397)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) all_8_9 = all_8_38
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e3, simplifying with (4382), (4390)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) all_8_7 = all_8_10
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4384), (4390) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) all_8_7 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_18,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4402), (4417) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_8_18 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4421), (4422) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) all_8_10 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4424) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) all_8_10 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4419), (4420) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) all_8_38 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4426) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) all_8_38 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) unit = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (4307), (4428), (function-axioms) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) unit = e3 | unit = e1 | unit = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4429) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) unit = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4430), (function-axioms) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) ~ (unit = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) unit = e3 | unit = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4432) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) unit = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4433) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) op(e3, e4) = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4433) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) op(e4, e3) = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4433) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) op(e3, e3) = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3476), (4436) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) e3 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4384), (4434) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) e4 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e3,
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (4402), (4435) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) e4 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4438), (4439) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) e3 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4440) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) e3 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4437), (4441) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) e1 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4442) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4443) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) unit = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (3534), (4319), (4431), (4444),
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (3497), (4389), (4445) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) ~ (all_10_5 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (4446) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) ~ (all_4_11 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (471), (474), (540), (541), (542), (543),
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506), (3592), (4401), (4447) are inconsistent by
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (4401), (4448) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) ~ (all_10_1 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4449) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) ~ (all_4_5 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (4392), (4396), (4450) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (515), (544), (3529), (3567), (4451)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #98.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) ~ (all_10_16 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4452) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) ~ (all_4_20 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_10_2 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4378), (4454) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) e3 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4455) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) e3 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4456) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4457) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4458) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) all_10_3 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3462), (4459) are inconsistent by sub-proof
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4460) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_10_5 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (4461) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) all_4_11 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4462) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) all_4_11 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (4463) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) ~ (all_4_10 = e1)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) all_10_4 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4465) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_4_10 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4466) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_4_10 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (4467) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) ~ (all_4_20 = e4)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4468) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) ~ (all_4_20 = e4)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (3606), (4306), (4453), (4469) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) ~ (all_10_4 = e4)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4470) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) ~ (all_4_10 = e4)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (3506), (4464), (4471) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_10_10 = e1 | all_10_17 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (388), (3497), (3549), (4472) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) ~ (all_10_2 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (4473) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) ~ (all_4_1 = e3)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4374) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_10_13 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) all_10_12 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (369), (468), (3463), (3603), (4278),
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474), (4476) are inconsistent by sub-proof #35.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (363), (515), (3529),
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475), (4477) are inconsistent by sub-proof #96.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (515), (544), (3529), (3567), (4478)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #98.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_10_19 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3529), (4479) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) e2 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4480) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) e2 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4481) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4482) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) ~ (all_10_9 = e0)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (4483) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) ~ (all_4_15 = e0)
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (3600), (4144), (4296), (4484) are
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_10_18 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4485) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_4_22 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4486) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_4_22 = e1
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3498), (4487) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4488) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_10_12 = e4 | all_10_20 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4489) gives:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_10_12 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4490) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_4_3 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4491) implies:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_4_3 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (4492) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4493) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_10_20 = e4
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4146), (4494) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) e4 = e0
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (4495) imply:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) $false
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4496) is inconsistent.
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) ~ (all_10_20 = e0)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (4497) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) ~ (all_4_4 = e0)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3611) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_6_20 = e4
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (4499) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) all_4_4 = e4
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3795), (4500) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4501) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (4143), (4498), (4502) are
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | (4503) ~ (all_10_7 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (4503) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | (4504) ~ (all_4_7 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3541) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4505) all_10_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4505) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4506) all_4_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4504), (4506) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4507) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4507) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4508) all_10_13 = e2 | all_10_21 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (366), (3519), (3530), (4508) are
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4509) all_10_17 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (388), (3531), (4509) are inconsistent by
% 72.89/10.84 | | | | | | | | | | | | | | | | | | sub-proof #266.
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | End of split
% 72.89/10.84 | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | (4510) ~ (all_6_19 = e2)
% 72.89/10.84 | | | | | | | | | | | | (4511) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 72.89/10.84 | | | | | | | | | | | | all_6_19 = e0
% 72.89/10.84 | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | REDUCE: (498), (4510) imply:
% 72.89/10.84 | | | | | | | | | | | | (4512) ~ (all_4_23 = e2)
% 72.89/10.84 | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | BETA: splitting (307) gives:
% 72.89/10.84 | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | (4513) all_10_12 = e2
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | REF_CLOSE: (369), (523), (4513) are inconsistent by sub-proof
% 72.89/10.84 | | | | | | | | | | | | | #151.
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | (4514) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 72.89/10.84 | | | | | | | | | | | | | all_10_19 = e2
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | BETA: splitting (4514) gives:
% 72.89/10.84 | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | (4515) all_10_13 = e2
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | COMBINE_EQS: (366), (4515) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4516) all_4_8 = e2
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | SIMP: (4516) implies:
% 72.89/10.84 | | | | | | | | | | | | | | (4517) all_4_8 = e2
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | COMBINE_EQS: (444), (4517) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4518) all_8_39 = e2
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | REDUCE: (84), (4517) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4519) ~ (all_4_7 = e2)
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | REDUCE: (79), (4517) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4520) ~ (all_4_9 = e2)
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | REDUCE: (580), (4517) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4521) op(e2, e3) = all_8_38
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | REDUCE: (581), (4517) imply:
% 72.89/10.84 | | | | | | | | | | | | | | (4522) op(e2, e1) = all_8_37
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 72.89/10.84 | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | (4523) all_10_12 = e1
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4523) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4524) all_4_3 = e1
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | SIMP: (4524) implies:
% 72.89/10.84 | | | | | | | | | | | | | | | (4525) all_4_3 = e1
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | COMBINE_EQS: (442), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4526) all_8_35 = e1
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | REDUCE: (118), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4527) ~ (all_4_1 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | REDUCE: (112), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4528) ~ (all_4_2 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | REDUCE: (106), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4529) ~ (all_4_4 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | REDUCE: (102), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4530) ~ (all_4_23 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | REDUCE: (536), (4525) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | (4531) ~ (e4 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | BETA: splitting (4511) gives:
% 72.89/10.84 | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | (4532) all_6_19 = e4
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4532) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | (4533) all_4_23 = e4
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | REDUCE: (563), (4533) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | (4534) $false
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | CLOSE: (4534) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | (4535) ~ (all_6_19 = e4)
% 72.89/10.84 | | | | | | | | | | | | | | | | (4536) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | BETA: splitting (4536) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | (4537) all_6_19 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4537) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | (4538) all_4_23 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | REDUCE: (3499), (4538) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | (4539) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | CLOSE: (4539) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | (4540) ~ (all_6_19 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | | | | (4541) all_6_19 = e3 | all_6_19 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | BETA: splitting (4541) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4542) all_6_19 = e3
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4542) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4543) all_4_23 = e3
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4544) all_8_63 = e3
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4545) all_10_19 = e3
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (35), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4546) ~ (all_4_20 = e3)
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (32), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4547) ~ (all_4_21 = e3)
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (563), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4548) ~ (e4 = e3)
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (602), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4549) op(e3, e0) = all_8_47
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (133), (4543) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4550) op(e1, e0) = e3
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | all_8_37, e1, e2, simplifying with (139), (4522)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4551) all_8_37 = all_4_17
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | all_8_38, e3, e2, simplifying with (141), (4521)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4552) all_8_38 = all_4_7
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | all_8_47, e0, e3, simplifying with (143), (4549)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | (4553) all_8_47 = all_4_21
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | (4554) all_6_21 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3519), (4554) are inconsistent by
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | sub-proof #262.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | (4555) ~ (all_6_21 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | (4556) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | all_6_21 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | (4557) all_6_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (3520), (4557) are inconsistent by
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | (4558) ~ (all_6_7 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | (4559) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | all_6_7 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4560) all_6_23 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4560) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4561) all_4_19 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3522), (4561) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4562) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4562) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | (4563) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | (4564) all_6_11 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (4564) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | (4565) all_4_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4519), (4565) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | (4566) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4566) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | (4567) ~ (all_6_11 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | (4568) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | (4569) all_6_5 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (519), (4569) are inconsistent by sub-proof
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | #258.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | (4570) ~ (all_6_5 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | (4571) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_6_10 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4572) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_4_2 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (4573) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (4574) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4574) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (4575) ~ (all_6_10 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_6_9 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4577) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4578) all_4_21 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4579) all_10_17 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4580) ~ (all_4_22 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4580) implies:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4581) ~ (all_4_22 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4547), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4582) ~ (e3 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4582) implies:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4583) ~ (e3 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4584) op(e2, e3) = all_8_18
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4585) op(e2, e0) = all_8_19
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4578) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (4586) op(e3, e0) = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_10_6 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (521), (4587) are inconsistent by sub-proof
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #147.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4588) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_10_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4589) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_4_7 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4519), (4590) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4591) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4592) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_10_8 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (4593) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) e3 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4583), (4594) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4595) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_10_11 = e2 | all_10_18 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4596) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_10_11 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (4597) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_4_17 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4598) implies:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_4_17 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (4599) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) ~ (e4 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_10_6 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (4528), (4601) are inconsistent by
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4602) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_10_7 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4603) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_4_7 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (4604) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) ~ (all_4_5 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (4604) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) ~ (all_4_9 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (4604) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) ~ (all_4_22 = e1)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (4604) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) op(e1, e2) = all_8_24
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4604) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) op(e2, e3) = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4608) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_8_24 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19, e0, e2, simplifying with (138), (4585)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_8_19 = all_4_22
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_18,
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (4584), (4609) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_8_18 = e1
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_6_4 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (4613) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_4_20 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (4614) imply:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) $false
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4615) is inconsistent.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) ~ (all_6_4 = e2)
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_6_14 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (4581), (4618) are inconsistent by
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_6_1 = e2
% 72.89/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (4620) are inconsistent by sub-proof
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) ~ (all_6_1 = e2)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) unit = e2
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (4623), (function-axioms) are
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_6_3 = e2
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (4625) are inconsistent by sub-proof
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) ~ (all_6_3 = e2)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_6_20 = e2
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (4628) are inconsistent by sub-proof
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) ~ (all_6_20 = e2)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) all_10_20 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (4631) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_4_4 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4632) implies:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_4_4 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (4633) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) ~ (all_4_2 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (4633) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) ~ (all_4_9 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4635) implies:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) ~ (all_4_9 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (4633) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) op(e4, e4) = all_8_49
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4633) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) op(e4, e0) = all_8_48
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (4633) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) op(e0, e4) = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_10_6 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (4634), (4640) are inconsistent by
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) ~ (all_10_6 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4556) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_6_21 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (4636), (4643) are inconsistent by
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_10_1 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4645) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_4_5 = e4
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (4646) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) ~ (all_4_10 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4647) implies:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) ~ (all_4_10 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (4646) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) ~ (all_4_15 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4646) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) ~ (all_4_20 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4650) implies:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) ~ (all_4_20 = e4)
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (4646) imply:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) op(e4, e4) = all_8_1
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_10_1 = e3
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4645), (4653) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) e4 = e3
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (4654) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) $false
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4655) is inconsistent.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e3
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_10_4 = e4
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4657) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_4_10 = e4
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4648), (4658) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) $false
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4659) is inconsistent.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) ~ (all_10_4 = e4)
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e4
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_10_20 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (4631), (4662) are inconsistent by
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_10_0 = e3
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (4583), (4664) are inconsistent by
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4663) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_10_21 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (3469), (4666) are inconsistent by
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_10_22 = e0 | all_10_23 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_6_4 = e4
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (4651), (4668) are inconsistent by
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_6_2 = e4
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (4648), (4670) are inconsistent by
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4671) gives:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_6_2 = e1
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (4672) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_4_10 = e1
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4673) implies:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_4_10 = e1
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (4674) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) ~ (all_4_11 = e1)
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4675) implies:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) ~ (all_4_11 = e1)
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (4674) imply:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) ~ (all_4_15 = e1)
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4677) implies:
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) ~ (all_4_15 = e1)
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.10/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (4674) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) ~ (all_4_20 = e1)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (4674) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) ~ (e3 = e1)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (4674) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) op(e1, e2) = all_8_4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_6_10 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (4634), (4682) are inconsistent by
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4683) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_6_10 = e1
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (4528), (4684) are inconsistent by
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #242.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_6_10 = e3 | all_6_10 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4661) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_10_5 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (4686) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_4_11 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4687) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_4_11 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4688) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) ~ (all_4_1 = e4)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4688) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) op(e3, e2) = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_10_7 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4603), (4691) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) e4 = e1
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4692) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) e4 = e1
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4693) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) $false
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4694) is inconsistent.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_10_3 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (3462), (4696) are inconsistent by
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_10_7 = e3 | all_10_13 = e3 | all_10_21 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4665) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_10_2 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4698) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_4_1 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4699) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_4_1 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (4700) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) ~ (all_4_2 = e3)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4700) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) op(e3, e4) = all_8_10
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4700) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) op(e3, e3) = all_8_9
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4700) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) op(e3, e4) = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4695) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_10_8 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (4705) are inconsistent by sub-proof
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) all_10_11 = e4 | all_10_18 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4697) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_10_7 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4603), (4707) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) e3 = e1
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4708) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) e3 = e1
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4709) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) $false
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4710) is inconsistent.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_10_13 = e3 | all_10_21 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4706) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_10_11 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4597), (4712) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) e4 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (4713) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) $false
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4714) is inconsistent.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_10_18 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (4715) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) all_4_22 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (4716) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) op(e4, e0) = all_8_32
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (4716) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) op(e2, e0) = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4711) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_10_13 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4515), (4719) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) e3 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4583), (4720) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) $false
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4721) is inconsistent.
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_10_21 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (4722) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_4_9 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4723) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) all_4_9 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (4724) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) op(e3, e3) = all_8_53
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (4724) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) op(e3, e0) = all_8_52
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_10_6 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (4727) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) all_4_2 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4728) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_4_2 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (4729) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) ~ (e2 = e0)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (4729) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) op(e0, e4) = all_8_21
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_10_9 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (4732) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_4_15 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4733) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) ~ (all_4_20 = e3)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4733) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) op(e3, e4) = all_8_5
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_10_16 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4736) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_4_20 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3496), (4737) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) ~ (e1 = e0)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (4737) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) op(e0, e4) = all_8_7
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4737) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) op(e4, e0) = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (4731), (4739)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_8_7 = all_8_21
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_7,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (4639), (4739) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_8_7 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4681) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_8_4 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_52,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4586), (4726) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_8_52 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (4703) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_8_9 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_53,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e3, simplifying with (4703), (4725)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_8_9 = all_8_53
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e3, simplifying with (4702), (4735)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_8_5 = all_8_10
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4704), (4735) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_8_5 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_48,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32, e0, e4, simplifying with (4638), (4717)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_8_32 = all_8_48
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (4717), (4740) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_8_32 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (4652) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_8_1 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e4, simplifying with (4637), (4652)
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_8_1 = all_8_49
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4751), (4752) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_8_49 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4753) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_8_49 = e2
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4747), (4748) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) all_8_10 = e3
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4741), (4742) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_8_21 = e4
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4745), (4746) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_8_53 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4750) imply:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_8_48 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4758) implies:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_8_48 = e0
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4624) gives:
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) unit = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (16), (25), (4639), (4760),
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) unit = e3 | unit = e1 | unit = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4761) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) unit = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4762), (function-axioms) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) ~ (unit = e1)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) unit = e3 | unit = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4764) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) unit = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4765) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) op(e3, e4) = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (4765) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) op(e3, e2) = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4765) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) op(e3, e3) = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4765) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) op(e2, e3) = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e3,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4609), (4769) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) e2 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e2,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4690), (4767) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) e4 = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3476), (4768) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) e3 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4704), (4766) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) e4 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4770), (4771), (4772), (4773) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) unit = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4774) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) op(e4, e0) = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4774) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) op(e3, e0) = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4774) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) op(e2, e0) = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4774) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) op(e1, e0) = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4550), (4586), (4718), (4740), (4775),
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776), (4777), (4778), (function-axioms) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) ~ (all_10_16 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4779) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) ~ (all_4_20 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (4546), (4669), (4780) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) ~ (all_10_9 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (4781) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) ~ (all_4_15 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (49), (343), (477), (557), (3518), (4627),
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667), (4678), (4782) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) ~ (all_10_6 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (4783) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) ~ (all_4_2 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (4685), (4784) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (534), (4523), (4631), (4785)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) ~ (all_10_5 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (4786) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) ~ (all_4_11 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (471), (474), (540), (541), (542), (543),
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559), (4671), (4787) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_6_2 = e3 | all_6_2 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (4788) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) ~ (all_10_1 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (4789) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) ~ (all_4_5 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_6_1 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (4790), (4791) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (469), (490), (3464), (3469), (3493),
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605), (4644), (4792) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4793) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) all_10_21 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (4794) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_4_9 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4795) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_4_9 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (4796) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) ~ (all_4_4 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (4796) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) ~ (all_4_5 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (4796) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) op(e4, e3) = all_8_53
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (4796) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) op(e4, e0) = all_8_52
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (4796) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) op(e0, e3) = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) all_10_1 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (4802) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_4_5 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (4803) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) ~ (all_4_10 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (4803) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) ~ (all_4_15 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4805) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) ~ (all_4_15 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4803) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) ~ (all_4_20 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (4803) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) op(e3, e4) = all_8_1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (4803) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) op(e4, e3) = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e3, simplifying with (147), (4808)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_8_1 = all_4_1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52, e0, e4, simplifying with (148), (4800)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_8_52 = all_4_20
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_53,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4799), (4809) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_8_53 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_10_2 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4813) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_4_1 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4814) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) all_4_1 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4815) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) ~ (all_4_4 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4816) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) ~ (all_4_4 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4815) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) ~ (all_4_11 = e3)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4630) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_6_20 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (4797), (4819) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) ~ (all_6_20 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4821) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_6_20 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (4822) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_6_20 = e3 | all_6_20 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4823) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_6_20 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (4817), (4824) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_6_20 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (4825) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_4_4 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4826) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_4_4 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (4827) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) ~ (all_4_19 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4828) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) ~ (all_4_19 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (4827) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) ~ (e2 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (4827) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) op(e0, e4) = all_8_49
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (4827) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) op(e0, e4) = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) all_10_9 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (4833) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) all_4_15 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4834) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_4_15 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4835) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) ~ (all_4_20 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4836) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) ~ (all_4_20 = e0)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4835) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) op(e0, e4) = all_8_5
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4835) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) op(e4, e1) = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_10_16 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4840) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_4_20 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (4841) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) ~ (all_4_10 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4563) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) all_6_23 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (561), (4843) are inconsistent by sub-proof
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #120.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_6_23 = e3 | all_6_23 = e1 | all_6_23 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_10_4 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4845) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_4_10 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4842), (4846) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) $false
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4847) is inconsistent.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) ~ (all_10_4 = e4)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3506) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) all_6_2 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (4842), (4850) are inconsistent by
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #255.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4849) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_10_5 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (517), (4852) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_4_11 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4853) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_4_11 = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (4854) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) op(e4, e3) = all_8_14
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4854) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) op(e3, e2) = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) all_10_4 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4857) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_4_10 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (4858) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) op(e1, e2) = all_8_4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) all_6_23 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4860) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_4_19 = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3495), (4861) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) $false
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4862) is inconsistent.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_6_23 = e3 | all_6_23 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_6_23 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4864) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) all_4_19 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (4865) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) op(e3, e0) = all_8_60
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e0, simplifying with (4831), (4838)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_8_5 = all_8_49
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_5,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (4832), (4838) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_8_5 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4859) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_8_4 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_60,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4586), (4866) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_8_60 = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_14,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4809), (4855) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_8_14 = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4867), (4868) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_8_49 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4872) implies:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_8_49 = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4624) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) unit = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (4839), (4874), (function-axioms) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) unit = e3 | unit = e1 | unit = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4875) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) unit = e1
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4876), (function-axioms) are
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) ~ (unit = e1)
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) unit = e3 | unit = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) unit = e3
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (4879) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) op(e3, e2) = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4879) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) op(e4, e3) = e4
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4879) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) op(e2, e3) = e2
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (4879) imply:
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) op(e0, e3) = e0
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e3,
% 73.12/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4801), (4883) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) e4 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e3,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4609), (4882) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) e2 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e2,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4856), (4880) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) e4 = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e3,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (4809), (4881) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) e4 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4884), (4887) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) e3 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4885), (4886), (4887), (4888) are
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) unit = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4877), (4889) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) ~ (e1 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4889) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) op(e0, e4) = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (4889) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) op(e0, e3) = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4889) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) op(e3, e0) = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4889) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) op(e1, e0) = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e3,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4801), (4892) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) e4 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e4,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4832), (4891) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) e4 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4550), (4894) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) e3 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4586), (4893) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) e3 = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4895), (4896) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) e3 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4899) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) e3 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4898), (4900) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) e2 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4897), (4898) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) e2 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4901), (4902) are inconsistent by sub-proof
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #248.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_6_23 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4903) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) all_4_19 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4829), (4904) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4905) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) ~ (all_10_4 = e1)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4906) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) ~ (all_4_10 = e1)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (4851), (4907) are
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) ~ (all_10_5 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (4908) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) ~ (all_4_11 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (471), (474), (540), (541), (542), (543),
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559), (4851), (4909) are inconsistent by
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) ~ (all_10_16 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4910) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) ~ (all_4_20 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (4546), (4617), (4837), (4911) are
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (343), (391), (515), (554), (3472), (4597),
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829), (4912) are inconsistent by sub-proof #14.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) ~ (all_10_2 = e3)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (4913) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) ~ (all_4_1 = e3)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4571) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_6_5 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (4915) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_4_1 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4916) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) all_4_1 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4917) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) all_10_2 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (4917) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) ~ (all_4_2 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4919) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) ~ (all_4_2 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (4917) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) ~ (all_4_11 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4921) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) ~ (all_4_11 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4917) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) op(e4, e4) = all_8_10
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4917) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) op(e3, e4) = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_10_4 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4925) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_4_10 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4926) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_4_10 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (4927) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) ~ (all_4_20 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4928) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) ~ (all_4_20 = e4)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (4927) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) op(e4, e4) = all_8_3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) all_6_10 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4931) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_4_2 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4920), (4932) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4933) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4934) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_6_10 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4935) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_4_2 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4528), (4936) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4937) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) all_6_10 = e3 | all_6_10 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) all_10_0 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (4583), (4939) are inconsistent by
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4940) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) all_10_2 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (4918), (4941) are inconsistent by sub-proof
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4559) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) all_6_7 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (4922), (4943) are inconsistent by
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4938) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) all_6_10 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4945) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) all_4_2 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (4946) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4947) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) all_6_10 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4948) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) all_4_2 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (4949) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) all_10_6 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (4949) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) ~ (e3 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (4949) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) op(e0, e4) = all_8_21
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4942) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) all_10_6 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4950), (4953) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) e3 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4954) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4955) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_10_12 = e3 | all_10_20 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4956) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) all_10_12 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4523), (4957) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) e3 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4958) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4959) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_10_20 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (4960) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_4_4 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4961) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_4_4 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (4962) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) op(e3, e4) = all_8_49
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4962) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) op(e3, e0) = all_8_48
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (4962) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) op(e0, e4) = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) all_10_16 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4966) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_4_20 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4967) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) ~ (all_4_22 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4968) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) ~ (all_4_22 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (4967) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) ~ (e2 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (4967) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) op(e0, e4) = all_8_7
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4967) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) op(e4, e0) = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4619) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_6_14 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4973) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) all_4_22 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4974) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_4_22 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (4975) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) op(e4, e0) = all_8_32
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (4975) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) op(e2, e0) = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) all_6_7 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (4978) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) all_4_11 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4979) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_4_11 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4980) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) op(e1, e2) = all_8_15
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4980) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) op(e3, e2) = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (4952), (4971)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) all_8_7 = all_8_21
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (4965), (4971) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) all_8_7 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (4981) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4985) all_8_15 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_48,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4586), (4964) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4986) all_8_48 = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_49,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4924), (4963) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) all_8_49 = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (4972), (4976) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) all_8_32 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (4930) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_8_3 = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_3, e4, e4, simplifying with (4923), (4930)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) all_8_3 = all_8_10
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4989), (4990) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) all_8_10 = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4983), (4984) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992) all_8_21 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4992) implies:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) all_8_21 = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4624) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) unit = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4994) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) op(e4, e4) = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4994) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) op(e3, e4) = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (4994) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) op(e0, e4) = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (4924), (4965), (4995), (4996),
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (function-axioms) are inconsistent by
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) unit = e3 | unit = e1 | unit = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4998) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) unit = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (4999), (function-axioms) are
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) ~ (unit = e1)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) unit = e3 | unit = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5001) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) unit = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (5002) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) op(e3, e2) = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (5002) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) op(e3, e0) = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e0,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4586), (5004) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) e2 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4982), (5003) gives:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006) e2 = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5005), (5006) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007) e1 = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (5007) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008) $false
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5008) is inconsistent.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5009) unit = e0
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (5009) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010) ~ (e1 = e0)
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5009) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011) op(e4, e0) = e4
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5009) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012) op(e3, e0) = e3
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5009) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5013) op(e2, e0) = e2
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (5009) imply:
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5014) op(e1, e0) = e1
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4550), (4586), (4972), (4977), (5011),
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012), (5013), (5014), (function-axioms) are
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5015) all_6_7 = e3 | all_6_7 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (542), (543), (5015) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5016) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (4969), (5016) are
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5017) ~ (all_10_16 = e0)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (5017) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5018) ~ (all_4_20 = e0)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (4546), (4617), (4929), (5018) are
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5019) ~ (all_10_4 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (409), (471), (474), (540), (541), (542),
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543), (3506), (4559), (4922), (5019) are
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5020) ~ (all_6_5 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (468), (5020) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5021) ~ (all_4_1 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5022) all_10_0 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (4583), (5022) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5023) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5023) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5024) all_10_2 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (4914), (5024) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5025) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5025) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5026) all_10_6 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (534), (5026) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #188.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5027) all_10_12 = e3 | all_10_20 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5027) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5028) all_10_12 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4523), (5028) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5029) e3 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5029) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5030) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5030) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5031) all_10_20 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5031) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5032) all_4_4 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5032) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5033) all_4_4 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034) all_10_20 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (5031), (5034) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5035) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5035) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5036) all_10_21 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4794), (5036) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5037) e4 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5037) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038) e4 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (5038) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5039) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5039) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5040) all_10_22 = e0 | all_10_23 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5041) all_10_9 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5041) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042) all_4_15 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5042) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5043) all_4_15 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (5043) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) ~ (all_4_10 = e1)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) all_10_0 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (5045) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) all_10_4 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5047) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) all_4_10 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (5048) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) ~ (all_4_20 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5049) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) ~ (all_4_20 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_10_16 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (5051) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_4_20 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5050), (5052) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5053) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5054) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_10_17 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4579), (5055) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) e4 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5056) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) e4 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5057) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5058) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5059) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_10_18 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5060) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) all_4_22 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (5061) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) ~ (all_4_2 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (313), (352), (385), (400), (470), (534),
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554), (4523), (4528), (4576), (4797), (5021),
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046), (5062) are inconsistent by sub-proof #9.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) all_10_19 = e4 | all_10_24 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5063) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_10_19 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4545), (5064) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) e4 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5065) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) e4 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (5066) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5067) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_10_24 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3491), (5068) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) e4 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5069) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5070) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) ~ (all_10_4 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (5071) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) ~ (all_4_10 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (3506), (5044), (5072) are
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) ~ (all_10_9 = e1)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (5073) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) ~ (all_4_15 = e1)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (49), (343), (477), (557), (3518), (4627),
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806), (5040), (5074) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) ~ (all_10_1 = e3)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (5075) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) ~ (all_4_5 = e3)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (4605), (4622), (4798), (5076) are
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (343), (561), (3491), (3518), (5077)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #44.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5078) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_10_8 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (5079) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) e3 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5080) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5081) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) all_10_11 = e1 | all_10_18 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5082) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_10_11 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (4597), (5083) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_10_18 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5084) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) all_4_22 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3498), (5085) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) $false
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5086) is inconsistent.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_10_18 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (514), (4581), (5087) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | (5088) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) all_10_2 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (519), (5089) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | #81.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5090) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) all_10_3 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3462), (5091) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | #60.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5088) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) all_6_9 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5093) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) all_4_21 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_8_55 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4553), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_8_47 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) all_10_17 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) ~ (all_4_1 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) ~ (all_4_11 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) ~ (all_4_20 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) ~ (all_4_22 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5101) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) ~ (all_4_22 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) op(e4, e0) = all_8_19
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (5094) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) op(e3, e0) = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) all_6_4 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (5105) are inconsistent by sub-proof
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5106) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_6_4 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (5100), (5107) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) all_10_4 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5109) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) all_4_10 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5110) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) all_4_10 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (5111) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) all_8_23 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (5111) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) ~ (all_4_11 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (5111) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) ~ (all_4_15 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (5111) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) ~ (all_4_20 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (5111) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) op(e4, e4) = all_8_3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5092) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_10_5 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (517), (3520), (5117) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_10_10 = e2 | all_10_17 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5118) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_10_10 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (5119) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_4_16 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5120) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_4_16 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (5121) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_8_40 = e2
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (5121) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) op(e2, e3) = all_8_16
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (5121) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) op(e2, e1) = all_8_17
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4559) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) all_6_7 = e4
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (5099), (5125) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) ~ (all_6_7 = e4)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) all_6_7 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (5128) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_4_11 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5129) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) all_4_11 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (5130) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) all_8_27 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5130) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) op(e1, e2) = all_8_15
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5130) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) op(e3, e2) = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) all_10_2 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5134) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) all_4_1 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5135) implies:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_4_1 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (5136) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_8_11 = e3
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (5136) imply:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) ~ (all_4_2 = e3)
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5108) gives:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_6_4 = e1
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (5139) are inconsistent by
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #137.
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) ~ (all_6_4 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) all_6_4 = e3 | all_6_4 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5141) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) all_6_4 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (4546), (5142) are inconsistent by
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) all_6_4 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5143) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_4_20 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5144) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) all_4_20 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_8_51 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) ~ (all_4_15 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) ~ (all_4_22 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5148) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) ~ (all_4_22 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4546), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) ~ (e3 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3496), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) ~ (e1 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) op(e0, e4) = all_8_7
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) op(e0, e0) = all_8_8
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5145) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) op(e4, e0) = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_6_14 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5155) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_4_22 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (5156) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_8_59 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5156) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) all_10_18 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5102), (5156) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) ~ (e4 = e2)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (5156) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) ~ (e3 = e2)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5160) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) ~ (e3 = e2)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_8,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3501), (5153) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_8_8 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (132), (5152)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_8_7 = all_4_4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (5132) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_8_15 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17, e1, e2, simplifying with (139), (5124)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) all_8_17 = all_4_17
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16, e3, e2, simplifying with (141), (5123)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) all_8_16 = all_4_7
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_19,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (5103), (5154) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_8_19 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_3,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (5116) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_8_3 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_6_1 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (5169) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) all_4_5 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (5170) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5171) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) ~ (all_6_1 = e2)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) unit = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (5174), (function-axioms) are
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_10_0 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5176) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) e2 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5177) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5178) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_10_1 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (5180) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_4_5 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (5181) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) ~ (all_4_7 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5182) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) ~ (all_4_7 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (5181) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) ~ (e2 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) all_10_6 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (4528), (5185) are inconsistent by
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) all_10_1 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5180), (5187) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) e3 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5188) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) e3 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5189) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5190) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) ~ (all_10_1 = e3)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5180), (5191) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) ~ (e3 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5192) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_10_3 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (3462), (5194) are inconsistent by
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_10_7 = e3 | all_10_13 = e3 | all_10_21 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5186) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) all_10_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5196) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_4_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5197) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_4_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5183), (5198) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5199) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) all_10_7 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5201) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) all_4_7 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5202) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_4_7 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (5203) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5204) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) ~ (all_10_7 = e3)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) all_10_13 = e3 | all_10_21 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5200) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_10_8 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (5207) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) e3 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5208) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5209) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) all_10_11 = e1 | all_10_18 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5210) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_10_11 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (5211) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_4_17 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5212) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_4_17 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (5213) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) op(e1, e2) = all_8_29
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4568) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) all_6_11 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5215) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_4_7 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5216) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) ~ (all_4_2 = e4)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5216) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) op(e2, e3) = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) all_10_0 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (5219) are inconsistent by sub-proof
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_10_20 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5221) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_4_4 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (5222) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) op(e4, e4) = all_8_49
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (5222) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) op(e4, e0) = all_8_48
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5222) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) op(e0, e4) = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_10_6 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (5226) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) all_4_2 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5227) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_4_2 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (5228) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) ~ (e2 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5228) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) op(e0, e4) = all_8_21
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5206) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_10_13 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4515), (5231) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) e3 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5161), (5232) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5233) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_10_21 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5234) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_4_9 = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (5235) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) op(e3, e0) = all_8_52
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_21,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (5225), (5230) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) all_8_21 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_29,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (5214) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) all_8_29 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_52,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5104), (5236) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) all_8_52 = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_48,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (5154), (5224) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_8_48 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_49,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (5223) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) all_8_49 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5175) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) unit = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (16), (25), (5225), (5242),
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #91.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) unit = e3 | unit = e1 | unit = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5243) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) unit = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (5244), (function-axioms) are
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) ~ (unit = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) unit = e3 | unit = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5246) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) unit = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (5247) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) op(e3, e2) = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (5247) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) op(e3, e0) = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5247) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) op(e2, e3) = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (5218), (5250) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) e4 = e2
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e0,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5104), (5249) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) e4 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (5133), (5248) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) e2 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (5251), (5252), (5253) are inconsistent by
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) unit = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5254) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) op(e4, e0) = e4
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5254) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) op(e3, e0) = e3
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (5254) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) op(e1, e0) = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4550), (5104), (5154), (5255), (5256),
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257), (function-axioms) are inconsistent by
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) ~ (all_10_6 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5258) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) ~ (all_4_2 = e0)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (4528), (4576), (5217), (5259) are
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) ~ (all_10_20 = e4)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (5260) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) ~ (all_4_4 = e4)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (313), (352), (385), (400), (470), (534),
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554), (4523), (4528), (4576), (5098), (5217),
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220), (5261) are inconsistent by sub-proof #9.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (3466), (5183), (5262) are
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) all_10_18 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5158), (5263) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) e2 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (5264) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) $false
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5265) is inconsistent.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5266) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) all_10_3 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3462), (5267) are inconsistent by sub-proof
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5268) gives:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) all_10_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5269) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) all_4_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5270) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) all_4_7 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (5271) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) all_8_26 = e1
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (5271) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) ~ (all_4_9 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (5271) imply:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) ~ (all_4_17 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5274) implies:
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) ~ (all_4_17 = e1)
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4519), (5271) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) ~ (e2 = e1)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_10_9 = e1
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5277) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_4_15 = e1
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (5278) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_8_36 = e1
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (5278) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) ~ (all_4_5 = e1)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) all_10_6 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (5281) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) all_4_2 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5282) implies:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_4_2 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (5283) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_8_22 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (5283) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) ~ (all_4_4 = e4)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5285) implies:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) ~ (all_4_4 = e4)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) all_10_20 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5287) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_4_4 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5286), (5288) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) $false
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5289) is inconsistent.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_10_6 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (5281), (5291) are inconsistent by
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5292) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_10_7 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5269), (5293) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) e1 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5294) implies:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) e1 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (5295) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) $false
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5296) is inconsistent.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5290) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) all_10_21 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5298) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_4_9 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (5299) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_8_54 = e4
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (5299) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) ~ (all_4_5 = e4)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_10_1 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (5302) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_4_5 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (5303) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) all_8_12 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_10_9 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (5277), (5305) are inconsistent by sub-proof
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_10_10 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5119), (5307) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) e3 = e2
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5161), (5308) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) $false
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5309) is inconsistent.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5179) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_10_2 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (5134), (5311) are inconsistent by
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #185.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5312) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_10_6 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (5281), (5313) are inconsistent by
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_10_12 = e0 | all_10_20 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5310) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_10_11 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (548), (5315) are inconsistent by sub-proof
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) all_10_15 = e3 | all_10_23 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5316) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) all_10_15 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (5317) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) e4 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5318) implies:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) e4 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (5319) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) $false
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5320) is inconsistent.
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_10_23 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (5321) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_4_19 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5322) implies:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_4_19 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (5323) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_8_62 = e3
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5323) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) ~ (all_4_4 = e3)
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_10_20 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5326) imply:
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_4_4 = e0
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.12/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (5327) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_8_50 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (5327) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) ~ (e2 = e0)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_14 = e2) & ~ (all_8_26 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5330) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5331) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5332) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5333) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) ~ (all_8_11 = all_8_12)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5137), (5304), (5334) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5335) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5336) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) ~ (all_8_22 = all_8_23)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5284), (5337) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5338) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_8 = e4 & ~ (all_8_7 = e0)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 &
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5339) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5340) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) ~ (all_8_35 = all_8_36)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4526), (5279), (5341) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5342) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5343) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5344) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_8_8 = e4
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5162), (5345) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) e4 = e1
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5346) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5347) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5348) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) ~ (all_8_11 = all_8_12)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5137), (5304), (5349) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5350) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5351) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5352) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5353) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_8_15 = e3
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5164), (5354) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) e3 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5355) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5356) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_8_17 = e3
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5165), (5358) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) all_4_17 = e3
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (5359) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5360) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5361) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5362) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_8_19 = e3
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5167), (5363) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) e3 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5364) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) e3 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5365) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5366) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)) | (all_8_25 = e2 & ~ (all_8_24 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_26 = all_8_27))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5367) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5368) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) ~ (all_8_22 = all_8_23)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5112), (5284), (5369) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5370) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5371) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) ~ (all_8_26 = all_8_27)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5131), (5272), (5372) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5373) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44)) | (all_8_47 = e1 & ~ (all_8_46 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_48 = e4) & ~ (all_8_50 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_53 = e0 & ~ (all_8_52 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_56 = e2) & ~ (all_8_58 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5374) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5375) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5376) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5377) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) ~ (all_8_43 = all_8_44)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (440), (446), (5378) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) ~ (all_4_17 = e0)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5379) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) ~ (all_4_17 = e0)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5297) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_10_8 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (5381) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) e3 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5382) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5383) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) all_10_11 = e0 | all_10_18 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5384) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) all_10_11 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (5380), (5385) are inconsistent by
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #161.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) all_10_18 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5158), (5386) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) e2 = e0
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5387) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5388) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5389) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) ~ (all_8_58 = all_8_59)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3516), (5157), (5390) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5391) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5392) gives:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5393) implies:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) ~ (all_8_35 = all_8_36)
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4526), (5279), (5394) imply:
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) $false
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5395) is inconsistent.
% 73.34/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)) | (all_8_42 = e1 & ~ (all_8_41 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_43 = all_8_44))
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5396) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5397) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) ~ (all_8_39 = all_8_40)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4518), (5122), (5398) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5399) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3517), (5400) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_52 = e3) & ~ (all_8_54 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51))
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5402) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5096), (5403) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #39.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_51)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5404) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) ~ (all_8_50 = all_8_51)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5146), (5328), (5405) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5406) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5407) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) ~ (all_8_54 = all_8_55)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5095), (5300), (5409) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5410) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5411) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (3526), (5412) are inconsistent by
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5413) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) ~ (all_8_62 = all_8_63)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4544), (5324), (5414) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5415) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) ~ (all_10_20 = e0)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (5416) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) ~ (all_4_4 = e0)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (369), (535), (5314), (5417) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #82.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) ~ (all_10_1 = e3)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (5418) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) ~ (all_4_5 = e3)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (5173), (5280), (5301), (5419) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (343), (561), (3491), (3518), (5420)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #44.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5421) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_10_7 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5269), (5422) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) e4 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5423) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5424) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5425) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_10_8 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (5426) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_10_11 = e4 | all_10_18 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5427) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_10_11 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (559), (5428) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #102.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_10_18 = e4
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (5158), (5429) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #154.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (343), (375), (515), (3495), (5119),
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275), (5430) are inconsistent by sub-proof #25.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) all_10_13 = e1 | all_10_21 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5431) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_10_13 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (4515), (5432) are inconsistent by sub-proof
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_10_21 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5433) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_4_9 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3493), (5434) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5435) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (5102), (5149), (5436) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) ~ (all_10_2 = e3)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (5437) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) ~ (all_4_1 = e3)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3463), (4527), (4571), (5098), (5438) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) all_6_7 = e3 | all_6_7 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (474), (542), (543), (5439) are inconsistent by
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_10_17 = e2
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5097), (5440) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) e4 = e2
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5441) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5442) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) ~ (all_10_4 = e4)
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (409), (471), (474), (540), (541), (542),
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543), (3506), (4559), (5099), (5443) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (3497), (4547), (5444) are
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | (5445) all_6_19 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5445) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | (5446) all_4_23 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | REDUCE: (556), (5446) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | | | (5447) $false
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | | CLOSE: (5447) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | (5448) ~ (all_10_12 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REDUCE: (369), (5448) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5449) ~ (all_4_3 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REF_CLOSE: (102), (475), (498), (535), (536), (556), (563),
% 73.34/10.91 | | | | | | | | | | | | | | | (3499), (3512), (4511), (5449) are inconsistent by
% 73.34/10.91 | | | | | | | | | | | | | | | sub-proof #6.
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | (5450) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | BETA: splitting (5450) gives:
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | (5451) all_10_14 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | COMBINE_EQS: (363), (5451) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5452) e2 = e0
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REDUCE: (16), (5452) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5453) $false
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | CLOSE: (5453) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | (5454) all_10_15 = e2 | all_10_19 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | BETA: splitting (5454) gives:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | (5455) all_10_15 = e2
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (5455) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5456) e4 = e2
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (20), (5456) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5457) $false
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | CLOSE: (5457) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | (5458) all_10_19 = e2
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REF_CLOSE: (355), (4512), (5458) are inconsistent by
% 73.34/10.91 | | | | | | | | | | | | | | | | sub-proof #152.
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | End of split
% 73.34/10.91 | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | (5459) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 73.34/10.91 | | | | | | | | | | | all_6_22 = e0
% 73.34/10.91 | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | BETA: splitting (5459) gives:
% 73.34/10.91 | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | (5460) all_6_22 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | COMBINE_EQS: (493), (5460) imply:
% 73.34/10.91 | | | | | | | | | | | | (5461) all_4_14 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | SIMP: (5461) implies:
% 73.34/10.91 | | | | | | | | | | | | (5462) all_4_14 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | COMBINE_EQS: (461), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5463) all_8_58 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | COMBINE_EQS: (608), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5464) all_8_42 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | COMBINE_EQS: (346), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5465) all_10_22 = e4
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (100), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5466) ~ (all_4_4 = e4)
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (75), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5467) ~ (all_4_9 = e4)
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (69), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5468) ~ (all_4_10 = e4)
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (64), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5469) ~ (all_4_11 = e4)
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (595), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5470) op(e4, e2) = all_8_57
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | REDUCE: (596), (5462) imply:
% 73.34/10.91 | | | | | | | | | | | | (5471) op(e4, e0) = all_8_56
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | BETA: splitting (3506) gives:
% 73.34/10.91 | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | (5472) all_6_2 = e4
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | REF_CLOSE: (471), (5468), (5472) are inconsistent by
% 73.34/10.91 | | | | | | | | | | | | | sub-proof #255.
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | (5473) ~ (all_6_2 = e4)
% 73.34/10.91 | | | | | | | | | | | | | (5474) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | BETA: splitting (318) gives:
% 73.34/10.91 | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | (5475) all_10_4 = e2
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | COMBINE_EQS: (409), (5475) imply:
% 73.34/10.91 | | | | | | | | | | | | | | (5476) all_4_10 = e2
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | SIMP: (5476) implies:
% 73.34/10.91 | | | | | | | | | | | | | | (5477) all_4_10 = e2
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | REDUCE: (529), (5477) imply:
% 73.34/10.91 | | | | | | | | | | | | | | (5478) $false
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | CLOSE: (5478) is inconsistent.
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | Case 2:
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | (5479) all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 |
% 73.34/10.91 | | | | | | | | | | | | | | all_10_22 = e2
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | BETA: splitting (5479) gives:
% 73.34/10.91 | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | (5480) all_10_5 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | COMBINE_EQS: (517), (5480) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5481) all_4_11 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | SIMP: (5481) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | (5482) all_4_11 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | COMBINE_EQS: (392), (5482) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5483) all_8_27 = e2
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REDUCE: (63), (5482) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5484) ~ (all_4_16 = e2)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | SIMP: (5484) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | (5485) ~ (all_4_16 = e2)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REDUCE: (62), (5482) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5486) ~ (all_4_21 = e2)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | SIMP: (5486) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | (5487) ~ (all_4_21 = e2)
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | REDUCE: (574), (5482) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | (5488) op(e2, e3) = all_8_14
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | BETA: splitting (5474) gives:
% 73.34/10.91 | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | Case 1:
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | (5489) all_6_2 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (5489) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5490) all_4_10 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | SIMP: (5490) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5491) all_4_10 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5492) all_8_23 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5493) all_10_4 = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (93), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5494) ~ (all_4_5 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (68), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5495) ~ (all_4_15 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | SIMP: (5495) implies:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5496) ~ (all_4_15 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (67), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5497) ~ (all_4_20 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (5468), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5498) ~ (e4 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (540), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5499) ~ (e3 = e1)
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (570), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5500) op(e1, e4) = all_8_3
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (571), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5501) op(e1, e2) = all_8_4
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | REDUCE: (150), (5491) imply:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5502) op(e4, e2) = e1
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_4,
% 73.34/10.91 | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (5501) gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5503) all_8_4 = e0
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3,
% 73.34/10.91 | | | | | | | | | | | | | | | | all_8_3, e4, e1, simplifying with (137), (5500)
% 73.34/10.91 | | | | | | | | | | | | | | | | gives:
% 73.34/10.91 | | | | | | | | | | | | | | | | (5504) all_8_3 = all_4_3
% 73.34/10.91 | | | | | | | | | | | | | | | |
% 73.34/10.91 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 73.34/10.91 | | | | | | | | | | | | | | | | all_8_14, e3, e2, simplifying with (141), (5488)
% 73.34/10.91 | | | | | | | | | | | | | | | | gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | (5505) all_8_14 = all_4_7
% 73.34/10.92 | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20,
% 73.34/10.92 | | | | | | | | | | | | | | | | all_8_56, e0, e4, simplifying with (148), (5471)
% 73.34/10.92 | | | | | | | | | | | | | | | | gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | (5506) all_8_56 = all_4_20
% 73.34/10.92 | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_57,
% 73.34/10.92 | | | | | | | | | | | | | | | | e2, e4, simplifying with (5470), (5502) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | (5507) all_8_57 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5508) all_6_21 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5508) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5509) all_4_9 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5510) all_10_21 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | REDUCE: (79), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5511) ~ (all_4_8 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | REDUCE: (74), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5512) ~ (all_4_19 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | SIMP: (5512) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5513) ~ (all_4_19 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | REDUCE: (5467), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5514) ~ (e4 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | REDUCE: (591), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5515) op(e2, e3) = all_8_53
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | REDUCE: (592), (5509) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | (5516) op(e2, e0) = all_8_52
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | (5517) all_10_12 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (523), (5517) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | #151.
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | (5518) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | all_10_19 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | (5519) all_10_9 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (531), (5519) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | #66.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | (5520) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | all_10_23 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | (5521) all_10_13 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (5511), (5521) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | (5522) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5522) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | (5523) all_10_14 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (5523) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | (5524) e2 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5524) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | (5525) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5525) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | (5526) all_10_15 = e2 | all_10_19 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5520) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | (5527) all_10_10 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (5527) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | (5528) all_4_16 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5528) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | (5529) all_4_16 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5485), (5529) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | (5530) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5530) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | (5531) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5531) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5532) all_10_11 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (5532) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5533) all_4_17 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5533) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5534) all_4_17 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (5534) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5535) ~ (all_4_7 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (5534) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5536) ~ (e3 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5536) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | (5537) ~ (e3 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_10_9 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (5496), (5538) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (5539) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5539) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_10_10 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (5540) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_4_16 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5541) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5542) all_4_16 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (5542) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5543) ~ (all_4_1 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5542) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5544) ~ (all_4_19 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (5542) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (5545) ~ (all_4_21 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5526) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) all_10_15 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (5546) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) e4 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5547) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5548) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) all_10_19 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (5549) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_4_23 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5550) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) all_4_23 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (5551) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) ~ (all_4_22 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (5551) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) op(e2, e0) = all_8_47
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5551) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) op(e1, e0) = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47, e0, e2, simplifying with (138), (5553)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) all_8_47 = all_4_22
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_52,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47, e0, e2, simplifying with (5516), (5553)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) all_8_47 = all_8_52
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53, e3, e2, simplifying with (141), (5515)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) all_8_53 = all_4_7
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5555), (5556) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) all_8_52 = all_4_22
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_6_16 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (5511), (5559) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) ~ (all_6_16 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) all_6_20 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (5562) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) ~ (all_6_20 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) all_6_1 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (5565) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #260.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) ~ (all_6_1 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) all_6_11 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5568) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) all_4_7 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5535), (5569) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5570) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) ~ (all_6_11 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) all_6_9 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (5487), (5573) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #149.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) all_6_3 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (5575) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) ~ (all_6_3 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_6_5 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (5578) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) all_4_1 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (5579) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5580) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) ~ (all_6_5 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) all_6_14 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (5552), (5583) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) ~ (all_6_14 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) unit = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (5586), (function-axioms) are
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) all_6_10 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (521), (5588) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #257.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) ~ (all_6_10 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_6_4 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (5591) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) ~ (all_6_4 = e2)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) all_10_12 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (5594) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) all_4_3 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5595) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) all_4_3 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (5596) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) ~ (all_4_4 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (5596) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) ~ (all_4_8 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5598) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) ~ (all_4_8 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) all_10_12 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5594), (5600) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) e3 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5601) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5602) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5603) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) all_10_13 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (5604) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_4_8 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5605) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_4_8 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (5606) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) ~ (all_4_5 = e3)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5606) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) op(e3, e3) = all_8_38
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_10_1 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (5609) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) all_4_5 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5494), (5610) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5611) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) ~ (all_10_1 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5613) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_10_3 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3462), (5614) are inconsistent by sub-proof
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5615) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) all_10_7 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5616) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_4_7 = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5617) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) ~ (all_4_2 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5617) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) ~ (all_4_22 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5535), (5617) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) ~ (e2 = e1)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (5617) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) op(e1, e2) = all_8_24
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5617) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) op(e2, e3) = e1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_10_1 = e4
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (5623) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_4_5 = e4
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (5624) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) ~ (all_4_15 = e4)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (5624) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) ~ (all_4_20 = e4)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5626) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) ~ (all_4_20 = e4)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (5624) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) op(e4, e4) = all_8_1
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (5621) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_8_24 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_38,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (5608) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_8_38 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (5628) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) all_8_1 = e2
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_10_20 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5632) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) all_4_4 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5633) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) all_4_4 = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5634) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) ~ (all_4_1 = e3)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (5634) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) op(e3, e4) = all_8_49
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5634) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) op(e0, e4) = e3
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) all_10_0 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5638) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) e2 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5639) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5640) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) ~ (all_10_0 = e0)
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_10_20 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (5632), (5643) are inconsistent by
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_10_21 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5510), (5645) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) e2 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5646) implies:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) e2 = e0
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5647) imply:
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) $false
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5648) is inconsistent.
% 73.34/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) all_10_22 = e0 | all_10_23 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5649) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) all_10_22 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5465), (5650) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) e4 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5651) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) e4 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (5652) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) $false
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5653) is inconsistent.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_10_23 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (5654) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_4_19 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5655) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_4_19 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (5656) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) ~ (all_4_15 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3495), (5656) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) ~ (e1 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5642) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_10_2 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (3463), (5659) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) ~ (all_10_2 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5661) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_10_6 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (5662) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) all_4_2 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5663) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_4_2 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5664) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) op(e0, e4) = all_8_21
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_10_0 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (416), (5666) are inconsistent by sub-proof
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5667) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) all_10_2 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5668) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_4_1 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5669) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) all_4_1 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (5670) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) op(e4, e4) = all_8_10
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5670) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) op(e3, e4) = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_10_16 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (5673) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) all_4_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5674) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_4_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5675) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) ~ (all_4_22 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5676) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) ~ (all_4_22 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (5675) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) ~ (e2 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (5675) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) op(e0, e4) = all_8_7
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5675) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) op(e4, e0) = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) all_10_9 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5681) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) all_4_15 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5682) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) all_4_15 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5683) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) op(e3, e4) = all_8_5
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5585) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_6_14 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5685) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_4_22 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (5686) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) op(e4, e0) = all_8_32
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (5686) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) op(e2, e0) = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (5665), (5679)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_8_7 = all_8_21
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_7,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (5637), (5679) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_8_7 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_49,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e3, simplifying with (5636), (5684)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_8_5 = all_8_49
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_5,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (5672), (5684) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_8_5 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (5680), (5687) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) all_8_32 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_10,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (5671) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) all_8_10 = e2
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5691), (5692) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_8_49 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5695) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_8_49 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5689), (5690) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_8_21 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5697) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_8_21 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5587) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) unit = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5699) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) op(e4, e4) = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5699) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) op(e3, e4) = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (5699) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) op(e0, e4) = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (5637), (5672), (5700), (5701),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702), (function-axioms) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) unit = e3 | unit = e1 | unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5703) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) unit = e1
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (5704), (function-axioms) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) ~ (unit = e1)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) unit = e3 | unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5706) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) unit = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (5622), (5707), (function-axioms) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (5554), (5680), (5688), (5705),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708), (function-axioms) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (550), (3498), (5677), (5709) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) ~ (all_10_9 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (5710) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) ~ (all_4_15 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (5496), (5577), (5657), (5711) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) ~ (all_10_16 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (5712) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) ~ (all_4_20 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_10_9 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5714) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_4_15 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5715) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) ~ (all_4_20 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5716) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) ~ (all_4_20 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (5593), (5627), (5713), (5717) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) ~ (all_10_9 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (5718) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) ~ (all_4_15 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (557), (5496), (5577), (5657), (5719) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (554), (5466), (5594), (5662), (5720)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #126.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) ~ (all_10_6 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5721) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) ~ (all_4_2 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (118), (119), (306), (324),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (366), (369), (400), (468), (470), (479),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (534), (538), (539), (3463), (5549),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5582), (5590), (5599), (5618), (5635),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) are inconsistent by sub-proof #34.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) ~ (all_10_20 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (352), (5723) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) ~ (all_4_4 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) all_10_0 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (5537), (5725) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5726) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) all_10_2 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5727) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_4_1 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5728) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_4_1 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5729) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) ~ (all_4_4 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5729) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) op(e3, e3) = all_8_9
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_6_20 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5466), (5732) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) ~ (all_6_20 = e4)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_10_16 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (5735) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_4_20 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_4_20 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (5737) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) ~ (all_4_21 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5738) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (all_4_21 = e3)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5734) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_6_20 = e1
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (5740) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_6_20 = e3 | all_6_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5741) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_6_20 = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5724), (5742) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) all_6_20 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5743) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) all_4_4 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5744) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_4_4 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5745) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) ~ (all_4_19 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5746) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) ~ (all_4_19 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5724), (5745) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) ~ (e3 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (5745) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) ~ (e2 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) all_10_16 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (5735), (5750) are inconsistent by
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) all_10_9 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5752) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) all_4_15 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5753) implies:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_4_15 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (5754) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) op(e4, e1) = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_6_9 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5756) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) all_4_21 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5757) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_10_17 = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5751) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) all_10_17 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5758), (5759) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) e4 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (5760) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) $false
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5761) is inconsistent.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) all_10_18 = e0 | all_10_19 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5762) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_10_18 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5763) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_4_22 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3498), (5764) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) ~ (e1 = e0)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (5764) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) op(e2, e0) = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_9,
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (5731) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_8_9 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5587) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) unit = e4
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (5755), (5768), (function-axioms) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) unit = e3 | unit = e1 | unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5769) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) unit = e1
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5770) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) op(e3, e1) = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (15), (16), (23), (3476),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554), (5766), (5769), (5771), (function-axioms)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) ~ (unit = e1)
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) unit = e3 | unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5773) gives:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) unit = e3
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (5622), (5774), (function-axioms) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) unit = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5554), (5766), (5772), (5775),
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) all_10_19 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5549), (5776) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) e2 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5777) imply:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) $false
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5778) is inconsistent.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (3497), (5739), (5779) are
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 73.34/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (343), (391), (515), (554), (3472), (5532),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747), (5780) are inconsistent by sub-proof #14.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) ~ (all_10_16 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (5781) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) ~ (all_4_20 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_6_4 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5783) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) all_4_20 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5627), (5784) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5785) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5786) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_6_4 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (5787) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_4_20 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3496), (5788) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5789) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_6_4 = e3 | all_6_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5734) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_6_20 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (5791) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_6_20 = e3 | all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5792) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_6_20 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5724), (5793) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5794) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_4_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5795) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) all_4_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5796) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) ~ (all_4_19 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5797) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) ~ (all_4_19 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (5796) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) ~ (e2 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) all_10_9 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5800) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) all_4_15 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5801) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) all_4_15 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5802) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) ~ (all_4_20 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5803) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) ~ (all_4_20 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5790) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) all_6_4 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (5782), (5805) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) all_6_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (5804), (5806) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #135.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (343), (391), (515), (554), (3472), (5532),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798), (5807) are inconsistent by sub-proof #14.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) ~ (all_10_2 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (5808) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) ~ (all_4_1 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_6_20 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5811) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) all_4_4 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (352), (5812) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) all_10_20 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (385), (534), (5594), (5809), (5813)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #186.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5814) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) all_6_20 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5815) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) all_4_4 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (5816) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5817) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) ~ (all_6_20 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) all_6_20 = e3 | all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5819) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_6_20 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5820) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) all_4_4 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5724), (5821) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5822) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5823) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) all_4_4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (5824) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) ~ (all_4_2 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (5824) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) ~ (e1 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (118), (119), (306), (324),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (366), (369), (400), (468), (470), (479),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (534), (538), (539), (3463), (5549),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561), (5582), (5590), (5599), (5618), (5810),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) are inconsistent by sub-proof #34.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) ~ (all_10_1 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (5827) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) ~ (all_4_5 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (469), (471), (540), (541), (3464), (3506),
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468), (5567), (5607), (5828) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) ~ (all_10_7 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (516), (5829) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) ~ (all_4_7 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5567) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) all_6_1 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (5831) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_4_5 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5832) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) all_4_5 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (5833) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) ~ (all_4_7 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5834) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) ~ (all_4_7 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (3466), (5572), (5830), (5835) are
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #123.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (3464), (5494), (5607), (5836) are
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #234.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (515), (544), (5537), (5549), (5837)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #98.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5838) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) all_10_13 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (5839) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) all_4_8 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5840) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_4_8 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (5841) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) ~ (all_4_3 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (5841) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) ~ (all_4_7 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_6_15 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5844) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) all_4_3 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (5845) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5846) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5847) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_6_15 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5848) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_4_3 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5842), (5849) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5850) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_6_15 = e3 | all_6_15 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) all_6_11 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5852) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) all_4_7 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5853) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) all_4_7 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5854) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) ~ (all_4_22 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5855) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) ~ (all_4_22 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (5854) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) op(e4, e3) = all_8_25
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5854) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) op(e2, e3) = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5851) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) all_6_15 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5859) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) all_4_3 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5860) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) all_4_3 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5861) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) ~ (all_4_1 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (5861) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) ~ (all_4_4 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5863) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) ~ (all_4_4 = e3)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5861) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) op(e3, e4) = all_8_34
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (5861) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) op(e1, e4) = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5564) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) all_6_20 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5466), (5867) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5868) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) all_6_20 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (5869) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5870) all_6_20 = e3 | all_6_20 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5582) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_6_5 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (5871) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5872) all_4_1 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5872) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) all_4_1 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (5873) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) ~ (all_4_2 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5874) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) ~ (all_4_2 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5873) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) ~ (all_4_21 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5876) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) ~ (all_4_21 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (5873) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) op(e4, e4) = all_8_10
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5873) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) op(e4, e3) = all_8_9
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5873) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) op(e3, e4) = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) all_10_16 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (5881) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) all_4_20 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (5882) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) ~ (all_4_5 = e4)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (5882) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) op(e4, e4) = all_8_7
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5567) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) all_6_1 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (5883), (5885) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_10_16 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5881), (5887) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) e4 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (5888) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5889) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_10_1 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (5891) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_4_5 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (5892) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) op(e3, e4) = all_8_1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (5892) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) op(e3, e3) = all_8_2
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (5892) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) op(e4, e3) = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) all_6_9 = e4
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (5877), (5896) are inconsistent by
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) all_10_6 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (5898) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) all_4_2 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5899) implies:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) all_4_2 = e1
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (5900) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) ~ (all_4_22 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (5900) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) ~ (e2 = e1)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5900) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) op(e1, e4) = all_8_21
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (5900) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) op(e1, e2) = all_8_20
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_10_16 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5881), (5905) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) e4 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (5906) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5907) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_10_17 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5909) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) all_4_21 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3474), (5910) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) $false
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5911) is inconsistent.
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) ~ (all_10_17 = e0)
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) all_10_18 = e0 | all_10_19 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5890) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_10_17 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5914) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_4_21 = e3
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (5915) imply:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) op(e3, e3) = all_8_18
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5913) gives:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) all_10_18 = e0
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5917) imply:
% 73.34/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_4_22 = e0
% 73.34/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.34/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5552), (5918) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) ~ (e2 = e0)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3498), (5918) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) ~ (e1 = e0)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (5918) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e2, e0) = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_20,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (5904) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) all_8_20 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_21,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (5866), (5903) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_8_21 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_2,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (5894) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_8_2 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_18,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e3, simplifying with (5894), (5916)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_8_2 = all_8_18
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_34,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e3, simplifying with (5865), (5893)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) all_8_1 = all_8_34
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_1,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (5880), (5893) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) all_8_1 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_25,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e4, simplifying with (5857), (5879)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_8_9 = all_8_25
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_9,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (5879), (5895) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_8_9 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_7,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (5884) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) all_8_7 = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e4, simplifying with (5878), (5884)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_8_7 = all_8_10
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5926), (5927) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_8_34 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5932) implies:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_8_34 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5924), (5925) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_8_18 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5934) implies:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) all_8_18 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5930), (5931) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) all_8_10 = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5936) implies:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_8_10 = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5928), (5929) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_8_25 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5938) implies:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) all_8_25 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5587) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) unit = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5940) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) op(e4, e4) = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5940) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) op(e3, e4) = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (5940) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) op(e1, e4) = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (25), (5866), (5880), (5941), (5942),
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943), (function-axioms) are inconsistent by
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) unit = e3 | unit = e1 | unit = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5944) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) unit = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5945) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) op(e3, e1) = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (15), (16), (23), (3476),
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554), (5921), (5944), (5946), (function-axioms)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) ~ (unit = e1)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) unit = e3 | unit = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5948) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) unit = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5949) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) op(e4, e3) = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (5949) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) op(e3, e3) = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (5949) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) op(e2, e3) = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (5858), (5952) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) e4 = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3476), (5951) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) e3 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e3,
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (5895), (5950) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) e4 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (5953), (5954), (5955) are inconsistent by
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) unit = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5554), (5921), (5947), (5956),
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #20.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_10_19 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5549), (5957) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) e2 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5958) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) $false
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5959) is inconsistent.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) ~ (all_10_17 = e3)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (388), (491), (3474), (3497), (5897), (5960) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) ~ (all_10_6 = e1)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5961) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) ~ (all_4_2 = e1)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_6_20 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5963) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_4_4 = e3
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5864), (5964) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) $false
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5965) is inconsistent.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_6_20 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5966) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_4_4 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (5967) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) ~ (all_4_2 = e0)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (5590), (5875), (5962), (5968) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) ~ (all_10_1 = e3)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (5969) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) ~ (all_4_5 = e3)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (469), (471), (540), (541), (3464), (3506),
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468), (5886), (5970) are inconsistent by
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_10_17 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5972) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) all_4_21 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5877), (5973) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) $false
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5974) is inconsistent.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (514), (3491), (5549), (5856), (5975)
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3463), (5543), (5862), (5976) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) all_6_15 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (535), (5977) are inconsistent by sub-proof
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #48.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (3466), (5843), (5978) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (515), (5549), (5979) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_10_11 = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5532), (5981) are inconsistent by sub-proof
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | #146.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_10_15 = e1 | all_10_23 = e1
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (343), (515), (3495), (5982) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | (5983) all_10_15 = e2 | all_10_23 = e2
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (343), (515), (5513), (5983) are
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | End of split
% 73.58/10.95 | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.95 | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | (5984) ~ (all_6_21 = e2)
% 73.58/10.95 | | | | | | | | | | | | | | | | | (5985) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 73.58/10.95 | | | | | | | | | | | | | | | | | all_6_21 = e0
% 73.58/10.95 | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | REDUCE: (490), (5984) imply:
% 73.58/10.95 | | | | | | | | | | | | | | | | | (5986) ~ (all_4_9 = e2)
% 73.58/10.95 | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | BETA: splitting (5985) gives:
% 73.58/10.95 | | | | | | | | | | | | | | | | |
% 73.58/10.95 | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.95 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | (5987) all_6_21 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5987) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | (5988) all_4_9 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | REDUCE: (5467), (5988) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | (5989) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | CLOSE: (5989) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | (5990) ~ (all_6_21 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | (5991) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | BETA: splitting (5991) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | (5992) all_6_21 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5992) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | (5993) all_4_9 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | REDUCE: (3493), (5993) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | (5994) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | CLOSE: (5994) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | (5995) ~ (all_6_21 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | (5996) all_6_21 = e3 | all_6_21 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (5996) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (5997) all_6_21 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5997) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (5998) all_4_9 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (5999) all_8_54 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6000) ~ (all_4_4 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6001) ~ (all_4_5 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6002) ~ (all_4_8 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6003) ~ (all_4_19 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | SIMP: (6003) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6004) ~ (all_4_19 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6005) op(e3, e3) = all_8_53
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (5998) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | (6006) op(e3, e0) = all_8_52
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | (6007) all_6_1 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (469), (527), (6007) are inconsistent by sub-proof
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | #260.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | (6008) ~ (all_6_1 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | (6009) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | (6010) all_6_20 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (525), (6010) are inconsistent by sub-proof
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | #256.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | (6011) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6011) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | (6012) all_6_20 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (5466), (6012) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | (6013) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6013) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_6_20 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3492), (6014) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #166.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (6015) ~ (all_6_20 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_6_20 = e3 | all_6_20 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6016) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6017) all_6_20 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (6000), (6017) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_6_20 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (6018) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6019) all_4_4 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6019) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6020) all_4_4 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (6020) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6021) all_8_50 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (6020) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6022) ~ (all_4_2 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (6020) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6023) ~ (all_4_19 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6023) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6024) ~ (all_4_19 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6000), (6020) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6025) ~ (e3 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3492), (6020) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (6026) ~ (e1 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_6_23 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (6027) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) all_4_19 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6028) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) all_4_19 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6029) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_8_62 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (6029) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_10_23 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (6029) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) ~ (all_4_17 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6004), (6029) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) ~ (e3 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6033) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) ~ (e3 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (6029) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) op(e2, e0) = all_8_60
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6009) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_6_1 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (6036) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) all_4_5 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6037) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_4_5 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) all_8_12 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_10_1 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) ~ (all_4_7 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6041) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) ~ (all_4_7 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) ~ (all_4_8 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) ~ (all_4_15 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) ~ (all_4_20 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6045) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) ~ (all_4_20 = e4)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) op(e4, e4) = all_8_1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) op(e4, e3) = all_8_2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (6038) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) op(e4, e3) = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60, e0, e2, simplifying with (138), (6035)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_8_60 = all_4_22
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52, e0, e3, simplifying with (143), (6006)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_8_52 = all_4_21
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_53,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (6005) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_8_53 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_2,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (6048), (6049) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_8_2 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (6047) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_8_1 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) all_6_3 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (531), (6055) are inconsistent by sub-proof
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) ~ (all_6_3 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_6_10 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6058) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_4_2 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (6059) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6060) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) all_6_13 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (484), (6032), (6062) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_6_9 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (6064) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_4_21 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5487), (6065) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6066) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) all_6_4 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (533), (6068) are inconsistent by sub-proof
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) ~ (all_6_4 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_6_16 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (6071) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_4_8 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6072) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) all_4_8 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (6073) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) ~ (all_4_7 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (6073) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) ~ (all_4_23 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6075) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) ~ (all_4_23 = e2)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (6073) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) op(e2, e3) = all_8_38
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_6_11 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (6078) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_4_7 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6074), (6079) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6080) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6081) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6082) all_6_19 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6082) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083) all_4_23 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6083) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084) all_4_23 = e2
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6076), (6084) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6085) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_19 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6081) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) all_6_11 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (6087) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) all_4_7 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6042), (6088) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) $false
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6089) is inconsistent.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6090) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) all_6_11 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (6091) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) all_4_7 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (6092) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) op(e1, e2) = all_8_24
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6092) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) op(e2, e3) = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) all_10_12 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (6095) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) all_4_3 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6096) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) all_4_3 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6097) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) ~ (all_4_1 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (6097) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) ~ (all_4_2 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (6097) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) ~ (all_4_23 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (6097) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) ~ (e2 = e1)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6086) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) all_6_19 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (563), (6102) are inconsistent by sub-proof
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) all_10_0 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (6034), (6104) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6105) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_10_2 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (6106) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) all_4_1 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6107) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) all_4_1 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6108) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) ~ (all_4_2 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (6108) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) ~ (all_4_16 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6110) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) ~ (all_4_16 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) all_6_19 = e1
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3499), (6112) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) all_6_19 = e3 | all_6_19 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_10_9 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (6114) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_4_15 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6115) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_4_15 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6116) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) op(e4, e1) = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6113) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_6_19 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6118) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_4_23 = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (6119) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) ~ (all_4_20 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (6119) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) ~ (all_4_21 = e3)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (6119) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) op(e3, e0) = all_8_47
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6119) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) op(e1, e0) = e3
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_6_10 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6124) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) all_4_2 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6125) implies:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) all_4_2 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6126) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) op(e4, e4) = all_8_21
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6067) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) all_6_9 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (6128) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) all_4_21 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (6129) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) op(e4, e3) = all_8_18
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (6129) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) op(e4, e0) = all_8_19
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (6129) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) op(e3, e0) = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6070) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) all_6_4 = e4
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (6046), (6133) are inconsistent by
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) all_10_16 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (6135) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_4_20 = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (6136) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) ~ (e2 = e0)
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6136) imply:
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) op(e4, e0) = e0
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24,
% 73.58/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (6093) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_8_24 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_38,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6077), (6094) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) all_8_38 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_47,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6122), (6132) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) all_8_47 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_19,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (6131), (6138) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) all_8_19 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_18,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (6049), (6130) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) all_8_18 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_21,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (25), (6127) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_8_21 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) unit = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (6145), (function-axioms) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6146) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) unit = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (6147) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) op(e4, e3) = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (6147) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) op(e4, e1) = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6147) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) op(e4, e4) = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e1,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (6117), (6149) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) e3 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e3,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (6049), (6148) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) e4 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (25), (6150) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) e4 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6152), (6153) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) e3 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (6151), (6154) are inconsistent by sub-proof
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) unit = e3 | unit = e1 | unit = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) unit = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (6156), (function-axioms) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) ~ (unit = e1)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) unit = e3 | unit = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6158) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) unit = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (6159) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) op(e2, e3) = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e3,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (6094), (6160) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) e2 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (6161) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6162) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) unit = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (6163) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) op(e4, e0) = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (6163) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) op(e3, e0) = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (6163) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) op(e1, e0) = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (6123), (6132), (6138), (6164), (6165),
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166), (function-axioms) are inconsistent by
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) ~ (all_10_16 = e0)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (6167) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) ~ (all_4_20 = e0)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3496), (6120), (6134), (6168) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #134.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (3497), (6121), (6169) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (6022), (6099), (6170) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_6_19 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6171) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) all_4_23 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (6172) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6173) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (375), (391), (515), (548), (6031), (6034),
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111), (6174) are inconsistent by sub-proof #107.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) ~ (all_10_2 = e3)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (6175) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) ~ (all_4_1 = e3)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_6_5 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (519), (6177) are inconsistent by sub-proof
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #258.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_6_10 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6179) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_4_2 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6180) implies:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_4_2 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6181) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) ~ (all_4_1 = e4)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (3463), (6098), (6176), (6178), (6182) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (6022), (6099), (6183) are
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #240.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) ~ (all_10_12 = e1)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (6184) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) ~ (all_4_3 = e1)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (475), (498), (535), (536), (556), (563),
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499), (3512), (6086), (6185) are inconsistent by
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_6_11 = e3 | all_6_11 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (537), (3466), (6186) are inconsistent by
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #231.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) ~ (all_6_16 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (6187) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) ~ (all_4_8 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_10_12 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (523), (6190) are inconsistent by sub-proof
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #151.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6191) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_10_13 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (6189), (6192) are inconsistent by
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6193) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_10_14 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (6194) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) e2 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (6195) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6196) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) all_10_15 = e2 | all_10_19 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6197) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_10_15 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (6198) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) e4 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6199) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6200) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_10_19 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (6201) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_4_23 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6202) implies:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_4_23 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6203) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_8_63 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (6203) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (e4 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (6203) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) op(e2, e0) = all_8_47
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (6203) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) op(e1, e0) = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_10_1 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6040), (6208) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) e4 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6209) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6210) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6211) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_10_3 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3462), (6212) are inconsistent by sub-proof
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #60.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_10_12 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (6214) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) all_4_3 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6215) implies:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) all_4_3 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (6216) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_8_35 = e3
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6216) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) ~ (all_4_1 = e3)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6216) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) ~ (e4 = e3)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6216) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) op(e3, e4) = all_8_34
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6216) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) op(e3, e1) = all_8_33
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6213) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_10_7 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6222) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_4_7 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (6223) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_8_26 = e2
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (6223) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) ~ (all_4_8 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (6223) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) ~ (all_4_22 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6226) implies:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) ~ (all_4_22 = e2)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_10_12 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6214), (6228) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) e3 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6229) implies:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) e3 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (6230) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6231) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_6_16 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (6233) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_4_8 = e4
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (6234) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) $false
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6235) is inconsistent.
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) ~ (all_6_16 = e4)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6237) gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) all_6_16 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (6238) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_4_8 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (6239) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_8_39 = e1
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6189), (6239) imply:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) ~ (e2 = e1)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_22,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47, e0, e2, simplifying with (138), (6206)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_8_47 = all_4_22
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_33, e1, e3, simplifying with (144), (6221)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_8_33 = all_4_16
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_34, e4, e3, simplifying with (147), (6220)
% 73.58/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_8_34 = all_4_1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_6_5 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (6245) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_4_1 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (6246) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6247) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) ~ (all_6_5 = e2)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_6_8 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (6250) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) all_4_16 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6251) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_4_16 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5485), (6252) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6253) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e1 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) unit = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (6255), (function-axioms) are
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) all_10_6 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (6257) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) all_4_2 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6258) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) all_4_2 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (6259) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) ~ (all_4_22 = e4)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6260) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) ~ (all_4_22 = e4)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_10_16 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (6046), (6262) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6263) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) all_10_17 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (6264) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_4_21 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6265) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) ~ (all_4_1 = e4)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_10_0 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (6267) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) e2 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (6268) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6269) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_10_2 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (6218), (6271) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) ~ (all_10_2 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) all_10_3 = e3 | all_10_5 = e3 | all_10_10 = e3 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) all_10_0 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (6034), (6274) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) ~ (all_10_0 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6270) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_10_2 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (6277) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_4_1 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6278) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_4_1 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (6279) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) ~ (all_4_16 = e1)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6280) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) ~ (all_4_16 = e1)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6276) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) all_10_1 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6040), (6282) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) e4 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (6283) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6284) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) ~ (all_10_1 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6286) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_10_4 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5493), (6287) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) e3 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (6288) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6289) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) ~ (all_10_4 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_10_9 = e3 | all_10_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6291) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_10_9 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (6292) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_4_15 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6293) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_4_15 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (6294) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) ~ (all_4_16 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6295) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) ~ (all_4_16 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6254) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_6_8 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (6297) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_4_16 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6298) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_4_16 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (6299) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6300) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6301) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_6_8 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (6302) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_4_16 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6303) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_4_16 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6281), (6304) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6305) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_6_8 = e3 | all_6_8 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6306) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_6_8 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (6307) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) all_4_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6308) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_4_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6296), (6309) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6310) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_6_8 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (6311) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) all_4_16 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6312) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_4_16 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3472), (6313) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6314) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) all_10_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6273) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_10_3 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (3462), (6316) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) ~ (all_10_3 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) all_10_5 = e3 | all_10_10 = e3 | all_10_17 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6057) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_6_3 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6319) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_4_15 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (6320) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6321) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_10_16 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (6315), (6323) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6324) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_10_17 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6264), (6325) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) e4 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6326) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6327) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_10_18 = e0 | all_10_19 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_10_5 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5480), (6329) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) e3 = e2
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6034), (6330) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6331) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_10_10 = e3 | all_10_17 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6332) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_10_10 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (6333) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_4_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6334) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) all_4_16 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (6335) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) ~ (all_4_15 = e3)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (6335) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) op(e3, e3) = all_8_16
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (6335) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) op(e3, e1) = all_8_17
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (6335) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) op(e3, e1) = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) all_10_9 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (5496), (6340) are inconsistent by
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6341) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_10_10 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (6333), (6342) are inconsistent by sub-proof
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #170.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6343) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) all_10_11 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (6344) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) all_4_17 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6345) implies:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) all_4_17 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (6346) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) ~ (all_4_22 = e1)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (6346) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) op(e1, e2) = all_8_29
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_10_9 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (6349) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_4_15 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (6350) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) ~ (e2 = e0)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6350) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) op(e4, e1) = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6328) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_10_18 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6353) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_4_22 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (6354) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) op(e2, e0) = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_29,
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (23), (6348) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_8_29 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_17,
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (6338), (6339) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_8_17 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_16,
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3476), (6337) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_8_16 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6256) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) unit = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15), (6352), (6359), (function-axioms) are
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) unit = e3 | unit = e1 | unit = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (8), (9), (15), (16), (23), (3476),
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207), (6339), (6355), (6360), (function-axioms)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #3.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_10_19 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6201), (6361) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) e2 = e0
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (6362) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6363) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) ~ (all_10_9 = e0)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (6364) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) ~ (all_4_15 = e0)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (5496), (6322), (6336), (6365) are
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_10_15 = e1 | all_10_23 = e1
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (515), (6031), (6366) are inconsistent
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #244.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_10_17 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6264), (6367) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) e4 = e3
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (6368) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) $false
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6369) is inconsistent.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) ~ (all_10_2 = e1)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (6370) imply:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) ~ (all_4_1 = e1)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (118), (308), (363), (366), (369), (468),
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (515), (3463), (3469), (3493), (5467),
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985), (5986), (6201), (6249), (6266), (6371) are
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (514), (3491), (6201), (6261), (6372)
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2.
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6373) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6373) gives:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6374) all_10_7 = e4
% 73.58/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (6222), (6374) are inconsistent by sub-proof
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6375) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6375) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6376) all_10_8 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (379), (6376) are inconsistent by sub-proof
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6377) all_10_11 = e4 | all_10_18 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6377) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6378) all_10_11 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (559), (6378) are inconsistent by sub-proof
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #102.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6379) all_10_18 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6379) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6380) all_4_22 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (6380) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6381) all_8_59 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6242), (6380) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6382) all_8_47 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (6380) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6383) ~ (all_4_2 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6061) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6384) all_6_10 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (6383), (6384) are inconsistent by
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6385) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6386) all_10_2 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (6386) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6387) all_4_1 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6387) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6388) all_4_1 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6244), (6388) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6389) all_8_34 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (6388) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6390) all_8_11 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6388) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6391) ~ (all_4_2 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (6388) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392) ~ (all_4_16 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6388) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6393) ~ (all_4_21 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6393) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6394) ~ (all_4_21 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3452) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6395) all_10_16 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (6395) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6396) all_4_20 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6396) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6397) all_4_20 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (6397) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6398) all_8_51 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (6397) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6399) ~ (all_4_15 = e0)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6400) all_10_16 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6395), (6400) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6401) e3 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (6401) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6402) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6402) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6403) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6057) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6404) all_6_3 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6404) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6405) all_4_15 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (6405) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6406) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6406) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6407) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6407) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6408) all_6_3 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6408) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6409) all_4_15 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5496), (6409) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6410) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6410) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6411) all_6_3 = e3 | all_6_3 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6411) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6412) all_6_3 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6412) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6413) all_4_15 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (6413) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6414) all_8_36 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (6413) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6415) all_10_9 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6067) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6416) all_6_9 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (6416) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6417) all_4_21 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6394), (6417) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6418) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6418) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6419) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6419) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6420) all_6_9 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (6420) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6421) all_4_21 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3497), (6421) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6422) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6422) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6423) all_6_9 = e3 | all_6_9 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6424) all_10_17 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (6424) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6425) all_4_21 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (6425) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6426) all_8_55 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6385) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6427) all_6_10 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6427) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6428) all_4_2 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6428) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6429) all_4_2 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (6429) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6430) all_8_22 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (6429) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6431) ~ (all_4_17 = e1)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6431) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6432) ~ (all_4_17 = e1)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6433) all_10_9 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6415), (6433) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6434) e3 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (6434) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6435) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6435) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6436) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6436) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6437) all_10_10 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (6437) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6438) all_4_16 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6438) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_4_16 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (6439) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) all_8_40 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6063) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_6_13 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6441) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) all_4_17 = e4
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (6442) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6443) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) ~ (all_6_13 = e4)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6445) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_6_13 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6446) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) all_4_17 = e1
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6432), (6447) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6448) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) ~ (all_6_13 = e1)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_6_13 = e3 | all_6_13 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6450) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) all_6_13 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6451) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) all_4_17 = e3
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (6452) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6453) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) all_6_13 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (6454) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) all_4_17 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (6455) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) all_8_44 = e0
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12)) | (all_8_15 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_14 = e2) & ~ (all_8_26 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23)) | (all_8_6 = e4 & ~
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_35 = all_8_36)) |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)) | (all_8_4 = e4 & ~ (all_8_3 = e2)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_22 = all_8_23))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6459) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_11 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6460) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) ~ (all_8_11 = all_8_12)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6039), (6390), (6461) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6462) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (554), (5503), (6463) are inconsistent by
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_8 = e4 & ~ (all_8_7 = e0)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_50 = all_8_51)) | (all_8_10 = e3 &
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_11 = all_8_12))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6464) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_35 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6465) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) ~ (all_8_35 = all_8_36)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6217), (6414), (6466) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6467) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_10 = e3 & ~ (all_8_9 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_11 = all_8_12))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6468) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_50 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6469) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) ~ (all_8_50 = all_8_51)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6021), (6398), (6470) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6471) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_11 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6472) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) ~ (all_8_11 = all_8_12)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6039), (6390), (6473) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6474) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40)) | (all_8_19 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_18 = e0) & ~ (all_8_54 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6475) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) (all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)) | (all_8_17 = e3 & ~ (all_8_16 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_39 = all_8_40))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6476) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) all_8_15 = e3 & ~ (all_8_14 = e2) & ~ (all_8_26
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6477) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) ~ (all_8_26 = all_8_27)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5483), (6224), (6478) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6479) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) all_8_17 = e3 & ~ (all_8_16 = e1) & ~ (all_8_39
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6480) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) ~ (all_8_39 = all_8_40)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6240), (6440), (6481) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6482) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) (all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_22 = all_8_23)) | (all_8_25 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_24 = e3) & ~ (all_8_26 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6483) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) all_8_19 = e3 & ~ (all_8_18 = e0) & ~ (all_8_54
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6484) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) ~ (all_8_54 = all_8_55)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5999), (6426), (6485) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6486) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) (all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)) | (all_8_25 = e2 & ~ (all_8_24 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_26 = all_8_27))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6487) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) all_8_21 = e2 & ~ (all_8_20 = e4) & ~ (all_8_22
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_23)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6488) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) ~ (all_8_22 = all_8_23)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5492), (6430), (6489) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6490) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) all_8_25 = e2 & ~ (all_8_24 = e3) & ~ (all_8_26
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_27)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6491) implies:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) ~ (all_8_26 = all_8_27)
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5483), (6224), (6492) imply:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) $false
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6493) is inconsistent.
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44)) | (all_8_47 = e1 & ~ (all_8_46 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_62 = all_8_63)) | (all_8_49 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_48 = e4) & ~ (all_8_50 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51)) | (all_8_53 = e0 & ~ (all_8_52 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_54 = all_8_55)) | (all_8_57 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_56 = e2) & ~ (all_8_58 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6494) gives:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59)) | (all_8_34 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_33 = e4) & ~ (all_8_35 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 73.58/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6495) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) (all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)) | (all_8_32 = e2 & ~ (all_8_31 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_59))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6496) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) all_8_30 = e2 & ~ (all_8_29 = e1) & ~ (all_8_43
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6497) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) ~ (all_8_43 = all_8_44)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (6456), (6498) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6499) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_8_32 = e2 & ~ (all_8_31 = e0) & ~ (all_8_58
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6500) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) ~ (all_8_58 = all_8_59)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5463), (6381), (6501) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6502) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) (all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)) | (all_8_38 = e1 & ~ (all_8_37 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_39 = all_8_40)) | (all_8_42 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_41 = e2) & ~ (all_8_43 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6503) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_8_34 = e1 & ~ (all_8_33 = e4) & ~ (all_8_35
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_36)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) all_8_34 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6389), (6505) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) e4 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6379), (6506) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_10_18 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (375), (559), (6377), (6507) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) (all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)) | (all_8_42 = e1 & ~ (all_8_41 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_43 = all_8_44))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6508) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_8_38 = e1 & ~ (all_8_37 = e3) & ~ (all_8_39
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_40)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6509) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) ~ (all_8_39 = all_8_40)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6240), (6440), (6510) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6511) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_44)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_8_42 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5464), (6513) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) e4 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (375), (559), (6377), (6379), (6514) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51)) | (all_8_53 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_52 = e3) & ~ (all_8_54 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6515) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) (all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)) | (all_8_49 = e0 & ~ (all_8_48 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_50 = all_8_51))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6516) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6517) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_8_47 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6382), (6518) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) e4 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (375), (559), (6377), (6379), (6519) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_8_49 = e0 & ~ (all_8_48 = e4) & ~ (all_8_50
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_51)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6520) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) ~ (all_8_50 = all_8_51)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6021), (6398), (6521) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6522) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) (all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_57 = e0 & ~ (all_8_56 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_59)) | (all_8_61 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_60 = e1) & ~ (all_8_62 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_63))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6523) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_8_53 = e0 & ~ (all_8_52 = e3) & ~ (all_8_54
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6524) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) ~ (all_8_54 = all_8_55)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5999), (6426), (6525) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6526) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) (all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)) | (all_8_61 = e0 & ~ (all_8_60 =
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_62 = all_8_63))
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6527) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_59)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_8_57 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5507), (6529) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) e1 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (6530) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6531) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_8_61 = e0 & ~ (all_8_60 = e1) & ~ (all_8_62
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_63)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6532) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) ~ (all_8_62 = all_8_63)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6030), (6204), (6533) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6534) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (343), (375), (515), (3495), (6432), (6535)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #26.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_6_10 = e3 | all_6_10 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (6022), (6536) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) ~ (all_10_17 = e3)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (6537) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) ~ (all_4_21 = e3)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3474), (6423), (6538) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_6_3 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6539) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_4_15 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6399), (6540) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6541) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) ~ (all_10_16 = e0)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (6542) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) ~ (all_4_20 = e0)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (488), (491), (3474), (3496), (3497),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046), (6067), (6070), (6394), (6543) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #132.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) ~ (all_10_2 = e4)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (6544) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) ~ (all_4_1 = e4)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6385) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) all_6_10 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (6546) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_4_2 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6547) implies:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_4_2 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6548) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) ~ (all_4_1 = e1)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (118), (308), (363), (366), (369), (468),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (515), (3463), (3469), (3493), (5467),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985), (5986), (6201), (6249), (6545), (6549) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_6_10 = e3 | all_6_10 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (534), (6022), (6550) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) ~ (all_6_16 = e1)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_6_16 = e3 | all_6_16 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (6551) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) ~ (all_4_8 = e1)
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (363), (366), (479), (515),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538), (6201), (6232), (6552), (6553) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) all_10_13 = e2 | all_10_21 = e2
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (349), (366), (5986), (6189), (6554) are
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (363), (366), (515), (544), (6002), (6034),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201), (6555) are inconsistent by sub-proof #46.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (469), (490), (3464), (3469), (3493),
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494), (5991), (6556) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e1 |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6557) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_6_23 = e4
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (561), (6558) are inconsistent by sub-proof
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #120.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_6_23 = e3 | all_6_23 = e1 | all_6_23 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6559) gives:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_6_23 = e1
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (3495), (6560) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_6_23 = e3 | all_6_23 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (6004), (6024), (6561) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | (6562) all_6_21 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (6562) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | (6563) all_4_9 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (3469), (6563) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | (6564) $false
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | | CLOSE: (6564) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | (6565) all_6_2 = e3 | all_6_2 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | REF_CLOSE: (471), (540), (541), (6565) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | sub-proof #218.
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | (6566) ~ (all_10_5 = e2)
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | REDUCE: (517), (6566) imply:
% 73.58/11.00 | | | | | | | | | | | | | | | (6567) ~ (all_4_11 = e2)
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | (6568) all_6_7 = e2
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | REF_CLOSE: (474), (6567), (6568) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | sub-proof #57.
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | (6569) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 73.58/11.00 | | | | | | | | | | | | | | | | all_6_7 = e0
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | | REF_CLOSE: (72), (471), (474), (540), (541), (542), (543),
% 73.58/11.00 | | | | | | | | | | | | | | | | (5469), (5474), (6569) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | | | | sub-proof #23.
% 73.58/11.00 | | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | (6570) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.58/11.00 | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | BETA: splitting (6570) gives:
% 73.58/11.00 | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | Case 1:
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | (6571) all_6_22 = e1
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | COMBINE_EQS: (493), (6571) imply:
% 73.58/11.00 | | | | | | | | | | | | | (6572) all_4_14 = e1
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | SIMP: (6572) implies:
% 73.58/11.00 | | | | | | | | | | | | | (6573) all_4_14 = e1
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | REDUCE: (3494), (6573) imply:
% 73.58/11.00 | | | | | | | | | | | | | (6574) $false
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | CLOSE: (6574) is inconsistent.
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | Case 2:
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | (6575) all_6_22 = e3 | all_6_22 = e0
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | | REF_CLOSE: (493), (546), (552), (6575) are inconsistent by
% 73.58/11.00 | | | | | | | | | | | | | sub-proof #216.
% 73.58/11.00 | | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | | |
% 73.58/11.00 | | | | | | | | | End of split
% 73.58/11.00 | | | | | | | | |
% 73.58/11.00 | | | | | | | | End of split
% 73.58/11.00 | | | | | | | |
% 73.58/11.00 | | | | | | | End of split
% 73.58/11.00 | | | | | | |
% 73.58/11.00 | | | | | | End of split
% 73.58/11.00 | | | | | |
% 73.58/11.00 | | | | | End of split
% 73.58/11.00 | | | | |
% 73.58/11.00 | | | | End of split
% 73.58/11.00 | | | |
% 73.58/11.00 | | | Case 2:
% 73.58/11.00 | | | |
% 73.58/11.00 | | | | (6576) all_8_67 = e0 | all_8_68 = e0 | all_8_69 = e0
% 73.58/11.00 | | | |
% 73.58/11.00 | | | | BETA: splitting (6576) gives:
% 73.58/11.00 | | | |
% 73.58/11.00 | | | | Case 1:
% 73.58/11.00 | | | | |
% 73.58/11.01 | | | | | (6577) all_8_67 = e0
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | COMBINE_EQS: (434), (6577) imply:
% 73.58/11.01 | | | | | (6578) e3 = e0
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | SIMP: (6578) implies:
% 73.58/11.01 | | | | | (6579) e3 = e0
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | REDUCE: (544), (6579) imply:
% 73.58/11.01 | | | | | (6580) $false
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | CLOSE: (6580) is inconsistent.
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | Case 2:
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | (6581) all_8_68 = e0 | all_8_69 = e0
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | BETA: splitting (6581) gives:
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | Case 1:
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | (6582) all_8_68 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | COMBINE_EQS: (357), (6582) imply:
% 73.58/11.01 | | | | | | (6583) e4 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | SIMP: (6583) implies:
% 73.58/11.01 | | | | | | (6584) e4 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | REDUCE: (554), (6584) imply:
% 73.58/11.01 | | | | | | (6585) $false
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | CLOSE: (6585) is inconsistent.
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | Case 2:
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | (6586) all_8_69 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | COMBINE_EQS: (466), (6586) imply:
% 73.58/11.01 | | | | | | (6587) all_4_24 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | SIMP: (6587) implies:
% 73.58/11.01 | | | | | | (6588) all_4_24 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | REDUCE: (3453), (6588) imply:
% 73.58/11.01 | | | | | | (6589) $false
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | CLOSE: (6589) is inconsistent.
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | End of split
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | End of split
% 73.58/11.01 | | | |
% 73.58/11.01 | | | End of split
% 73.58/11.01 | | |
% 73.58/11.01 | | End of split
% 73.58/11.01 | |
% 73.58/11.01 | End of split
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #1 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) ~ (e4 = e1)
% 73.58/11.01 (2) all_10_11 = all_4_17
% 73.58/11.01 (3) all_10_11 = e4 | all_10_18 = e4
% 73.58/11.01 (4) ~ (all_4_17 = e4)
% 73.58/11.01 (5) all_10_18 = e4
% 73.58/11.01 (6) e4 = e1
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | SIMP: (6) implies:
% 73.58/11.01 | (7) e4 = e1
% 73.58/11.01 |
% 73.58/11.01 | COMBINE_EQS: (5), (7) imply:
% 73.58/11.01 | (8) all_10_18 = e1
% 73.58/11.01 |
% 73.58/11.01 | REF_CLOSE: (1), (2), (3), (4), (8) are inconsistent by sub-proof #101.
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #2 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) ~ (e4 = e1)
% 73.58/11.01 (2) ~ (e4 = e2)
% 73.58/11.01 (3) all_10_18 = all_4_22
% 73.58/11.01 (4) all_10_19 = e2
% 73.58/11.01 (5) ~ (all_4_22 = e4)
% 73.58/11.01 (6) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 73.58/11.01 (7) all_10_24 = e1
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | BETA: splitting (6) gives:
% 73.58/11.01 |
% 73.58/11.01 | Case 1:
% 73.58/11.01 | |
% 73.58/11.01 | | (8) all_10_18 = e4
% 73.58/11.01 | |
% 73.58/11.01 | | COMBINE_EQS: (3), (8) imply:
% 73.58/11.01 | | (9) all_4_22 = e4
% 73.58/11.01 | |
% 73.58/11.01 | | REDUCE: (5), (9) imply:
% 73.58/11.01 | | (10) $false
% 73.58/11.01 | |
% 73.58/11.01 | | CLOSE: (10) is inconsistent.
% 73.58/11.01 | |
% 73.58/11.01 | Case 2:
% 73.58/11.01 | |
% 73.58/11.01 | | (11) all_10_19 = e4 | all_10_24 = e4
% 73.58/11.01 | |
% 73.58/11.01 | | BETA: splitting (11) gives:
% 73.58/11.01 | |
% 73.58/11.01 | | Case 1:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (12) all_10_19 = e4
% 73.58/11.01 | | |
% 73.58/11.01 | | | COMBINE_EQS: (4), (12) imply:
% 73.58/11.01 | | | (13) e4 = e2
% 73.58/11.01 | | |
% 73.58/11.01 | | | SIMP: (13) implies:
% 73.58/11.01 | | | (14) e4 = e2
% 73.58/11.01 | | |
% 73.58/11.01 | | | REDUCE: (2), (14) imply:
% 73.58/11.01 | | | (15) $false
% 73.58/11.01 | | |
% 73.58/11.01 | | | CLOSE: (15) is inconsistent.
% 73.58/11.01 | | |
% 73.58/11.01 | | Case 2:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (16) all_10_24 = e4
% 73.58/11.01 | | |
% 73.58/11.01 | | | COMBINE_EQS: (7), (16) imply:
% 73.58/11.01 | | | (17) e4 = e1
% 73.58/11.01 | | |
% 73.58/11.01 | | | REDUCE: (1), (17) imply:
% 73.58/11.01 | | | (18) $false
% 73.58/11.01 | | |
% 73.58/11.01 | | | CLOSE: (18) is inconsistent.
% 73.58/11.01 | | |
% 73.58/11.01 | | End of split
% 73.58/11.01 | |
% 73.58/11.01 | End of split
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #3 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) op(e1, e2) = e0
% 73.58/11.01 (2) op(e3, e1) = e3
% 73.58/11.01 (3) op(e1, e0) = e2
% 73.58/11.01 (4) op(e2, e0) = e0
% 73.58/11.01 (5) op(e3, unit) = e3
% 73.58/11.01 (6) op(e1, unit) = e1
% 73.58/11.01 (7) ~ (e1 = e0)
% 73.58/11.01 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.01 (9) ~ (e2 = e0)
% 73.58/11.01 (10) op(unit, e2) = e2
% 73.58/11.01 (11) op(e3, e3) = e0
% 73.58/11.01 (12) op(unit, e1) = e1
% 73.58/11.01 (13) unit = e3 | unit = e1 | unit = e0
% 73.58/11.01 (14) op(e2, unit) = e2
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | BETA: splitting (13) gives:
% 73.58/11.01 |
% 73.58/11.01 | Case 1:
% 73.58/11.01 | |
% 73.58/11.01 | | (15) unit = e1
% 73.58/11.01 | |
% 73.58/11.01 | | REF_CLOSE: (1), (8), (9), (10), (15) are inconsistent by sub-proof #125.
% 73.58/11.01 | |
% 73.58/11.01 | Case 2:
% 73.58/11.01 | |
% 73.58/11.01 | | (16) ~ (unit = e1)
% 73.58/11.01 | | (17) unit = e3 | unit = e0
% 73.58/11.01 | |
% 73.58/11.01 | | BETA: splitting (17) gives:
% 73.58/11.01 | |
% 73.58/11.01 | | Case 1:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (18) unit = e3
% 73.58/11.01 | | |
% 73.58/11.01 | | | REDUCE: (12), (18) imply:
% 73.58/11.01 | | | (19) op(e3, e1) = e1
% 73.58/11.01 | | |
% 73.58/11.01 | | | REDUCE: (5), (18) imply:
% 73.58/11.01 | | | (20) op(e3, e3) = e3
% 73.58/11.01 | | |
% 73.58/11.01 | | | GROUND_INST: instantiating (8) with e3, e1, e1, e3, simplifying with (2),
% 73.58/11.01 | | | (19) gives:
% 73.58/11.01 | | | (21) e3 = e1
% 73.58/11.01 | | |
% 73.58/11.01 | | | GROUND_INST: instantiating (8) with e0, e3, e3, e3, simplifying with (11),
% 73.58/11.01 | | | (20) gives:
% 73.58/11.01 | | | (22) e3 = e0
% 73.58/11.01 | | |
% 73.58/11.01 | | | COMBINE_EQS: (21), (22) imply:
% 73.58/11.01 | | | (23) e1 = e0
% 73.58/11.01 | | |
% 73.58/11.01 | | | REDUCE: (7), (23) imply:
% 73.58/11.01 | | | (24) $false
% 73.58/11.01 | | |
% 73.58/11.01 | | | CLOSE: (24) is inconsistent.
% 73.58/11.01 | | |
% 73.58/11.01 | | Case 2:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (25) unit = e0
% 73.58/11.01 | | |
% 73.58/11.01 | | | REF_CLOSE: (3), (4), (6), (8), (14), (16), (25) are inconsistent by
% 73.58/11.01 | | | sub-proof #20.
% 73.58/11.01 | | |
% 73.58/11.01 | | End of split
% 73.58/11.01 | |
% 73.58/11.01 | End of split
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #4 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) all_10_16 = e3
% 73.58/11.01 (2) all_10_16 = e0
% 73.58/11.01 (3) ~ (e3 = e0)
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.01 | (4) e3 = e0
% 73.58/11.01 |
% 73.58/11.01 | SIMP: (4) implies:
% 73.58/11.01 | (5) e3 = e0
% 73.58/11.01 |
% 73.58/11.01 | REDUCE: (3), (5) imply:
% 73.58/11.01 | (6) $false
% 73.58/11.01 |
% 73.58/11.01 | CLOSE: (6) is inconsistent.
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #5 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) ~ (e2 = e1)
% 73.58/11.01 (2) unit = e3
% 73.58/11.01 (3) op(e2, e3) = e1
% 73.58/11.01 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.01 (5) op(e2, unit) = e2
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | REDUCE: (2), (5) imply:
% 73.58/11.01 | (6) op(e2, e3) = e2
% 73.58/11.01 |
% 73.58/11.01 | GROUND_INST: instantiating (4) with e1, e2, e3, e2, simplifying with (3), (6)
% 73.58/11.01 | gives:
% 73.58/11.01 | (7) e2 = e1
% 73.58/11.01 |
% 73.58/11.01 | REDUCE: (1), (7) imply:
% 73.58/11.01 | (8) $false
% 73.58/11.01 |
% 73.58/11.01 | CLOSE: (8) is inconsistent.
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #6 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) all_6_15 = all_4_3
% 73.58/11.01 (2) ~ (all_4_3 = e1)
% 73.58/11.01 (3) ~ (all_4_23 = e1)
% 73.58/11.01 (4) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.58/11.01 (5) ~ (all_4_3 = e4)
% 73.58/11.01 (6) ~ (all_4_23 = e0)
% 73.58/11.01 (7) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.58/11.01 (8) ~ (all_4_3 = all_4_23)
% 73.58/11.01 (9) all_6_19 = all_4_23
% 73.58/11.01 (10) ~ (all_4_3 = e0)
% 73.58/11.01 (11) ~ (all_4_23 = e4)
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | BETA: splitting (7) gives:
% 73.58/11.01 |
% 73.58/11.01 | Case 1:
% 73.58/11.01 | |
% 73.58/11.01 | | (12) all_6_19 = e4
% 73.58/11.01 | |
% 73.58/11.01 | | REF_CLOSE: (9), (11), (12) are inconsistent by sub-proof #69.
% 73.58/11.01 | |
% 73.58/11.01 | Case 2:
% 73.58/11.01 | |
% 73.58/11.01 | | (13) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 73.58/11.01 | |
% 73.58/11.01 | | BETA: splitting (4) gives:
% 73.58/11.01 | |
% 73.58/11.01 | | Case 1:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (14) all_6_15 = e4
% 73.58/11.01 | | |
% 73.58/11.01 | | | REF_CLOSE: (1), (5), (14) are inconsistent by sub-proof #55.
% 73.58/11.01 | | |
% 73.58/11.01 | | Case 2:
% 73.58/11.01 | | |
% 73.58/11.01 | | | (15) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 73.58/11.01 | | |
% 73.58/11.01 | | | BETA: splitting (13) gives:
% 73.58/11.01 | | |
% 73.58/11.01 | | | Case 1:
% 73.58/11.01 | | | |
% 73.58/11.01 | | | | (16) all_6_19 = e1
% 73.58/11.01 | | | |
% 73.58/11.01 | | | | REF_CLOSE: (3), (9), (16) are inconsistent by sub-proof #7.
% 73.58/11.01 | | | |
% 73.58/11.01 | | | Case 2:
% 73.58/11.01 | | | |
% 73.58/11.01 | | | | (17) all_6_19 = e3 | all_6_19 = e0
% 73.58/11.01 | | | |
% 73.58/11.01 | | | | BETA: splitting (15) gives:
% 73.58/11.01 | | | |
% 73.58/11.01 | | | | Case 1:
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | (18) all_6_15 = e1
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | COMBINE_EQS: (1), (18) imply:
% 73.58/11.01 | | | | | (19) all_4_3 = e1
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | SIMP: (19) implies:
% 73.58/11.01 | | | | | (20) all_4_3 = e1
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | REDUCE: (2), (20) imply:
% 73.58/11.01 | | | | | (21) $false
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | CLOSE: (21) is inconsistent.
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | Case 2:
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | (22) all_6_15 = e3 | all_6_15 = e0
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | BETA: splitting (22) gives:
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | | Case 1:
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | (23) all_6_15 = e3
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | COMBINE_EQS: (1), (23) imply:
% 73.58/11.01 | | | | | | (24) all_4_3 = e3
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | SIMP: (24) implies:
% 73.58/11.01 | | | | | | (25) all_4_3 = e3
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | REDUCE: (8), (25) imply:
% 73.58/11.01 | | | | | | (26) ~ (all_4_23 = e3)
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | SIMP: (26) implies:
% 73.58/11.01 | | | | | | (27) ~ (all_4_23 = e3)
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | REF_CLOSE: (6), (9), (17), (27) are inconsistent by sub-proof #68.
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | Case 2:
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | (28) all_6_15 = e0
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | | REF_CLOSE: (1), (10), (28) are inconsistent by sub-proof #48.
% 73.58/11.01 | | | | | |
% 73.58/11.01 | | | | | End of split
% 73.58/11.01 | | | | |
% 73.58/11.01 | | | | End of split
% 73.58/11.01 | | | |
% 73.58/11.01 | | | End of split
% 73.58/11.01 | | |
% 73.58/11.01 | | End of split
% 73.58/11.01 | |
% 73.58/11.01 | End of split
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #7 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) all_6_19 = all_4_23
% 73.58/11.01 (2) all_6_19 = e1
% 73.58/11.01 (3) ~ (all_4_23 = e1)
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.01 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.01 | (4) all_4_23 = e1
% 73.58/11.01 |
% 73.58/11.01 | SIMP: (4) implies:
% 73.58/11.01 | (5) all_4_23 = e1
% 73.58/11.01 |
% 73.58/11.01 | REDUCE: (3), (5) imply:
% 73.58/11.01 | (6) $false
% 73.58/11.01 |
% 73.58/11.01 | CLOSE: (6) is inconsistent.
% 73.58/11.01 |
% 73.58/11.01 End of proof
% 73.58/11.01
% 73.58/11.01 Sub-proof #8 shows that the following formulas are inconsistent:
% 73.58/11.01 ----------------------------------------------------------------
% 73.58/11.01 (1) op(e4, e0) = e4
% 73.58/11.01 (2) ~ (e1 = e0)
% 73.58/11.01 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.01 (4) op(e3, e0) = e4
% 73.58/11.01 (5) op(e1, e0) = e3
% 73.58/11.01 (6) op(e1, e0) = e1
% 73.58/11.01 (7) op(e3, e0) = e3
% 73.58/11.01 (8) op(e4, e0) = e0
% 73.58/11.01
% 73.58/11.01 Begin of proof
% 73.58/11.01 |
% 73.58/11.02 | GROUND_INST: instantiating (3) with e3, e1, e0, e1, simplifying with (5), (6)
% 73.58/11.02 | gives:
% 73.58/11.02 | (9) e3 = e1
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (3) with e4, e3, e0, e3, simplifying with (4), (7)
% 73.58/11.02 | gives:
% 73.58/11.02 | (10) e4 = e3
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (3) with e0, e4, e0, e4, simplifying with (1), (8)
% 73.58/11.02 | gives:
% 73.58/11.02 | (11) e4 = e0
% 73.58/11.02 |
% 73.58/11.02 | REF_CLOSE: (2), (9), (10), (11) are inconsistent by sub-proof #141.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #9 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 73.58/11.02 (2) ~ (e4 = e1)
% 73.58/11.02 (3) all_6_10 = all_4_2
% 73.58/11.02 (4) all_10_6 = all_4_2
% 73.58/11.02 (5) ~ (all_4_2 = e3)
% 73.58/11.02 (6) ~ (all_4_1 = e4)
% 73.58/11.02 (7) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.58/11.02 (8) all_10_20 = all_4_4
% 73.58/11.02 (9) all_10_12 = e1
% 73.58/11.02 (10) ~ (all_4_2 = e1)
% 73.58/11.02 (11) ~ (all_4_2 = e4)
% 73.58/11.02 (12) ~ (e4 = e0)
% 73.58/11.02 (13) ~ (all_4_4 = e4)
% 73.58/11.02 (14) all_10_2 = all_4_1
% 73.58/11.02 (15) all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 73.58/11.02 all_10_18 = e0
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | BETA: splitting (15) gives:
% 73.58/11.02 |
% 73.58/11.02 | Case 1:
% 73.58/11.02 | |
% 73.58/11.02 | | (16) all_10_6 = e0
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (1), (2), (6), (8), (9), (12), (13), (14), (16) are inconsistent
% 73.58/11.02 | | by sub-proof #88.
% 73.58/11.02 | |
% 73.58/11.02 | Case 2:
% 73.58/11.02 | |
% 73.58/11.02 | | (17) ~ (all_10_6 = e0)
% 73.58/11.02 | |
% 73.58/11.02 | | REDUCE: (4), (17) imply:
% 73.58/11.02 | | (18) ~ (all_4_2 = e0)
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (3), (5), (7), (10), (11), (18) are inconsistent by sub-proof
% 73.58/11.02 | | #239.
% 73.58/11.02 | |
% 73.58/11.02 | End of split
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #10 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) all_10_20 = e3
% 73.58/11.02 (2) all_10_20 = e0
% 73.58/11.02 (3) ~ (e3 = e0)
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.02 | (4) e3 = e0
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (4) implies:
% 73.58/11.02 | (5) e3 = e0
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (3), (5) imply:
% 73.58/11.02 | (6) $false
% 73.58/11.02 |
% 73.58/11.02 | CLOSE: (6) is inconsistent.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #11 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) all_10_2 = all_4_1
% 73.58/11.02 (2) all_10_2 = e3
% 73.58/11.02 (3) ~ (all_4_1 = e3)
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.02 | (4) all_4_1 = e3
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (4) implies:
% 73.58/11.02 | (5) all_4_1 = e3
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (3), (5) imply:
% 73.58/11.02 | (6) $false
% 73.58/11.02 |
% 73.58/11.02 | CLOSE: (6) is inconsistent.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #12 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) op(e0, e4) = e3
% 73.58/11.02 (2) op(e3, e4) = e3
% 73.58/11.02 (3) op(e0, e4) = e0
% 73.58/11.02 (4) op(e3, e4) = e4
% 73.58/11.02 (5) op(e4, e4) = e4
% 73.58/11.02 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.02 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.02 (7) ~ (e2 = e0)
% 73.58/11.02 (8) op(e4, e4) = e2
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (6) with e3, e0, e4, e0, simplifying with (1), (3)
% 73.58/11.02 | gives:
% 73.58/11.02 | (9) e3 = e0
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (6) with e4, e3, e4, e3, simplifying with (2), (4)
% 73.58/11.02 | gives:
% 73.58/11.02 | (10) e4 = e3
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (6) with e2, e4, e4, e4, simplifying with (5), (8)
% 73.58/11.02 | gives:
% 73.58/11.02 | (11) e4 = e2
% 73.58/11.02 |
% 73.58/11.02 | REF_CLOSE: (7), (9), (10), (11) are inconsistent by sub-proof #13.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #13 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) e4 = e3
% 73.58/11.02 (2) e4 = e2
% 73.58/11.02 (3) e3 = e0
% 73.58/11.02 (4) ~ (e2 = e0)
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.02 | (5) e3 = e2
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (5) implies:
% 73.58/11.02 | (6) e3 = e2
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (3), (6) imply:
% 73.58/11.02 | (7) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (7) implies:
% 73.58/11.02 | (8) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (4), (8) imply:
% 73.58/11.02 | (9) $false
% 73.58/11.02 |
% 73.58/11.02 | CLOSE: (9) is inconsistent.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #14 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) ~ (all_4_16 = e0)
% 73.58/11.02 (2) all_10_11 = e2
% 73.58/11.02 (3) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 73.58/11.02 (4) all_10_15 = e4
% 73.58/11.02 (5) all_10_10 = all_4_16
% 73.58/11.02 (6) ~ (e2 = e0)
% 73.58/11.02 (7) all_10_23 = all_4_19
% 73.58/11.02 (8) ~ (all_4_19 = e0)
% 73.58/11.02 (9) ~ (e4 = e0)
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | BETA: splitting (3) gives:
% 73.58/11.02 |
% 73.58/11.02 | Case 1:
% 73.58/11.02 | |
% 73.58/11.02 | | (10) all_10_10 = e0
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #122.
% 73.58/11.02 | |
% 73.58/11.02 | Case 2:
% 73.58/11.02 | |
% 73.58/11.02 | | (11) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 73.58/11.02 | |
% 73.58/11.02 | | BETA: splitting (11) gives:
% 73.58/11.02 | |
% 73.58/11.02 | | Case 1:
% 73.58/11.02 | | |
% 73.58/11.02 | | | (12) all_10_11 = e0
% 73.58/11.02 | | |
% 73.58/11.02 | | | REF_CLOSE: (2), (6), (12) are inconsistent by sub-proof #121.
% 73.58/11.02 | | |
% 73.58/11.02 | | Case 2:
% 73.58/11.02 | | |
% 73.58/11.02 | | | (13) all_10_15 = e0 | all_10_23 = e0
% 73.58/11.02 | | |
% 73.58/11.02 | | | REF_CLOSE: (4), (7), (8), (9), (13) are inconsistent by sub-proof #73.
% 73.58/11.02 | | |
% 73.58/11.02 | | End of split
% 73.58/11.02 | |
% 73.58/11.02 | End of split
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #15 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) ~ (all_4_5 = e1)
% 73.58/11.02 (2) ~ (all_4_5 = e0)
% 73.58/11.02 (3) all_6_21 = all_4_9
% 73.58/11.02 (4) all_6_1 = all_4_5
% 73.58/11.02 (5) ~ (all_4_5 = all_4_9)
% 73.58/11.02 (6) ~ (all_4_9 = e0)
% 73.58/11.02 (7) ~ (all_4_9 = e1)
% 73.58/11.02 (8) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.58/11.02 (9) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | BETA: splitting (8) gives:
% 73.58/11.02 |
% 73.58/11.02 | Case 1:
% 73.58/11.02 | |
% 73.58/11.02 | | (10) all_6_1 = e1
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #237.
% 73.58/11.02 | |
% 73.58/11.02 | Case 2:
% 73.58/11.02 | |
% 73.58/11.02 | | (11) all_6_1 = e3 | all_6_1 = e0
% 73.58/11.02 | |
% 73.58/11.02 | | BETA: splitting (11) gives:
% 73.58/11.02 | |
% 73.58/11.02 | | Case 1:
% 73.58/11.02 | | |
% 73.58/11.02 | | | (12) all_6_1 = e3
% 73.58/11.02 | | |
% 73.58/11.02 | | | COMBINE_EQS: (4), (12) imply:
% 73.58/11.02 | | | (13) all_4_5 = e3
% 73.58/11.02 | | |
% 73.58/11.02 | | | SIMP: (13) implies:
% 73.58/11.02 | | | (14) all_4_5 = e3
% 73.58/11.02 | | |
% 73.58/11.02 | | | REDUCE: (5), (14) imply:
% 73.58/11.02 | | | (15) ~ (all_4_9 = e3)
% 73.58/11.02 | | |
% 73.58/11.02 | | | SIMP: (15) implies:
% 73.58/11.02 | | | (16) ~ (all_4_9 = e3)
% 73.58/11.02 | | |
% 73.58/11.02 | | | BETA: splitting (9) gives:
% 73.58/11.02 | | |
% 73.58/11.02 | | | Case 1:
% 73.58/11.02 | | | |
% 73.58/11.02 | | | | (17) all_6_21 = e1
% 73.58/11.02 | | | |
% 73.58/11.02 | | | | REF_CLOSE: (3), (7), (17) are inconsistent by sub-proof #157.
% 73.58/11.02 | | | |
% 73.58/11.02 | | | Case 2:
% 73.58/11.02 | | | |
% 73.58/11.02 | | | | (18) all_6_21 = e3 | all_6_21 = e0
% 73.58/11.02 | | | |
% 73.58/11.02 | | | | REF_CLOSE: (3), (6), (16), (18) are inconsistent by sub-proof #155.
% 73.58/11.02 | | | |
% 73.58/11.02 | | | End of split
% 73.58/11.02 | | |
% 73.58/11.02 | | Case 2:
% 73.58/11.02 | | |
% 73.58/11.02 | | | (19) all_6_1 = e0
% 73.58/11.02 | | |
% 73.58/11.02 | | | REF_CLOSE: (2), (4), (19) are inconsistent by sub-proof #235.
% 73.58/11.02 | | |
% 73.58/11.02 | | End of split
% 73.58/11.02 | |
% 73.58/11.02 | End of split
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #16 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) op(e4, e0) = e4
% 73.58/11.02 (2) op(e2, e0) = e4
% 73.58/11.02 (3) op(e2, e0) = e2
% 73.58/11.02 (4) ~ (e1 = e0)
% 73.58/11.02 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.02 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.02 (6) op(e1, e0) = e3
% 73.58/11.02 (7) op(e3, e0) = e2
% 73.58/11.02 (8) op(e1, e0) = e1
% 73.58/11.02 (9) op(e3, e0) = e3
% 73.58/11.02 (10) op(e4, e0) = e0
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (5) with e3, e1, e0, e1, simplifying with (6), (8)
% 73.58/11.02 | gives:
% 73.58/11.02 | (11) e3 = e1
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (5) with e4, e2, e0, e2, simplifying with (2), (3)
% 73.58/11.02 | gives:
% 73.58/11.02 | (12) e4 = e2
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (5) with e2, e3, e0, e3, simplifying with (7), (9)
% 73.58/11.02 | gives:
% 73.58/11.02 | (13) e3 = e2
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (5) with e0, e4, e0, e4, simplifying with (1), (10)
% 73.58/11.02 | gives:
% 73.58/11.02 | (14) e4 = e0
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (12), (14) imply:
% 73.58/11.02 | (15) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (15) implies:
% 73.58/11.02 | (16) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (11), (13) imply:
% 73.58/11.02 | (17) e2 = e1
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (17) implies:
% 73.58/11.02 | (18) e2 = e1
% 73.58/11.02 |
% 73.58/11.02 | REF_CLOSE: (4), (16), (18) are inconsistent by sub-proof #248.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #17 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) e2 = e1
% 73.58/11.02 (2) e4 = e2
% 73.58/11.02 (3) ~ (e1 = e0)
% 73.58/11.02 (4) e3 = e0
% 73.58/11.02 (5) e4 = e3
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (2), (5) imply:
% 73.58/11.02 | (6) e3 = e2
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (4), (6) imply:
% 73.58/11.02 | (7) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (7) implies:
% 73.58/11.02 | (8) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #248.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #18 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) all_10_3 = e3
% 73.58/11.02 (2) all_10_3 = e0
% 73.58/11.02 (3) ~ (e3 = e0)
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.02 | (4) e3 = e0
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (4) implies:
% 73.58/11.02 | (5) e3 = e0
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (3), (5) imply:
% 73.58/11.02 | (6) $false
% 73.58/11.02 |
% 73.58/11.02 | CLOSE: (6) is inconsistent.
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #19 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) ~ (all_4_9 = e2)
% 73.58/11.02 (2) all_10_13 = e2 | all_10_21 = e2
% 73.58/11.02 (3) all_10_13 = all_4_8
% 73.58/11.02 (4) ~ (all_4_8 = e2)
% 73.58/11.02 (5) all_10_21 = all_4_9
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | BETA: splitting (2) gives:
% 73.58/11.02 |
% 73.58/11.02 | Case 1:
% 73.58/11.02 | |
% 73.58/11.02 | | (6) all_10_13 = e2
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #150.
% 73.58/11.02 | |
% 73.58/11.02 | Case 2:
% 73.58/11.02 | |
% 73.58/11.02 | | (7) all_10_21 = e2
% 73.58/11.02 | |
% 73.58/11.02 | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #264.
% 73.58/11.02 | |
% 73.58/11.02 | End of split
% 73.58/11.02 |
% 73.58/11.02 End of proof
% 73.58/11.02
% 73.58/11.02 Sub-proof #20 shows that the following formulas are inconsistent:
% 73.58/11.02 ----------------------------------------------------------------
% 73.58/11.02 (1) ~ (unit = e1)
% 73.58/11.02 (2) op(e1, e0) = e2
% 73.58/11.02 (3) unit = e0
% 73.58/11.02 (4) op(e2, e0) = e0
% 73.58/11.02 (5) op(e1, unit) = e1
% 73.58/11.02 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.02 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.02 (7) op(e2, unit) = e2
% 73.58/11.02
% 73.58/11.02 Begin of proof
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (1), (3) imply:
% 73.58/11.02 | (8) ~ (e1 = e0)
% 73.58/11.02 |
% 73.58/11.02 | SIMP: (8) implies:
% 73.58/11.02 | (9) ~ (e1 = e0)
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (3), (7) imply:
% 73.58/11.02 | (10) op(e2, e0) = e2
% 73.58/11.02 |
% 73.58/11.02 | REDUCE: (3), (5) imply:
% 73.58/11.02 | (11) op(e1, e0) = e1
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (6) with e2, e1, e0, e1, simplifying with (2), (11)
% 73.58/11.02 | gives:
% 73.58/11.02 | (12) e2 = e1
% 73.58/11.02 |
% 73.58/11.02 | GROUND_INST: instantiating (6) with e0, e2, e0, e2, simplifying with (4), (10)
% 73.58/11.02 | gives:
% 73.58/11.02 | (13) e2 = e0
% 73.58/11.02 |
% 73.58/11.02 | REF_CLOSE: (9), (12), (13) are inconsistent by sub-proof #248.
% 73.58/11.02 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #21 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (all_4_11 = e0)
% 73.58/11.03 (2) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (3) ~ (all_4_10 = all_4_11)
% 73.58/11.03 (4) ~ (all_4_11 = e1)
% 73.58/11.03 (5) ~ (all_4_10 = e1)
% 73.58/11.03 (6) ~ (all_4_11 = e3)
% 73.58/11.03 (7) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.58/11.03 (8) all_6_7 = all_4_11
% 73.58/11.03 (9) all_6_2 = all_4_10
% 73.58/11.03 (10) ~ (all_4_10 = e3)
% 73.58/11.03 (11) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (7) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (12) all_6_7 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | COMBINE_EQS: (8), (12) imply:
% 73.58/11.03 | | (13) all_4_11 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | REDUCE: (3), (13) imply:
% 73.58/11.03 | | (14) ~ (all_4_10 = e4)
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (2), (5), (9), (10), (11), (14) are inconsistent by sub-proof
% 73.58/11.03 | | #33.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (15) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (4), (6), (8), (15) are inconsistent by sub-proof #63.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #22 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (all_10_4 = e4)
% 73.58/11.03 (2) ~ (all_4_11 = e4)
% 73.58/11.03 (3) ~ (all_4_11 = e0)
% 73.58/11.03 (4) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (5) all_10_4 = all_4_10
% 73.58/11.03 (6) ~ (all_4_10 = all_4_11)
% 73.58/11.03 (7) ~ (all_4_11 = e3)
% 73.58/11.03 (8) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.58/11.03 (9) all_6_7 = all_4_11
% 73.58/11.03 (10) all_6_2 = all_4_10
% 73.58/11.03 (11) ~ (all_4_10 = e3)
% 73.58/11.03 (12) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (1), (5) imply:
% 73.58/11.03 | (13) ~ (all_4_10 = e4)
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (4) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (14) all_6_2 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (10), (13), (14) are inconsistent by sub-proof #255.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (15) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (12), (15) are
% 73.58/11.03 | | inconsistent by sub-proof #23.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #23 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (all_4_11 = e4)
% 73.58/11.03 (2) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (3) ~ (all_4_11 = e0)
% 73.58/11.03 (4) ~ (all_4_10 = all_4_11)
% 73.58/11.03 (5) ~ (all_4_11 = e3)
% 73.58/11.03 (6) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.58/11.03 (7) all_6_7 = all_4_11
% 73.58/11.03 (8) all_6_2 = all_4_10
% 73.58/11.03 (9) ~ (all_4_10 = e3)
% 73.58/11.03 (10) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (6) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (11) all_6_7 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (7), (11) are inconsistent by sub-proof #41.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (12) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.58/11.03 | |
% 73.58/11.03 | | BETA: splitting (2) gives:
% 73.58/11.03 | |
% 73.58/11.03 | | Case 1:
% 73.58/11.03 | | |
% 73.58/11.03 | | | (13) all_6_2 = e1
% 73.58/11.03 | | |
% 73.58/11.03 | | | COMBINE_EQS: (8), (13) imply:
% 73.58/11.03 | | | (14) all_4_10 = e1
% 73.58/11.03 | | |
% 73.58/11.03 | | | SIMP: (14) implies:
% 73.58/11.03 | | | (15) all_4_10 = e1
% 73.58/11.03 | | |
% 73.58/11.03 | | | REDUCE: (4), (15) imply:
% 73.58/11.03 | | | (16) ~ (all_4_11 = e1)
% 73.58/11.03 | | |
% 73.58/11.03 | | | SIMP: (16) implies:
% 73.58/11.03 | | | (17) ~ (all_4_11 = e1)
% 73.58/11.03 | | |
% 73.58/11.03 | | | REF_CLOSE: (3), (5), (7), (12), (17) are inconsistent by sub-proof #63.
% 73.58/11.03 | | |
% 73.58/11.03 | | Case 2:
% 73.58/11.03 | | |
% 73.58/11.03 | | | (18) all_6_2 = e3 | all_6_2 = e0
% 73.58/11.03 | | |
% 73.58/11.03 | | | REF_CLOSE: (8), (9), (10), (18) are inconsistent by sub-proof #218.
% 73.58/11.03 | | |
% 73.58/11.03 | | End of split
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #24 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (e2 = e1)
% 73.58/11.03 (2) all_10_17 = all_4_21
% 73.58/11.03 (3) all_10_10 = e1 | all_10_17 = e1
% 73.58/11.03 (4) all_10_10 = e2
% 73.58/11.03 (5) ~ (all_4_21 = e1)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (3) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (6) all_10_10 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #54.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (7) all_10_17 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | COMBINE_EQS: (2), (7) imply:
% 73.58/11.03 | | (8) all_4_21 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REDUCE: (5), (8) imply:
% 73.58/11.03 | | (9) $false
% 73.58/11.03 | |
% 73.58/11.03 | | CLOSE: (9) is inconsistent.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #25 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (e4 = e1)
% 73.58/11.03 (2) ~ (e2 = e1)
% 73.58/11.03 (3) all_10_11 = all_4_17
% 73.58/11.03 (4) all_10_15 = e4
% 73.58/11.03 (5) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/11.03 (6) all_10_10 = e2
% 73.58/11.03 (7) ~ (all_4_19 = e1)
% 73.58/11.03 (8) all_10_23 = all_4_19
% 73.58/11.03 (9) ~ (all_4_17 = e1)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (5) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (10) all_10_10 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #54.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (11) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (3), (4), (7), (8), (9), (11) are inconsistent by sub-proof
% 73.58/11.03 | | #26.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #26 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (e4 = e1)
% 73.58/11.03 (2) all_10_11 = all_4_17
% 73.58/11.03 (3) all_10_15 = e4
% 73.58/11.03 (4) ~ (all_4_19 = e1)
% 73.58/11.03 (5) all_10_23 = all_4_19
% 73.58/11.03 (6) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 73.58/11.03 (7) ~ (all_4_17 = e1)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (6) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (8) all_10_11 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | COMBINE_EQS: (2), (8) imply:
% 73.58/11.03 | | (9) all_4_17 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | SIMP: (9) implies:
% 73.58/11.03 | | (10) all_4_17 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REDUCE: (7), (10) imply:
% 73.58/11.03 | | (11) $false
% 73.58/11.03 | |
% 73.58/11.03 | | CLOSE: (11) is inconsistent.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (12) all_10_15 = e1 | all_10_23 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (3), (4), (5), (12) are inconsistent by sub-proof #49.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #27 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (unit = e1)
% 73.58/11.03 (2) op(e2, e0) = e4
% 73.58/11.03 (3) op(e1, e0) = e2
% 73.58/11.03 (4) unit = e0
% 73.58/11.03 (5) op(e1, unit) = e1
% 73.58/11.03 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.03 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.03 (7) op(e4, unit) = e4
% 73.58/11.03 (8) op(e2, unit) = e2
% 73.58/11.03 (9) op(e4, e0) = e0
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (1), (4) imply:
% 73.58/11.03 | (10) ~ (e1 = e0)
% 73.58/11.03 |
% 73.58/11.03 | SIMP: (10) implies:
% 73.58/11.03 | (11) ~ (e1 = e0)
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (4), (7) imply:
% 73.58/11.03 | (12) op(e4, e0) = e4
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (4), (8) imply:
% 73.58/11.03 | (13) op(e2, e0) = e2
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (4), (5) imply:
% 73.58/11.03 | (14) op(e1, e0) = e1
% 73.58/11.03 |
% 73.58/11.03 | REF_CLOSE: (2), (3), (6), (9), (11), (12), (13), (14) are inconsistent by
% 73.58/11.03 | sub-proof #51.
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #28 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) op(e3, e4) = e3
% 73.58/11.03 (2) ~ (e2 = e1)
% 73.58/11.03 (3) op(e3, e4) = e4
% 73.58/11.03 (4) op(e1, e4) = e1
% 73.58/11.03 (5) op(e4, e4) = e4
% 73.58/11.03 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.58/11.03 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.58/11.03 (7) op(e4, e4) = e2
% 73.58/11.03 (8) op(e1, e4) = e3
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | GROUND_INST: instantiating (6) with e3, e1, e4, e1, simplifying with (4), (8)
% 73.58/11.03 | gives:
% 73.58/11.03 | (9) e3 = e1
% 73.58/11.03 |
% 73.58/11.03 | GROUND_INST: instantiating (6) with e4, e3, e4, e3, simplifying with (1), (3)
% 73.58/11.03 | gives:
% 73.58/11.03 | (10) e4 = e3
% 73.58/11.03 |
% 73.58/11.03 | GROUND_INST: instantiating (6) with e2, e4, e4, e4, simplifying with (5), (7)
% 73.58/11.03 | gives:
% 73.58/11.03 | (11) e4 = e2
% 73.58/11.03 |
% 73.58/11.03 | COMBINE_EQS: (10), (11) imply:
% 73.58/11.03 | (12) e3 = e2
% 73.58/11.03 |
% 73.58/11.03 | SIMP: (12) implies:
% 73.58/11.03 | (13) e3 = e2
% 73.58/11.03 |
% 73.58/11.03 | REF_CLOSE: (2), (9), (13) are inconsistent by sub-proof #29.
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #29 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) e3 = e2
% 73.58/11.03 (2) e3 = e1
% 73.58/11.03 (3) ~ (e2 = e1)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.03 | (4) e2 = e1
% 73.58/11.03 |
% 73.58/11.03 | SIMP: (4) implies:
% 73.58/11.03 | (5) e2 = e1
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (3), (5) imply:
% 73.58/11.03 | (6) $false
% 73.58/11.03 |
% 73.58/11.03 | CLOSE: (6) is inconsistent.
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #30 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) all_10_3 = e1
% 73.58/11.03 (2) all_10_3 = e0
% 73.58/11.03 (3) ~ (e1 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.03 | (4) e1 = e0
% 73.58/11.03 |
% 73.58/11.03 | SIMP: (4) implies:
% 73.58/11.03 | (5) e1 = e0
% 73.58/11.03 |
% 73.58/11.03 | REDUCE: (3), (5) imply:
% 73.58/11.03 | (6) $false
% 73.58/11.03 |
% 73.58/11.03 | CLOSE: (6) is inconsistent.
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #31 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (all_4_5 = e0)
% 73.58/11.03 (2) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (3) ~ (all_4_5 = all_4_10)
% 73.58/11.03 (4) ~ (all_4_5 = e4)
% 73.58/11.03 (5) all_6_1 = all_4_5
% 73.58/11.03 (6) ~ (all_4_5 = e3)
% 73.58/11.03 (7) all_6_2 = all_4_10
% 73.58/11.03 (8) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.58/11.03 (9) ~ (all_4_10 = e3)
% 73.58/11.03 (10) ~ (all_4_10 = e4)
% 73.58/11.03 (11) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (8) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (12) all_6_1 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #251.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (13) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (10), (11), (13) are
% 73.58/11.03 | | inconsistent by sub-proof #32.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #32 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) ~ (all_4_5 = e0)
% 73.58/11.03 (2) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (3) ~ (all_4_5 = all_4_10)
% 73.58/11.03 (4) all_6_1 = all_4_5
% 73.58/11.03 (5) ~ (all_4_5 = e3)
% 73.58/11.03 (6) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.58/11.03 (7) all_6_2 = all_4_10
% 73.58/11.03 (8) ~ (all_4_10 = e3)
% 73.58/11.03 (9) ~ (all_4_10 = e4)
% 73.58/11.03 (10) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (6) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (11) all_6_1 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | COMBINE_EQS: (4), (11) imply:
% 73.58/11.03 | | (12) all_4_5 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | SIMP: (12) implies:
% 73.58/11.03 | | (13) all_4_5 = e1
% 73.58/11.03 | |
% 73.58/11.03 | | REDUCE: (3), (13) imply:
% 73.58/11.03 | | (14) ~ (all_4_10 = e1)
% 73.58/11.03 | |
% 73.58/11.03 | | SIMP: (14) implies:
% 73.58/11.03 | | (15) ~ (all_4_10 = e1)
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (2), (7), (8), (9), (10), (15) are inconsistent by sub-proof #33.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (16) all_6_1 = e3 | all_6_1 = e0
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (1), (4), (5), (16) are inconsistent by sub-proof #36.
% 73.58/11.03 | |
% 73.58/11.03 | End of split
% 73.58/11.03 |
% 73.58/11.03 End of proof
% 73.58/11.03
% 73.58/11.03 Sub-proof #33 shows that the following formulas are inconsistent:
% 73.58/11.03 ----------------------------------------------------------------
% 73.58/11.03 (1) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 (2) ~ (all_4_10 = e1)
% 73.58/11.03 (3) all_6_2 = all_4_10
% 73.58/11.03 (4) ~ (all_4_10 = e3)
% 73.58/11.03 (5) ~ (all_4_10 = e4)
% 73.58/11.03 (6) ~ (all_4_10 = e0)
% 73.58/11.03
% 73.58/11.03 Begin of proof
% 73.58/11.03 |
% 73.58/11.03 | BETA: splitting (1) gives:
% 73.58/11.03 |
% 73.58/11.03 | Case 1:
% 73.58/11.03 | |
% 73.58/11.03 | | (7) all_6_2 = e4
% 73.58/11.03 | |
% 73.58/11.03 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #255.
% 73.58/11.03 | |
% 73.58/11.03 | Case 2:
% 73.58/11.03 | |
% 73.58/11.03 | | (8) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.58/11.03 | |
% 73.58/11.04 | | REF_CLOSE: (2), (3), (4), (6), (8) are inconsistent by sub-proof #217.
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #34 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) ~ (e4 = e1)
% 73.58/11.04 (2) all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 73.58/11.04 all_10_17 = e4
% 73.58/11.04 (3) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/11.04 (4) ~ (e2 = e1)
% 73.58/11.04 (5) ~ (all_4_2 = e0)
% 73.58/11.04 (6) all_6_10 = all_4_2
% 73.58/11.04 (7) ~ (all_4_1 = all_4_2)
% 73.58/11.04 (8) ~ (all_4_8 = e1)
% 73.58/11.04 (9) ~ (all_4_1 = all_4_3)
% 73.58/11.04 (10) all_10_19 = e2
% 73.58/11.04 (11) ~ (all_4_2 = e3)
% 73.58/11.04 (12) ~ (all_4_8 = e0)
% 73.58/11.04 (13) all_10_15 = e4
% 73.58/11.04 (14) all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 |
% 73.58/11.04 all_10_19 = e1
% 73.58/11.04 (15) ~ (e1 = e0)
% 73.58/11.04 (16) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.58/11.04 (17) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 73.58/11.04 (18) all_6_5 = all_4_1
% 73.58/11.04 (19) all_10_13 = all_4_8
% 73.58/11.04 (20) ~ (all_4_8 = e4)
% 73.58/11.04 (21) all_10_12 = all_4_3
% 73.58/11.04 (22) ~ (all_4_1 = e3)
% 73.58/11.04 (23) ~ (all_4_2 = e1)
% 73.58/11.04 (24) ~ (all_4_1 = e0)
% 73.58/11.04 (25) all_6_16 = all_4_8
% 73.58/11.04 (26) all_10_2 = all_4_1
% 73.58/11.04 (27) all_10_14 = e0
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (2) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (28) all_10_2 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | COMBINE_EQS: (26), (28) imply:
% 73.58/11.04 | | (29) all_4_1 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | SIMP: (29) implies:
% 73.58/11.04 | | (30) all_4_1 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | REDUCE: (7), (30) imply:
% 73.58/11.04 | | (31) ~ (all_4_2 = e4)
% 73.58/11.04 | |
% 73.58/11.04 | | SIMP: (31) implies:
% 73.58/11.04 | | (32) ~ (all_4_2 = e4)
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (5), (6), (11), (16), (23), (32) are inconsistent by sub-proof
% 73.58/11.04 | | #239.
% 73.58/11.04 | |
% 73.58/11.04 | Case 2:
% 73.58/11.04 | |
% 73.58/11.04 | | (33) ~ (all_10_2 = e4)
% 73.58/11.04 | |
% 73.58/11.04 | | REDUCE: (26), (33) imply:
% 73.58/11.04 | | (34) ~ (all_4_1 = e4)
% 73.58/11.04 | |
% 73.58/11.04 | | BETA: splitting (14) gives:
% 73.58/11.04 | |
% 73.58/11.04 | | Case 1:
% 73.58/11.04 | | |
% 73.58/11.04 | | | (35) all_10_12 = e1
% 73.58/11.04 | | |
% 73.58/11.04 | | | REF_CLOSE: (3), (9), (18), (21), (22), (24), (34), (35) are inconsistent
% 73.58/11.04 | | | by sub-proof #35.
% 73.58/11.04 | | |
% 73.58/11.04 | | Case 2:
% 73.58/11.04 | | |
% 73.58/11.04 | | | (36) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.58/11.04 | | |
% 73.58/11.04 | | | REF_CLOSE: (1), (4), (8), (10), (12), (13), (15), (17), (19), (20), (25),
% 73.58/11.04 | | | (27), (36) are inconsistent by sub-proof #37.
% 73.58/11.04 | | |
% 73.58/11.04 | | End of split
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #35 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/11.04 (2) ~ (all_4_1 = all_4_3)
% 73.58/11.04 (3) ~ (all_4_1 = e4)
% 73.58/11.04 (4) all_6_5 = all_4_1
% 73.58/11.04 (5) all_10_12 = all_4_3
% 73.58/11.04 (6) all_10_12 = e1
% 73.58/11.04 (7) ~ (all_4_1 = e3)
% 73.58/11.04 (8) ~ (all_4_1 = e0)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (5), (6) imply:
% 73.58/11.04 | (9) all_4_3 = e1
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (9) implies:
% 73.58/11.04 | (10) all_4_3 = e1
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (2), (10) imply:
% 73.58/11.04 | (11) ~ (all_4_1 = e1)
% 73.58/11.04 |
% 73.58/11.04 | REF_CLOSE: (1), (3), (4), (7), (8), (11) are inconsistent by sub-proof #38.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #36 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_1 = e3 | all_6_1 = e0
% 73.58/11.04 (2) all_6_1 = all_4_5
% 73.58/11.04 (3) ~ (all_4_5 = e3)
% 73.58/11.04 (4) ~ (all_4_5 = e0)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (1) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (5) all_6_1 = e3
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #236.
% 73.58/11.04 | |
% 73.58/11.04 | Case 2:
% 73.58/11.04 | |
% 73.58/11.04 | | (6) all_6_1 = e0
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #235.
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #37 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) ~ (e4 = e1)
% 73.58/11.04 (2) ~ (e2 = e1)
% 73.58/11.04 (3) ~ (all_4_8 = e1)
% 73.58/11.04 (4) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.58/11.04 (5) all_10_19 = e2
% 73.58/11.04 (6) ~ (all_4_8 = e0)
% 73.58/11.04 (7) all_10_15 = e4
% 73.58/11.04 (8) ~ (e1 = e0)
% 73.58/11.04 (9) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 73.58/11.04 (10) all_10_13 = all_4_8
% 73.58/11.04 (11) ~ (all_4_8 = e4)
% 73.58/11.04 (12) all_6_16 = all_4_8
% 73.58/11.04 (13) all_10_14 = e0
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (9) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (14) all_6_16 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | COMBINE_EQS: (12), (14) imply:
% 73.58/11.04 | | (15) all_4_8 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | SIMP: (15) implies:
% 73.58/11.04 | | (16) all_4_8 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | REDUCE: (11), (16) imply:
% 73.58/11.04 | | (17) $false
% 73.58/11.04 | |
% 73.58/11.04 | | CLOSE: (17) is inconsistent.
% 73.58/11.04 | |
% 73.58/11.04 | Case 2:
% 73.58/11.04 | |
% 73.58/11.04 | | (18) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (12), (13), (18)
% 73.58/11.04 | | are inconsistent by sub-proof #93.
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #38 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/11.04 (2) ~ (all_4_1 = e4)
% 73.58/11.04 (3) all_6_5 = all_4_1
% 73.58/11.04 (4) ~ (all_4_1 = e1)
% 73.58/11.04 (5) ~ (all_4_1 = e3)
% 73.58/11.04 (6) ~ (all_4_1 = e0)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (1) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (7) all_6_5 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #182.
% 73.58/11.04 | |
% 73.58/11.04 | Case 2:
% 73.58/11.04 | |
% 73.58/11.04 | | (8) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (3), (4), (5), (6), (8) are inconsistent by sub-proof #47.
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #39 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_8_47 = e1 & ~ (all_8_46 = e0) & ~ (all_8_62 = all_8_63)
% 73.58/11.04 (2) all_8_47 = e4
% 73.58/11.04 (3) ~ (e4 = e1)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | ALPHA: (1) implies:
% 73.58/11.04 | (4) all_8_47 = e1
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (2), (4) imply:
% 73.58/11.04 | (5) e4 = e1
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (5) implies:
% 73.58/11.04 | (6) e4 = e1
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (3), (6) imply:
% 73.58/11.04 | (7) $false
% 73.58/11.04 |
% 73.58/11.04 | CLOSE: (7) is inconsistent.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #40 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_10_12 = all_4_3
% 73.58/11.04 (2) all_10_12 = e3
% 73.58/11.04 (3) ~ (all_4_3 = e3)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.04 | (4) all_4_3 = e3
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (4) implies:
% 73.58/11.04 | (5) all_4_3 = e3
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (3), (5) imply:
% 73.58/11.04 | (6) $false
% 73.58/11.04 |
% 73.58/11.04 | CLOSE: (6) is inconsistent.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #41 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_7 = all_4_11
% 73.58/11.04 (2) all_6_7 = e4
% 73.58/11.04 (3) ~ (all_4_11 = e4)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.04 | (4) all_4_11 = e4
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (4) implies:
% 73.58/11.04 | (5) all_4_11 = e4
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (3), (5) imply:
% 73.58/11.04 | (6) $false
% 73.58/11.04 |
% 73.58/11.04 | CLOSE: (6) is inconsistent.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #42 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_10_9 = e3
% 73.58/11.04 (2) all_10_9 = e1
% 73.58/11.04 (3) ~ (e3 = e1)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.04 | (4) e3 = e1
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (4) implies:
% 73.58/11.04 | (5) e3 = e1
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (3), (5) imply:
% 73.58/11.04 | (6) $false
% 73.58/11.04 |
% 73.58/11.04 | CLOSE: (6) is inconsistent.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #43 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_23 = all_4_19
% 73.58/11.04 (2) all_6_23 = e1
% 73.58/11.04 (3) ~ (all_4_19 = e1)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | COMBINE_EQS: (1), (2) imply:
% 73.58/11.04 | (4) all_4_19 = e1
% 73.58/11.04 |
% 73.58/11.04 | SIMP: (4) implies:
% 73.58/11.04 | (5) all_4_19 = e1
% 73.58/11.04 |
% 73.58/11.04 | REDUCE: (3), (5) imply:
% 73.58/11.04 | (6) $false
% 73.58/11.04 |
% 73.58/11.04 | CLOSE: (6) is inconsistent.
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #44 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) ~ (e4 = e1)
% 73.58/11.04 (2) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.58/11.04 (3) all_10_22 = e2
% 73.58/11.04 (4) ~ (e4 = e2)
% 73.58/11.04 (5) all_10_23 = all_4_19
% 73.58/11.04 (6) all_10_24 = e1
% 73.58/11.04 (7) ~ (all_4_19 = e4)
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (2) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (8) all_10_22 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #72.
% 73.58/11.04 | |
% 73.58/11.04 | Case 2:
% 73.58/11.04 | |
% 73.58/11.04 | | (9) all_10_23 = e4 | all_10_24 = e4
% 73.58/11.04 | |
% 73.58/11.04 | | BETA: splitting (9) gives:
% 73.58/11.04 | |
% 73.58/11.04 | | Case 1:
% 73.58/11.04 | | |
% 73.58/11.04 | | | (10) all_10_23 = e4
% 73.58/11.04 | | |
% 73.58/11.04 | | | REF_CLOSE: (5), (7), (10) are inconsistent by sub-proof #71.
% 73.58/11.04 | | |
% 73.58/11.04 | | Case 2:
% 73.58/11.04 | | |
% 73.58/11.04 | | | (11) all_10_24 = e4
% 73.58/11.04 | | |
% 73.58/11.04 | | | COMBINE_EQS: (6), (11) imply:
% 73.58/11.04 | | | (12) e4 = e1
% 73.58/11.04 | | |
% 73.58/11.04 | | | REDUCE: (1), (12) imply:
% 73.58/11.04 | | | (13) $false
% 73.58/11.04 | | |
% 73.58/11.04 | | | CLOSE: (13) is inconsistent.
% 73.58/11.04 | | |
% 73.58/11.04 | | End of split
% 73.58/11.04 | |
% 73.58/11.04 | End of split
% 73.58/11.04 |
% 73.58/11.04 End of proof
% 73.58/11.04
% 73.58/11.04 Sub-proof #45 shows that the following formulas are inconsistent:
% 73.58/11.04 ----------------------------------------------------------------
% 73.58/11.04 (1) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.58/11.04 (2) ~ (all_4_1 = all_4_3)
% 73.58/11.04 (3) all_10_19 = e2
% 73.58/11.04 (4) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.58/11.04 (5) ~ (all_4_9 = e2)
% 73.58/11.04 (6) all_10_15 = e4
% 73.58/11.04 (7) all_6_21 = all_4_9
% 73.58/11.04 (8) ~ (all_4_1 = e4)
% 73.58/11.04 (9) ~ (all_4_8 = all_4_9)
% 73.58/11.04 (10) all_6_5 = all_4_1
% 73.58/11.04 (11) ~ (all_4_9 = e4)
% 73.58/11.04 (12) ~ (all_4_1 = e1)
% 73.58/11.04 (13) all_10_13 = all_4_8
% 73.58/11.04 (14) ~ (all_4_9 = e0)
% 73.58/11.04 (15) all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 73.58/11.04 all_10_19 = e3
% 73.58/11.04 (16) all_10_12 = all_4_3
% 73.58/11.04 (17) ~ (all_4_9 = e1)
% 73.58/11.04 (18) ~ (all_4_1 = e0)
% 73.58/11.04 (19) all_10_14 = e0
% 73.58/11.04
% 73.58/11.04 Begin of proof
% 73.58/11.04 |
% 73.58/11.04 | BETA: splitting (1) gives:
% 73.58/11.04 |
% 73.58/11.04 | Case 1:
% 73.58/11.04 | |
% 73.58/11.04 | | (20) all_6_5 = e4
% 73.58/11.04 | |
% 73.99/11.04 | | REF_CLOSE: (8), (10), (20) are inconsistent by sub-proof #182.
% 73.99/11.04 | |
% 73.99/11.04 | Case 2:
% 73.99/11.04 | |
% 73.99/11.04 | | (21) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.99/11.04 | |
% 73.99/11.04 | | BETA: splitting (4) gives:
% 73.99/11.04 | |
% 73.99/11.04 | | Case 1:
% 73.99/11.04 | | |
% 73.99/11.04 | | | (22) all_6_21 = e4
% 73.99/11.04 | | |
% 73.99/11.04 | | | REF_CLOSE: (7), (11), (22) are inconsistent by sub-proof #78.
% 73.99/11.04 | | |
% 73.99/11.04 | | Case 2:
% 73.99/11.04 | | |
% 73.99/11.04 | | | (23) ~ (all_6_21 = e4)
% 73.99/11.04 | | | (24) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.99/11.04 | | |
% 73.99/11.04 | | | BETA: splitting (24) gives:
% 73.99/11.04 | | |
% 73.99/11.04 | | | Case 1:
% 73.99/11.04 | | | |
% 73.99/11.04 | | | | (25) all_6_21 = e1
% 73.99/11.04 | | | |
% 73.99/11.04 | | | | REF_CLOSE: (7), (17), (25) are inconsistent by sub-proof #157.
% 73.99/11.04 | | | |
% 73.99/11.04 | | | Case 2:
% 73.99/11.04 | | | |
% 73.99/11.04 | | | | (26) all_6_21 = e3 | all_6_21 = e0
% 73.99/11.04 | | | |
% 73.99/11.04 | | | | BETA: splitting (26) gives:
% 73.99/11.04 | | | |
% 73.99/11.04 | | | | Case 1:
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | (27) all_6_21 = e3
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | COMBINE_EQS: (7), (27) imply:
% 73.99/11.04 | | | | | (28) all_4_9 = e3
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | REDUCE: (9), (28) imply:
% 73.99/11.04 | | | | | (29) ~ (all_4_8 = e3)
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | REDUCE: (11), (28) imply:
% 73.99/11.04 | | | | | (30) ~ (e4 = e3)
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | SIMP: (30) implies:
% 73.99/11.04 | | | | | (31) ~ (e4 = e3)
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | REDUCE: (5), (28) imply:
% 73.99/11.04 | | | | | (32) ~ (e3 = e2)
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | REDUCE: (14), (28) imply:
% 73.99/11.04 | | | | | (33) ~ (e3 = e0)
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | BETA: splitting (15) gives:
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | Case 1:
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | (34) all_10_12 = e3
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | COMBINE_EQS: (16), (34) imply:
% 73.99/11.04 | | | | | | (35) all_4_3 = e3
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | SIMP: (35) implies:
% 73.99/11.04 | | | | | | (36) all_4_3 = e3
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | REDUCE: (2), (36) imply:
% 73.99/11.04 | | | | | | (37) ~ (all_4_1 = e3)
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | REF_CLOSE: (10), (12), (18), (21), (37) are inconsistent by
% 73.99/11.04 | | | | | | sub-proof #47.
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | Case 2:
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | (38) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | all_10_19
% 73.99/11.04 | | | | | | = e3
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | | REF_CLOSE: (3), (6), (13), (19), (29), (31), (32), (33), (38) are
% 73.99/11.04 | | | | | | inconsistent by sub-proof #46.
% 73.99/11.04 | | | | | |
% 73.99/11.04 | | | | | End of split
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | Case 2:
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | (39) all_6_21 = e0
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | COMBINE_EQS: (7), (39) imply:
% 73.99/11.04 | | | | | (40) all_4_9 = e0
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | REDUCE: (14), (40) imply:
% 73.99/11.04 | | | | | (41) $false
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | | CLOSE: (41) is inconsistent.
% 73.99/11.04 | | | | |
% 73.99/11.04 | | | | End of split
% 73.99/11.04 | | | |
% 73.99/11.04 | | | End of split
% 73.99/11.04 | | |
% 73.99/11.04 | | End of split
% 73.99/11.04 | |
% 73.99/11.04 | End of split
% 73.99/11.04 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #46 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) ~ (e3 = e2)
% 73.99/11.05 (2) ~ (all_4_8 = e3)
% 73.99/11.05 (3) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.99/11.05 (4) all_10_19 = e2
% 73.99/11.05 (5) all_10_15 = e4
% 73.99/11.05 (6) ~ (e3 = e0)
% 73.99/11.05 (7) all_10_13 = all_4_8
% 73.99/11.05 (8) ~ (e4 = e3)
% 73.99/11.05 (9) all_10_14 = e0
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | BETA: splitting (3) gives:
% 73.99/11.05 |
% 73.99/11.05 | Case 1:
% 73.99/11.05 | |
% 73.99/11.05 | | (10) all_10_13 = e3
% 73.99/11.05 | |
% 73.99/11.05 | | COMBINE_EQS: (7), (10) imply:
% 73.99/11.05 | | (11) all_4_8 = e3
% 73.99/11.05 | |
% 73.99/11.05 | | SIMP: (11) implies:
% 73.99/11.05 | | (12) all_4_8 = e3
% 73.99/11.05 | |
% 73.99/11.05 | | REDUCE: (2), (12) imply:
% 73.99/11.05 | | (13) $false
% 73.99/11.05 | |
% 73.99/11.05 | | CLOSE: (13) is inconsistent.
% 73.99/11.05 | |
% 73.99/11.05 | Case 2:
% 73.99/11.05 | |
% 73.99/11.05 | | (14) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.99/11.05 | |
% 73.99/11.05 | | REF_CLOSE: (1), (4), (5), (6), (8), (9), (14) are inconsistent by sub-proof
% 73.99/11.05 | | #98.
% 73.99/11.05 | |
% 73.99/11.05 | End of split
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #47 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_5 = all_4_1
% 73.99/11.05 (2) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 73.99/11.05 (3) ~ (all_4_1 = e1)
% 73.99/11.05 (4) ~ (all_4_1 = e3)
% 73.99/11.05 (5) ~ (all_4_1 = e0)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | BETA: splitting (2) gives:
% 73.99/11.05 |
% 73.99/11.05 | Case 1:
% 73.99/11.05 | |
% 73.99/11.05 | | (6) all_6_5 = e1
% 73.99/11.05 | |
% 73.99/11.05 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #181.
% 73.99/11.05 | |
% 73.99/11.05 | Case 2:
% 73.99/11.05 | |
% 73.99/11.05 | | (7) all_6_5 = e3 | all_6_5 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | BETA: splitting (7) gives:
% 73.99/11.05 | |
% 73.99/11.05 | | Case 1:
% 73.99/11.05 | | |
% 73.99/11.05 | | | (8) all_6_5 = e3
% 73.99/11.05 | | |
% 73.99/11.05 | | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #180.
% 73.99/11.05 | | |
% 73.99/11.05 | | Case 2:
% 73.99/11.05 | | |
% 73.99/11.05 | | | (9) all_6_5 = e0
% 73.99/11.05 | | |
% 73.99/11.05 | | | COMBINE_EQS: (1), (9) imply:
% 73.99/11.05 | | | (10) all_4_1 = e0
% 73.99/11.05 | | |
% 73.99/11.05 | | | SIMP: (10) implies:
% 73.99/11.05 | | | (11) all_4_1 = e0
% 73.99/11.05 | | |
% 73.99/11.05 | | | REDUCE: (5), (11) imply:
% 73.99/11.05 | | | (12) $false
% 73.99/11.05 | | |
% 73.99/11.05 | | | CLOSE: (12) is inconsistent.
% 73.99/11.05 | | |
% 73.99/11.05 | | End of split
% 73.99/11.05 | |
% 73.99/11.05 | End of split
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #48 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_15 = all_4_3
% 73.99/11.05 (2) all_6_15 = e0
% 73.99/11.05 (3) ~ (all_4_3 = e0)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) all_4_3 = e0
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) all_4_3 = e0
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #49 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) ~ (e4 = e1)
% 73.99/11.05 (2) all_10_15 = e4
% 73.99/11.05 (3) ~ (all_4_19 = e1)
% 73.99/11.05 (4) all_10_23 = all_4_19
% 73.99/11.05 (5) all_10_15 = e1 | all_10_23 = e1
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | BETA: splitting (5) gives:
% 73.99/11.05 |
% 73.99/11.05 | Case 1:
% 73.99/11.05 | |
% 73.99/11.05 | | (6) all_10_15 = e1
% 73.99/11.05 | |
% 73.99/11.05 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #85.
% 73.99/11.05 | |
% 73.99/11.05 | Case 2:
% 73.99/11.05 | |
% 73.99/11.05 | | (7) all_10_23 = e1
% 73.99/11.05 | |
% 73.99/11.05 | | COMBINE_EQS: (4), (7) imply:
% 73.99/11.05 | | (8) all_4_19 = e1
% 73.99/11.05 | |
% 73.99/11.05 | | SIMP: (8) implies:
% 73.99/11.05 | | (9) all_4_19 = e1
% 73.99/11.05 | |
% 73.99/11.05 | | REDUCE: (3), (9) imply:
% 73.99/11.05 | | (10) $false
% 73.99/11.05 | |
% 73.99/11.05 | | CLOSE: (10) is inconsistent.
% 73.99/11.05 | |
% 73.99/11.05 | End of split
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #50 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_3 = all_4_15
% 73.99/11.05 (2) ~ (all_4_15 = e1)
% 73.99/11.05 (3) all_10_22 = e2
% 73.99/11.05 (4) ~ (all_4_15 = e3)
% 73.99/11.05 (5) ~ (all_4_15 = e4)
% 73.99/11.05 (6) ~ (e2 = e0)
% 73.99/11.05 (7) all_10_23 = all_4_19
% 73.99/11.05 (8) ~ (all_4_15 = all_4_19)
% 73.99/11.05 (9) all_10_22 = e0 | all_10_23 = e0
% 73.99/11.05 (10) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | BETA: splitting (9) gives:
% 73.99/11.05 |
% 73.99/11.05 | Case 1:
% 73.99/11.05 | |
% 73.99/11.05 | | (11) all_10_22 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | COMBINE_EQS: (3), (11) imply:
% 73.99/11.05 | | (12) e2 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | SIMP: (12) implies:
% 73.99/11.05 | | (13) e2 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | REDUCE: (6), (13) imply:
% 73.99/11.05 | | (14) $false
% 73.99/11.05 | |
% 73.99/11.05 | | CLOSE: (14) is inconsistent.
% 73.99/11.05 | |
% 73.99/11.05 | Case 2:
% 73.99/11.05 | |
% 73.99/11.05 | | (15) all_10_23 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | COMBINE_EQS: (7), (15) imply:
% 73.99/11.05 | | (16) all_4_19 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | SIMP: (16) implies:
% 73.99/11.05 | | (17) all_4_19 = e0
% 73.99/11.05 | |
% 73.99/11.05 | | REDUCE: (8), (17) imply:
% 73.99/11.05 | | (18) ~ (all_4_15 = e0)
% 73.99/11.05 | |
% 73.99/11.05 | | REF_CLOSE: (1), (2), (4), (5), (10), (18) are inconsistent by sub-proof #83.
% 73.99/11.05 | |
% 73.99/11.05 | End of split
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #51 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) op(e4, e0) = e4
% 73.99/11.05 (2) op(e2, e0) = e4
% 73.99/11.05 (3) op(e1, e0) = e2
% 73.99/11.05 (4) op(e2, e0) = e2
% 73.99/11.05 (5) ~ (e1 = e0)
% 73.99/11.05 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.05 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.05 (7) op(e1, e0) = e1
% 73.99/11.05 (8) op(e4, e0) = e0
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | GROUND_INST: instantiating (6) with e2, e1, e0, e1, simplifying with (3), (7)
% 73.99/11.05 | gives:
% 73.99/11.05 | (9) e2 = e1
% 73.99/11.05 |
% 73.99/11.05 | GROUND_INST: instantiating (6) with e4, e2, e0, e2, simplifying with (2), (4)
% 73.99/11.05 | gives:
% 73.99/11.05 | (10) e4 = e2
% 73.99/11.05 |
% 73.99/11.05 | GROUND_INST: instantiating (6) with e0, e4, e0, e4, simplifying with (1), (8)
% 73.99/11.05 | gives:
% 73.99/11.05 | (11) e4 = e0
% 73.99/11.05 |
% 73.99/11.05 | REF_CLOSE: (5), (9), (10), (11) are inconsistent by sub-proof #52.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #52 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) e4 = e2
% 73.99/11.05 (2) e4 = e0
% 73.99/11.05 (3) e2 = e1
% 73.99/11.05 (4) ~ (e1 = e0)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (5) e2 = e0
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (5) implies:
% 73.99/11.05 | (6) e2 = e0
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (3), (6) imply:
% 73.99/11.05 | (7) e1 = e0
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (4), (7) imply:
% 73.99/11.05 | (8) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (8) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #53 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) ~ (e2 = e1)
% 73.99/11.05 (2) op(e3, e2) = e2
% 73.99/11.05 (3) op(e3, e4) = e4
% 73.99/11.05 (4) op(e3, e2) = e4
% 73.99/11.05 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.05 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.05 (6) op(e3, e4) = e1
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | GROUND_INST: instantiating (5) with e4, e2, e2, e3, simplifying with (2), (4)
% 73.99/11.05 | gives:
% 73.99/11.05 | (7) e4 = e2
% 73.99/11.05 |
% 73.99/11.05 | GROUND_INST: instantiating (5) with e1, e4, e4, e3, simplifying with (3), (6)
% 73.99/11.05 | gives:
% 73.99/11.05 | (8) e4 = e1
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (7), (8) imply:
% 73.99/11.05 | (9) e2 = e1
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (9) implies:
% 73.99/11.05 | (10) e2 = e1
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (1), (10) imply:
% 73.99/11.05 | (11) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (11) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #54 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_10_10 = e2
% 73.99/11.05 (2) all_10_10 = e1
% 73.99/11.05 (3) ~ (e2 = e1)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) e2 = e1
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) e2 = e1
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #55 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_15 = all_4_3
% 73.99/11.05 (2) all_6_15 = e4
% 73.99/11.05 (3) ~ (all_4_3 = e4)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) all_4_3 = e4
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) all_4_3 = e4
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #56 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_10_20 = e4
% 73.99/11.05 (2) all_10_20 = e0
% 73.99/11.05 (3) ~ (e4 = e0)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) e4 = e0
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) e4 = e0
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #57 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_7 = all_4_11
% 73.99/11.05 (2) all_6_7 = e2
% 73.99/11.05 (3) ~ (all_4_11 = e2)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) all_4_11 = e2
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) all_4_11 = e2
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #58 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_6_16 = all_4_8
% 73.99/11.05 (2) all_6_16 = e2
% 73.99/11.05 (3) ~ (all_4_8 = e2)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) all_4_8 = e2
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) all_4_8 = e2
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #59 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_10_5 = all_4_11
% 73.99/11.05 (2) all_10_5 = e2
% 73.99/11.05 (3) ~ (all_4_11 = e2)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) all_4_11 = e2
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) all_4_11 = e2
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #60 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_10_3 = e2
% 73.99/11.05 (2) all_10_3 = e0
% 73.99/11.05 (3) ~ (e2 = e0)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) e2 = e0
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) e2 = e0
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #61 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_8_68 = e4
% 73.99/11.05 (2) all_8_68 = e1
% 73.99/11.05 (3) ~ (e4 = e1)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) e4 = e1
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) e4 = e1
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.05 End of proof
% 73.99/11.05
% 73.99/11.05 Sub-proof #62 shows that the following formulas are inconsistent:
% 73.99/11.05 ----------------------------------------------------------------
% 73.99/11.05 (1) all_8_67 = e3
% 73.99/11.05 (2) all_8_67 = e1
% 73.99/11.05 (3) ~ (e3 = e1)
% 73.99/11.05
% 73.99/11.05 Begin of proof
% 73.99/11.05 |
% 73.99/11.05 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.05 | (4) e3 = e1
% 73.99/11.05 |
% 73.99/11.05 | SIMP: (4) implies:
% 73.99/11.05 | (5) e3 = e1
% 73.99/11.05 |
% 73.99/11.05 | REDUCE: (3), (5) imply:
% 73.99/11.05 | (6) $false
% 73.99/11.05 |
% 73.99/11.05 | CLOSE: (6) is inconsistent.
% 73.99/11.05 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #63 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) ~ (all_4_11 = e0)
% 73.99/11.06 (2) ~ (all_4_11 = e1)
% 73.99/11.06 (3) ~ (all_4_11 = e3)
% 73.99/11.06 (4) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.99/11.06 (5) all_6_7 = all_4_11
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (4) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (6) all_6_7 = e1
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (5), (6) imply:
% 73.99/11.06 | | (7) all_4_11 = e1
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (2), (7) imply:
% 73.99/11.06 | | (8) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (8) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (9) all_6_7 = e3 | all_6_7 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #64.
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #64 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_6_7 = e3 | all_6_7 = e0
% 73.99/11.06 (2) all_6_7 = all_4_11
% 73.99/11.06 (3) ~ (all_4_11 = e3)
% 73.99/11.06 (4) ~ (all_4_11 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (1) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (5) all_6_7 = e3
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (2), (5) imply:
% 73.99/11.06 | | (6) all_4_11 = e3
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (3), (6) imply:
% 73.99/11.06 | | (7) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (7) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (8) all_6_7 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (2), (8) imply:
% 73.99/11.06 | | (9) all_4_11 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (4), (9) imply:
% 73.99/11.06 | | (10) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (10) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #65 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_15 = e2 | all_10_23 = e2
% 73.99/11.06 (2) ~ (e4 = e2)
% 73.99/11.06 (3) all_10_15 = e4
% 73.99/11.06 (4) all_10_23 = all_4_19
% 73.99/11.06 (5) ~ (all_4_19 = e2)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (1) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (6) all_10_15 = e2
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (3), (6) imply:
% 73.99/11.06 | | (7) e4 = e2
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (2), (7) imply:
% 73.99/11.06 | | (8) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (8) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (9) all_10_23 = e2
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (4), (9) imply:
% 73.99/11.06 | | (10) all_4_19 = e2
% 73.99/11.06 | |
% 73.99/11.06 | | SIMP: (10) implies:
% 73.99/11.06 | | (11) all_4_19 = e2
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (5), (11) imply:
% 73.99/11.06 | | (12) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (12) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #66 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_9 = all_4_15
% 73.99/11.06 (2) all_10_9 = e2
% 73.99/11.06 (3) ~ (all_4_15 = e2)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) all_4_15 = e2
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) all_4_15 = e2
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #67 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_17 = all_4_21
% 73.99/11.06 (2) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 73.99/11.06 (3) all_6_9 = e3 | all_6_9 = e0
% 73.99/11.06 (4) all_6_9 = all_4_21
% 73.99/11.06 (5) ~ (e1 = e0)
% 73.99/11.06 (6) all_10_10 = e2
% 73.99/11.06 (7) all_10_5 = e4
% 73.99/11.06 (8) ~ (e2 = e0)
% 73.99/11.06 (9) ~ (all_4_21 = e0)
% 73.99/11.06 (10) ~ (e4 = e0)
% 73.99/11.06 (11) all_10_3 = e1
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (2) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (12) all_10_3 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (11), (12) imply:
% 73.99/11.06 | | (13) e1 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (5), (13) imply:
% 73.99/11.06 | | (14) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (14) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (15) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | BETA: splitting (15) gives:
% 73.99/11.06 | |
% 73.99/11.06 | | Case 1:
% 73.99/11.06 | | |
% 73.99/11.06 | | | (16) all_10_5 = e0
% 73.99/11.06 | | |
% 73.99/11.06 | | | COMBINE_EQS: (7), (16) imply:
% 73.99/11.06 | | | (17) e4 = e0
% 73.99/11.06 | | |
% 73.99/11.06 | | | SIMP: (17) implies:
% 73.99/11.06 | | | (18) e4 = e0
% 73.99/11.06 | | |
% 73.99/11.06 | | | REDUCE: (10), (18) imply:
% 73.99/11.06 | | | (19) $false
% 73.99/11.06 | | |
% 73.99/11.06 | | | CLOSE: (19) is inconsistent.
% 73.99/11.06 | | |
% 73.99/11.06 | | Case 2:
% 73.99/11.06 | | |
% 73.99/11.06 | | | (20) all_10_10 = e0 | all_10_17 = e0
% 73.99/11.06 | | |
% 73.99/11.06 | | | BETA: splitting (3) gives:
% 73.99/11.06 | | |
% 73.99/11.06 | | | Case 1:
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | (21) all_6_9 = e3
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | COMBINE_EQS: (4), (21) imply:
% 73.99/11.06 | | | | (22) all_4_21 = e3
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | SIMP: (22) implies:
% 73.99/11.06 | | | | (23) all_4_21 = e3
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | COMBINE_EQS: (1), (23) imply:
% 73.99/11.06 | | | | (24) all_10_17 = e3
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | REDUCE: (9), (23) imply:
% 73.99/11.06 | | | | (25) ~ (e3 = e0)
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | BETA: splitting (20) gives:
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | Case 1:
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | (26) all_10_10 = e0
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | REF_CLOSE: (6), (8), (26) are inconsistent by sub-proof #77.
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | Case 2:
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | (27) all_10_17 = e0
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | COMBINE_EQS: (24), (27) imply:
% 73.99/11.06 | | | | | (28) e3 = e0
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | REDUCE: (25), (28) imply:
% 73.99/11.06 | | | | | (29) $false
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | | CLOSE: (29) is inconsistent.
% 73.99/11.06 | | | | |
% 73.99/11.06 | | | | End of split
% 73.99/11.06 | | | |
% 73.99/11.06 | | | Case 2:
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | (30) all_6_9 = e0
% 73.99/11.06 | | | |
% 73.99/11.06 | | | | REF_CLOSE: (4), (9), (30) are inconsistent by sub-proof #220.
% 73.99/11.06 | | | |
% 73.99/11.06 | | | End of split
% 73.99/11.06 | | |
% 73.99/11.06 | | End of split
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #68 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_6_19 = e3 | all_6_19 = e0
% 73.99/11.06 (2) all_6_19 = all_4_23
% 73.99/11.06 (3) ~ (all_4_23 = e3)
% 73.99/11.06 (4) ~ (all_4_23 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (1) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (5) all_6_19 = e3
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (2), (5) imply:
% 73.99/11.06 | | (6) all_4_23 = e3
% 73.99/11.06 | |
% 73.99/11.06 | | SIMP: (6) implies:
% 73.99/11.06 | | (7) all_4_23 = e3
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (3), (7) imply:
% 73.99/11.06 | | (8) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (8) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (9) all_6_19 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (2), (9) imply:
% 73.99/11.06 | | (10) all_4_23 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | SIMP: (10) implies:
% 73.99/11.06 | | (11) all_4_23 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (4), (11) imply:
% 73.99/11.06 | | (12) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (12) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #69 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_6_19 = all_4_23
% 73.99/11.06 (2) all_6_19 = e4
% 73.99/11.06 (3) ~ (all_4_23 = e4)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) all_4_23 = e4
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) all_4_23 = e4
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #70 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4
% 73.99/11.06 (2) all_10_22 = e2
% 73.99/11.06 (3) ~ (e4 = e2)
% 73.99/11.06 (4) all_10_24 = e0
% 73.99/11.06 (5) all_10_23 = all_4_19
% 73.99/11.06 (6) ~ (all_4_19 = e4)
% 73.99/11.06 (7) ~ (e4 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (1) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (8) all_10_22 = e4
% 73.99/11.06 | |
% 73.99/11.06 | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #72.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (9) all_10_23 = e4 | all_10_24 = e4
% 73.99/11.06 | |
% 73.99/11.06 | | BETA: splitting (9) gives:
% 73.99/11.06 | |
% 73.99/11.06 | | Case 1:
% 73.99/11.06 | | |
% 73.99/11.06 | | | (10) all_10_23 = e4
% 73.99/11.06 | | |
% 73.99/11.06 | | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #71.
% 73.99/11.06 | | |
% 73.99/11.06 | | Case 2:
% 73.99/11.06 | | |
% 73.99/11.06 | | | (11) all_10_24 = e4
% 73.99/11.06 | | |
% 73.99/11.06 | | | COMBINE_EQS: (4), (11) imply:
% 73.99/11.06 | | | (12) e4 = e0
% 73.99/11.06 | | |
% 73.99/11.06 | | | REDUCE: (7), (12) imply:
% 73.99/11.06 | | | (13) $false
% 73.99/11.06 | | |
% 73.99/11.06 | | | CLOSE: (13) is inconsistent.
% 73.99/11.06 | | |
% 73.99/11.06 | | End of split
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #71 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_23 = all_4_19
% 73.99/11.06 (2) all_10_23 = e4
% 73.99/11.06 (3) ~ (all_4_19 = e4)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) all_4_19 = e4
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) all_4_19 = e4
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #72 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_22 = e4
% 73.99/11.06 (2) all_10_22 = e2
% 73.99/11.06 (3) ~ (e4 = e2)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) e4 = e2
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) e4 = e2
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #73 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_15 = e0 | all_10_23 = e0
% 73.99/11.06 (2) all_10_15 = e4
% 73.99/11.06 (3) all_10_23 = all_4_19
% 73.99/11.06 (4) ~ (all_4_19 = e0)
% 73.99/11.06 (5) ~ (e4 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | BETA: splitting (1) gives:
% 73.99/11.06 |
% 73.99/11.06 | Case 1:
% 73.99/11.06 | |
% 73.99/11.06 | | (6) all_10_15 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #177.
% 73.99/11.06 | |
% 73.99/11.06 | Case 2:
% 73.99/11.06 | |
% 73.99/11.06 | | (7) all_10_23 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | COMBINE_EQS: (3), (7) imply:
% 73.99/11.06 | | (8) all_4_19 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | SIMP: (8) implies:
% 73.99/11.06 | | (9) all_4_19 = e0
% 73.99/11.06 | |
% 73.99/11.06 | | REDUCE: (4), (9) imply:
% 73.99/11.06 | | (10) $false
% 73.99/11.06 | |
% 73.99/11.06 | | CLOSE: (10) is inconsistent.
% 73.99/11.06 | |
% 73.99/11.06 | End of split
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #74 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_8_57 = e0 & ~ (all_8_56 = e2) & ~ (all_8_58 = all_8_59)
% 73.99/11.06 (2) all_8_57 = e3
% 73.99/11.06 (3) ~ (e3 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | ALPHA: (1) implies:
% 73.99/11.06 | (4) all_8_57 = e0
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (2), (4) imply:
% 73.99/11.06 | (5) e3 = e0
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (5) implies:
% 73.99/11.06 | (6) e3 = e0
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (6) imply:
% 73.99/11.06 | (7) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (7) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #75 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_8_42 = e1 & ~ (all_8_41 = e2) & ~ (all_8_43 = all_8_44)
% 73.99/11.06 (2) all_8_42 = e2
% 73.99/11.06 (3) ~ (e2 = e1)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | ALPHA: (1) implies:
% 73.99/11.06 | (4) all_8_42 = e1
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (2), (4) imply:
% 73.99/11.06 | (5) e2 = e1
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (5) implies:
% 73.99/11.06 | (6) e2 = e1
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (6) imply:
% 73.99/11.06 | (7) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (7) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #76 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_22 = all_8_23)
% 73.99/11.06 (2) all_8_4 = e0
% 73.99/11.06 (3) ~ (e4 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | ALPHA: (1) implies:
% 73.99/11.06 | (4) all_8_4 = e4
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (2), (4) imply:
% 73.99/11.06 | (5) e4 = e0
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #77 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_10 = e2
% 73.99/11.06 (2) all_10_10 = e0
% 73.99/11.06 (3) ~ (e2 = e0)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) e2 = e0
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) e2 = e0
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #78 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_6_21 = all_4_9
% 73.99/11.06 (2) all_6_21 = e4
% 73.99/11.06 (3) ~ (all_4_9 = e4)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.06 | (4) all_4_9 = e4
% 73.99/11.06 |
% 73.99/11.06 | SIMP: (4) implies:
% 73.99/11.06 | (5) all_4_9 = e4
% 73.99/11.06 |
% 73.99/11.06 | REDUCE: (3), (5) imply:
% 73.99/11.06 | (6) $false
% 73.99/11.06 |
% 73.99/11.06 | CLOSE: (6) is inconsistent.
% 73.99/11.06 |
% 73.99/11.06 End of proof
% 73.99/11.06
% 73.99/11.06 Sub-proof #79 shows that the following formulas are inconsistent:
% 73.99/11.06 ----------------------------------------------------------------
% 73.99/11.06 (1) all_10_11 = all_4_17
% 73.99/11.06 (2) all_10_11 = e2
% 73.99/11.06 (3) ~ (all_4_17 = e2)
% 73.99/11.06
% 73.99/11.06 Begin of proof
% 73.99/11.06 |
% 73.99/11.06 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_17 = e2
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_17 = e2
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #80 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_3 = e2
% 73.99/11.07 (2) all_10_3 = e1
% 73.99/11.07 (3) ~ (e2 = e1)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) e2 = e1
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) e2 = e1
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #81 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_2 = all_4_1
% 73.99/11.07 (2) all_10_2 = e2
% 73.99/11.07 (3) ~ (all_4_1 = e2)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_1 = e2
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_1 = e2
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #82 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_12 = e0 | all_10_20 = e0
% 73.99/11.07 (2) ~ (all_4_4 = e0)
% 73.99/11.07 (3) all_10_20 = all_4_4
% 73.99/11.07 (4) all_10_12 = all_4_3
% 73.99/11.07 (5) ~ (all_4_3 = e0)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (1) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (6) all_10_12 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (4), (6) imply:
% 73.99/11.07 | | (7) all_4_3 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | SIMP: (7) implies:
% 73.99/11.07 | | (8) all_4_3 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (5), (8) imply:
% 73.99/11.07 | | (9) $false
% 73.99/11.07 | |
% 73.99/11.07 | | CLOSE: (9) is inconsistent.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (10) all_10_20 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (3), (10) imply:
% 73.99/11.07 | | (11) all_4_4 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | SIMP: (11) implies:
% 73.99/11.07 | | (12) all_4_4 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (2), (12) imply:
% 73.99/11.07 | | (13) $false
% 73.99/11.07 | |
% 73.99/11.07 | | CLOSE: (13) is inconsistent.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #83 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_6_3 = all_4_15
% 73.99/11.07 (2) ~ (all_4_15 = e1)
% 73.99/11.07 (3) ~ (all_4_15 = e3)
% 73.99/11.07 (4) ~ (all_4_15 = e4)
% 73.99/11.07 (5) ~ (all_4_15 = e0)
% 73.99/11.07 (6) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (6) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (7) all_6_3 = e4
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #200.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (8) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #90.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #84 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ~ (all_4_5 = e1)
% 73.99/11.07 (2) ~ (all_4_5 = e0)
% 73.99/11.07 (3) ~ (all_4_5 = e4)
% 73.99/11.07 (4) all_6_1 = all_4_5
% 73.99/11.07 (5) ~ (all_4_5 = e3)
% 73.99/11.07 (6) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (6) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (7) all_6_1 = e4
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #251.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (8) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #234.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #85 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_15 = e4
% 73.99/11.07 (2) all_10_15 = e1
% 73.99/11.07 (3) ~ (e4 = e1)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) e4 = e1
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) e4 = e1
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #86 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_6_20 = all_4_4
% 73.99/11.07 (2) all_6_20 = e4
% 73.99/11.07 (3) ~ (all_4_4 = e4)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_4 = e4
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_4 = e4
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #87 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_21 = all_4_9
% 73.99/11.07 (2) all_10_21 = e0
% 73.99/11.07 (3) ~ (all_4_9 = e0)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_9 = e0
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_9 = e0
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #88 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 73.99/11.07 (2) ~ (e4 = e1)
% 73.99/11.07 (3) ~ (all_4_1 = e4)
% 73.99/11.07 (4) all_10_20 = all_4_4
% 73.99/11.07 (5) all_10_6 = e0
% 73.99/11.07 (6) all_10_12 = e1
% 73.99/11.07 (7) ~ (e4 = e0)
% 73.99/11.07 (8) ~ (all_4_4 = e4)
% 73.99/11.07 (9) all_10_2 = all_4_1
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (1) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (10) all_10_2 = e4
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (3), (9), (10) are inconsistent by sub-proof #203.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (11) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (11) are inconsistent by sub-proof
% 73.99/11.07 | | #126.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #89 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ~ (e3 = e1)
% 73.99/11.07 (2) all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.99/11.07 (3) all_10_6 = all_4_2
% 73.99/11.07 (4) ~ (all_4_2 = e3)
% 73.99/11.07 (5) all_10_12 = e1
% 73.99/11.07 (6) ~ (all_4_1 = e3)
% 73.99/11.07 (7) all_10_20 = e4
% 73.99/11.07 (8) ~ (e4 = e3)
% 73.99/11.07 (9) all_10_2 = all_4_1
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (2) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (10) all_10_2 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (9), (10) imply:
% 73.99/11.07 | | (11) all_4_1 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (6), (11) imply:
% 73.99/11.07 | | (12) $false
% 73.99/11.07 | |
% 73.99/11.07 | | CLOSE: (12) is inconsistent.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (13) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (13) are inconsistent by sub-proof
% 73.99/11.07 | | #186.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #90 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_6_3 = all_4_15
% 73.99/11.07 (2) ~ (all_4_15 = e1)
% 73.99/11.07 (3) ~ (all_4_15 = e3)
% 73.99/11.07 (4) ~ (all_4_15 = e0)
% 73.99/11.07 (5) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (5) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (6) all_6_3 = e1
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (1), (6) imply:
% 73.99/11.07 | | (7) all_4_15 = e1
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (2), (7) imply:
% 73.99/11.07 | | (8) $false
% 73.99/11.07 | |
% 73.99/11.07 | | CLOSE: (8) is inconsistent.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (9) all_6_3 = e3 | all_6_3 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #172.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #91 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.07 (2) ~ (e2 = e0)
% 73.99/11.07 (3) op(e0, e4) = e4
% 73.99/11.07 (4) op(e0, unit) = e0
% 73.99/11.07 (5) op(e4, unit) = e4
% 73.99/11.07 (6) op(e4, e4) = e2
% 73.99/11.07 (7) unit = e4
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (5), (7) imply:
% 73.99/11.07 | (8) op(e4, e4) = e4
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (4), (7) imply:
% 73.99/11.07 | (9) op(e0, e4) = e0
% 73.99/11.07 |
% 73.99/11.07 | REF_CLOSE: (1), (2), (3), (6), (8), (9) are inconsistent by sub-proof #142.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #92 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_6_4 = all_4_20
% 73.99/11.07 (2) all_6_4 = e2
% 73.99/11.07 (3) ~ (all_4_20 = e2)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_20 = e2
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_20 = e2
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #93 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ~ (e4 = e1)
% 73.99/11.07 (2) ~ (e2 = e1)
% 73.99/11.07 (3) ~ (all_4_8 = e1)
% 73.99/11.07 (4) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.99/11.07 (5) all_10_19 = e2
% 73.99/11.07 (6) ~ (all_4_8 = e0)
% 73.99/11.07 (7) all_10_15 = e4
% 73.99/11.07 (8) ~ (e1 = e0)
% 73.99/11.07 (9) all_10_13 = all_4_8
% 73.99/11.07 (10) all_6_16 = all_4_8
% 73.99/11.07 (11) all_10_14 = e0
% 73.99/11.07 (12) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (12) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (13) all_6_16 = e1
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (10), (13) imply:
% 73.99/11.07 | | (14) all_4_8 = e1
% 73.99/11.07 | |
% 73.99/11.07 | | SIMP: (14) implies:
% 73.99/11.07 | | (15) all_4_8 = e1
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (3), (15) imply:
% 73.99/11.07 | | (16) $false
% 73.99/11.07 | |
% 73.99/11.07 | | CLOSE: (16) is inconsistent.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (17) ~ (all_6_16 = e1)
% 73.99/11.07 | | (18) all_6_16 = e3 | all_6_16 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (18) are
% 73.99/11.07 | | inconsistent by sub-proof #94.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #94 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ~ (e4 = e1)
% 73.99/11.07 (2) ~ (e2 = e1)
% 73.99/11.07 (3) ~ (all_4_8 = e1)
% 73.99/11.07 (4) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.99/11.07 (5) all_10_19 = e2
% 73.99/11.07 (6) ~ (all_4_8 = e0)
% 73.99/11.07 (7) all_10_15 = e4
% 73.99/11.07 (8) ~ (e1 = e0)
% 73.99/11.07 (9) all_10_13 = all_4_8
% 73.99/11.07 (10) all_6_16 = all_4_8
% 73.99/11.07 (11) all_10_14 = e0
% 73.99/11.07 (12) all_6_16 = e3 | all_6_16 = e0
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | BETA: splitting (12) gives:
% 73.99/11.07 |
% 73.99/11.07 | Case 1:
% 73.99/11.07 | |
% 73.99/11.07 | | (13) all_6_16 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (10), (13) imply:
% 73.99/11.07 | | (14) all_4_8 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | SIMP: (14) implies:
% 73.99/11.07 | | (15) all_4_8 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | COMBINE_EQS: (9), (15) imply:
% 73.99/11.07 | | (16) all_10_13 = e3
% 73.99/11.07 | |
% 73.99/11.07 | | REDUCE: (3), (15) imply:
% 73.99/11.07 | | (17) ~ (e3 = e1)
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (11), (16), (17) are inconsistent
% 73.99/11.07 | | by sub-proof #96.
% 73.99/11.07 | |
% 73.99/11.07 | Case 2:
% 73.99/11.07 | |
% 73.99/11.07 | | (18) all_6_16 = e0
% 73.99/11.07 | |
% 73.99/11.07 | | REF_CLOSE: (6), (10), (18) are inconsistent by sub-proof #95.
% 73.99/11.07 | |
% 73.99/11.07 | End of split
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #95 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) all_6_16 = all_4_8
% 73.99/11.07 (2) all_6_16 = e0
% 73.99/11.07 (3) ~ (all_4_8 = e0)
% 73.99/11.07
% 73.99/11.07 Begin of proof
% 73.99/11.07 |
% 73.99/11.07 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.07 | (4) all_4_8 = e0
% 73.99/11.07 |
% 73.99/11.07 | SIMP: (4) implies:
% 73.99/11.07 | (5) all_4_8 = e0
% 73.99/11.07 |
% 73.99/11.07 | REDUCE: (3), (5) imply:
% 73.99/11.07 | (6) $false
% 73.99/11.07 |
% 73.99/11.07 | CLOSE: (6) is inconsistent.
% 73.99/11.07 |
% 73.99/11.07 End of proof
% 73.99/11.07
% 73.99/11.07 Sub-proof #96 shows that the following formulas are inconsistent:
% 73.99/11.07 ----------------------------------------------------------------
% 73.99/11.07 (1) ~ (e3 = e1)
% 73.99/11.07 (2) all_10_13 = e3
% 73.99/11.07 (3) ~ (e4 = e1)
% 73.99/11.08 (4) ~ (e2 = e1)
% 73.99/11.08 (5) all_10_13 = e1 | all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.99/11.08 (6) all_10_19 = e2
% 73.99/11.08 (7) all_10_15 = e4
% 73.99/11.08 (8) ~ (e1 = e0)
% 73.99/11.08 (9) all_10_14 = e0
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (5) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (10) all_10_13 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (2), (10) imply:
% 73.99/11.08 | | (11) e3 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (11) implies:
% 73.99/11.08 | | (12) e3 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (1), (12) imply:
% 73.99/11.08 | | (13) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (13) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (14) all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (14) are inconsistent by sub-proof
% 73.99/11.08 | | #97.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #97 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (e4 = e1)
% 73.99/11.08 (2) ~ (e2 = e1)
% 73.99/11.08 (3) all_10_19 = e2
% 73.99/11.08 (4) all_10_15 = e4
% 73.99/11.08 (5) ~ (e1 = e0)
% 73.99/11.08 (6) all_10_14 = e1 | all_10_15 = e1 | all_10_19 = e1
% 73.99/11.08 (7) all_10_14 = e0
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (6) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (8) all_10_14 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (7), (8) imply:
% 73.99/11.08 | | (9) e1 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (5), (9) imply:
% 73.99/11.08 | | (10) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (10) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (11) all_10_15 = e1 | all_10_19 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | BETA: splitting (11) gives:
% 73.99/11.08 | |
% 73.99/11.08 | | Case 1:
% 73.99/11.08 | | |
% 73.99/11.08 | | | (12) all_10_15 = e1
% 73.99/11.08 | | |
% 73.99/11.08 | | | COMBINE_EQS: (4), (12) imply:
% 73.99/11.08 | | | (13) e4 = e1
% 73.99/11.08 | | |
% 73.99/11.08 | | | REDUCE: (1), (13) imply:
% 73.99/11.08 | | | (14) $false
% 73.99/11.08 | | |
% 73.99/11.08 | | | CLOSE: (14) is inconsistent.
% 73.99/11.08 | | |
% 73.99/11.08 | | Case 2:
% 73.99/11.08 | | |
% 73.99/11.08 | | | (15) all_10_19 = e1
% 73.99/11.08 | | |
% 73.99/11.08 | | | COMBINE_EQS: (3), (15) imply:
% 73.99/11.08 | | | (16) e2 = e1
% 73.99/11.08 | | |
% 73.99/11.08 | | | SIMP: (16) implies:
% 73.99/11.08 | | | (17) e2 = e1
% 73.99/11.08 | | |
% 73.99/11.08 | | | REDUCE: (2), (17) imply:
% 73.99/11.08 | | | (18) $false
% 73.99/11.08 | | |
% 73.99/11.08 | | | CLOSE: (18) is inconsistent.
% 73.99/11.08 | | |
% 73.99/11.08 | | End of split
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #98 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (e3 = e2)
% 73.99/11.08 (2) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 73.99/11.08 (3) all_10_19 = e2
% 73.99/11.08 (4) all_10_15 = e4
% 73.99/11.08 (5) ~ (e3 = e0)
% 73.99/11.08 (6) ~ (e4 = e3)
% 73.99/11.08 (7) all_10_14 = e0
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (2) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (8) all_10_14 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (7), (8) imply:
% 73.99/11.08 | | (9) e3 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (5), (9) imply:
% 73.99/11.08 | | (10) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (10) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (11) all_10_15 = e3 | all_10_19 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | BETA: splitting (11) gives:
% 73.99/11.08 | |
% 73.99/11.08 | | Case 1:
% 73.99/11.08 | | |
% 73.99/11.08 | | | (12) all_10_15 = e3
% 73.99/11.08 | | |
% 73.99/11.08 | | | COMBINE_EQS: (4), (12) imply:
% 73.99/11.08 | | | (13) e4 = e3
% 73.99/11.08 | | |
% 73.99/11.08 | | | REDUCE: (6), (13) imply:
% 73.99/11.08 | | | (14) $false
% 73.99/11.08 | | |
% 73.99/11.08 | | | CLOSE: (14) is inconsistent.
% 73.99/11.08 | | |
% 73.99/11.08 | | Case 2:
% 73.99/11.08 | | |
% 73.99/11.08 | | | (15) all_10_19 = e3
% 73.99/11.08 | | |
% 73.99/11.08 | | | COMBINE_EQS: (3), (15) imply:
% 73.99/11.08 | | | (16) e3 = e2
% 73.99/11.08 | | |
% 73.99/11.08 | | | REDUCE: (1), (16) imply:
% 73.99/11.08 | | | (17) $false
% 73.99/11.08 | | |
% 73.99/11.08 | | | CLOSE: (17) is inconsistent.
% 73.99/11.08 | | |
% 73.99/11.08 | | End of split
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #99 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (all_4_9 = e3)
% 73.99/11.08 (2) all_6_21 = all_4_9
% 73.99/11.08 (3) ~ (all_4_9 = e0)
% 73.99/11.08 (4) ~ (all_4_9 = e1)
% 73.99/11.08 (5) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (5) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (6) all_6_21 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #157.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (7) all_6_21 = e3 | all_6_21 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #155.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #100 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_6_9 = all_4_21
% 73.99/11.08 (2) ~ (all_4_21 = e3)
% 73.99/11.08 (3) ~ (all_4_21 = e1)
% 73.99/11.08 (4) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.99/11.08 (5) ~ (all_4_21 = e0)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (4) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (6) all_6_9 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #221.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (7) all_6_9 = e3 | all_6_9 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #111.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #101 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (e4 = e1)
% 73.99/11.08 (2) all_10_11 = all_4_17
% 73.99/11.08 (3) all_10_11 = e4 | all_10_18 = e4
% 73.99/11.08 (4) ~ (all_4_17 = e4)
% 73.99/11.08 (5) all_10_18 = e1
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (3) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (6) all_10_11 = e4
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #102.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (7) all_10_18 = e4
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (5), (7) imply:
% 73.99/11.08 | | (8) e4 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (8) implies:
% 73.99/11.08 | | (9) e4 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (1), (9) imply:
% 73.99/11.08 | | (10) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (10) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #102 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_10_11 = all_4_17
% 73.99/11.08 (2) all_10_11 = e4
% 73.99/11.08 (3) ~ (all_4_17 = e4)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.08 | (4) all_4_17 = e4
% 73.99/11.08 |
% 73.99/11.08 | SIMP: (4) implies:
% 73.99/11.08 | (5) all_4_17 = e4
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (3), (5) imply:
% 73.99/11.08 | (6) $false
% 73.99/11.08 |
% 73.99/11.08 | CLOSE: (6) is inconsistent.
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #103 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_10_8 = e4
% 73.99/11.08 (2) all_10_8 = e3
% 73.99/11.08 (3) ~ (e4 = e3)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.08 | (4) e4 = e3
% 73.99/11.08 |
% 73.99/11.08 | SIMP: (4) implies:
% 73.99/11.08 | (5) e4 = e3
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (3), (5) imply:
% 73.99/11.08 | (6) $false
% 73.99/11.08 |
% 73.99/11.08 | CLOSE: (6) is inconsistent.
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #104 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_10_7 = e4
% 73.99/11.08 (2) all_10_7 = e2
% 73.99/11.08 (3) ~ (e4 = e2)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.08 | (4) e4 = e2
% 73.99/11.08 |
% 73.99/11.08 | SIMP: (4) implies:
% 73.99/11.08 | (5) e4 = e2
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (3), (5) imply:
% 73.99/11.08 | (6) $false
% 73.99/11.08 |
% 73.99/11.08 | CLOSE: (6) is inconsistent.
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #105 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (all_4_22 = e1)
% 73.99/11.08 (2) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.99/11.08 (3) ~ (all_4_22 = e3)
% 73.99/11.08 (4) all_6_14 = all_4_22
% 73.99/11.08 (5) ~ (all_4_22 = e0)
% 73.99/11.08 (6) ~ (all_4_22 = e4)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (2) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (7) all_6_14 = e4
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (4), (7) imply:
% 73.99/11.08 | | (8) all_4_22 = e4
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (8) implies:
% 73.99/11.08 | | (9) all_4_22 = e4
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (6), (9) imply:
% 73.99/11.08 | | (10) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (10) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (11) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (1), (3), (4), (5), (11) are inconsistent by sub-proof #108.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #106 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (e3 = e2)
% 73.99/11.08 (2) all_8_39 = e3
% 73.99/11.08 (3) all_10_11 = all_4_17
% 73.99/11.08 (4) all_10_23 = e2
% 73.99/11.08 (5) all_10_15 = e4
% 73.99/11.08 (6) all_8_40 = all_4_16
% 73.99/11.08 (7) all_10_10 = all_4_16
% 73.99/11.08 (8) ~ (all_4_17 = e3)
% 73.99/11.08 (9) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 73.99/11.08 (10) ~ (all_8_39 = all_8_40)
% 73.99/11.08 (11) ~ (e4 = e3)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (2), (6), (10) imply:
% 73.99/11.08 | (12) ~ (all_4_16 = e3)
% 73.99/11.08 |
% 73.99/11.08 | SIMP: (12) implies:
% 73.99/11.08 | (13) ~ (all_4_16 = e3)
% 73.99/11.08 |
% 73.99/11.08 | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (11), (13) are inconsistent by
% 73.99/11.08 | sub-proof #107.
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #107 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (e3 = e2)
% 73.99/11.08 (2) all_10_11 = all_4_17
% 73.99/11.08 (3) all_10_23 = e2
% 73.99/11.08 (4) all_10_15 = e4
% 73.99/11.08 (5) all_10_10 = all_4_16
% 73.99/11.08 (6) ~ (all_4_17 = e3)
% 73.99/11.08 (7) ~ (all_4_16 = e3)
% 73.99/11.08 (8) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 73.99/11.08 (9) ~ (e4 = e3)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (8) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (10) all_10_10 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (5), (10) imply:
% 73.99/11.08 | | (11) all_4_16 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (11) implies:
% 73.99/11.08 | | (12) all_4_16 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (7), (12) imply:
% 73.99/11.08 | | (13) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (13) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (14) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (1), (2), (3), (4), (6), (9), (14) are inconsistent by sub-proof
% 73.99/11.08 | | #226.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #108 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) ~ (all_4_22 = e1)
% 73.99/11.08 (2) ~ (all_4_22 = e3)
% 73.99/11.08 (3) all_6_14 = all_4_22
% 73.99/11.08 (4) ~ (all_4_22 = e0)
% 73.99/11.08 (5) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (5) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (6) all_6_14 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (3), (6) imply:
% 73.99/11.08 | | (7) all_4_22 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (7) implies:
% 73.99/11.08 | | (8) all_4_22 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (1), (8) imply:
% 73.99/11.08 | | (9) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (9) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (10) all_6_14 = e3 | all_6_14 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #109.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #109 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_6_14 = e3 | all_6_14 = e0
% 73.99/11.08 (2) all_6_14 = all_4_22
% 73.99/11.08 (3) ~ (all_4_22 = e3)
% 73.99/11.08 (4) ~ (all_4_22 = e0)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (1) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (5) all_6_14 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (2), (5) imply:
% 73.99/11.08 | | (6) all_4_22 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (6) implies:
% 73.99/11.08 | | (7) all_4_22 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (3), (7) imply:
% 73.99/11.08 | | (8) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (8) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (9) all_6_14 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (2), (9) imply:
% 73.99/11.08 | | (10) all_4_22 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (10) implies:
% 73.99/11.08 | | (11) all_4_22 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (4), (11) imply:
% 73.99/11.08 | | (12) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (12) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #110 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_10_17 = all_4_21
% 73.99/11.08 (2) all_6_9 = all_4_21
% 73.99/11.08 (3) ~ (all_10_17 = e3)
% 73.99/11.08 (4) ~ (all_4_21 = e1)
% 73.99/11.08 (5) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 73.99/11.08 (6) ~ (all_4_21 = e0)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (1), (3) imply:
% 73.99/11.08 | (7) ~ (all_4_21 = e3)
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (5) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (8) all_6_9 = e1
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #221.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (9) all_6_9 = e3 | all_6_9 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (6), (7), (9) are inconsistent by sub-proof #111.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #111 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_6_9 = e3 | all_6_9 = e0
% 73.99/11.08 (2) all_6_9 = all_4_21
% 73.99/11.08 (3) ~ (all_4_21 = e3)
% 73.99/11.08 (4) ~ (all_4_21 = e0)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | BETA: splitting (1) gives:
% 73.99/11.08 |
% 73.99/11.08 | Case 1:
% 73.99/11.08 | |
% 73.99/11.08 | | (5) all_6_9 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | COMBINE_EQS: (2), (5) imply:
% 73.99/11.08 | | (6) all_4_21 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | SIMP: (6) implies:
% 73.99/11.08 | | (7) all_4_21 = e3
% 73.99/11.08 | |
% 73.99/11.08 | | REDUCE: (3), (7) imply:
% 73.99/11.08 | | (8) $false
% 73.99/11.08 | |
% 73.99/11.08 | | CLOSE: (8) is inconsistent.
% 73.99/11.08 | |
% 73.99/11.08 | Case 2:
% 73.99/11.08 | |
% 73.99/11.08 | | (9) all_6_9 = e0
% 73.99/11.08 | |
% 73.99/11.08 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #220.
% 73.99/11.08 | |
% 73.99/11.08 | End of split
% 73.99/11.08 |
% 73.99/11.08 End of proof
% 73.99/11.08
% 73.99/11.08 Sub-proof #112 shows that the following formulas are inconsistent:
% 73.99/11.08 ----------------------------------------------------------------
% 73.99/11.08 (1) all_10_10 = all_4_16
% 73.99/11.08 (2) all_10_10 = e1
% 73.99/11.08 (3) ~ (all_4_16 = e1)
% 73.99/11.08
% 73.99/11.08 Begin of proof
% 73.99/11.08 |
% 73.99/11.08 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.08 | (4) all_4_16 = e1
% 73.99/11.08 |
% 73.99/11.08 | SIMP: (4) implies:
% 73.99/11.08 | (5) all_4_16 = e1
% 73.99/11.08 |
% 73.99/11.08 | REDUCE: (3), (5) imply:
% 73.99/11.08 | (6) $false
% 73.99/11.08 |
% 73.99/11.08 | CLOSE: (6) is inconsistent.
% 73.99/11.08 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #113 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_9 = all_4_15
% 73.99/11.09 (2) all_10_9 = e1
% 73.99/11.09 (3) ~ (all_4_15 = e1)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_15 = e1
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_15 = e1
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #114 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_13 = all_4_17
% 73.99/11.09 (2) all_6_13 = e2
% 73.99/11.09 (3) ~ (all_4_17 = e2)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_17 = e2
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_17 = e2
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #115 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_4 = e4
% 73.99/11.09 (2) all_10_4 = e1
% 73.99/11.09 (3) ~ (e4 = e1)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) e4 = e1
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) e4 = e1
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #116 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_18 = all_4_22
% 73.99/11.09 (2) all_10_18 = e2
% 73.99/11.09 (3) ~ (all_4_22 = e2)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_22 = e2
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_22 = e2
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #117 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_6 = e4
% 73.99/11.09 (2) ~ (e1 = e0)
% 73.99/11.09 (3) ~ (all_4_4 = e0)
% 73.99/11.09 (4) all_10_20 = all_4_4
% 73.99/11.09 (5) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 73.99/11.09 (6) all_10_12 = e1
% 73.99/11.09 (7) ~ (e4 = e0)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (5) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (8) all_10_6 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (1), (7), (8) are inconsistent by sub-proof #211.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (9) all_10_12 = e0 | all_10_20 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (2), (3), (4), (6), (9) are inconsistent by sub-proof #190.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #118 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_23 = e3 | all_6_23 = e0
% 73.99/11.09 (2) all_6_23 = all_4_19
% 73.99/11.09 (3) ~ (all_4_19 = e3)
% 73.99/11.09 (4) ~ (all_4_19 = e0)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (1) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (5) all_6_23 = e3
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #119.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (6) all_6_23 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | COMBINE_EQS: (2), (6) imply:
% 73.99/11.09 | | (7) all_4_19 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | SIMP: (7) implies:
% 73.99/11.09 | | (8) all_4_19 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (4), (8) imply:
% 73.99/11.09 | | (9) $false
% 73.99/11.09 | |
% 73.99/11.09 | | CLOSE: (9) is inconsistent.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #119 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_23 = all_4_19
% 73.99/11.09 (2) all_6_23 = e3
% 73.99/11.09 (3) ~ (all_4_19 = e3)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_19 = e3
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_19 = e3
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #120 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_23 = all_4_19
% 73.99/11.09 (2) all_6_23 = e4
% 73.99/11.09 (3) ~ (all_4_19 = e4)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_19 = e4
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_19 = e4
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #121 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_11 = e2
% 73.99/11.09 (2) all_10_11 = e0
% 73.99/11.09 (3) ~ (e2 = e0)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) e2 = e0
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) e2 = e0
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #122 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_10_10 = all_4_16
% 73.99/11.09 (2) all_10_10 = e0
% 73.99/11.09 (3) ~ (all_4_16 = e0)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | COMBINE_EQS: (1), (2) imply:
% 73.99/11.09 | (4) all_4_16 = e0
% 73.99/11.09 |
% 73.99/11.09 | SIMP: (4) implies:
% 73.99/11.09 | (5) all_4_16 = e0
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (3), (5) imply:
% 73.99/11.09 | (6) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (6) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #123 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) ~ (all_4_7 = e4)
% 73.99/11.09 (2) ~ (all_4_7 = e1)
% 73.99/11.09 (3) ~ (all_4_7 = e0)
% 73.99/11.09 (4) ~ (all_4_7 = e3)
% 73.99/11.09 (5) all_6_11 = all_4_7
% 73.99/11.09 (6) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (6) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (7) all_6_11 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | COMBINE_EQS: (5), (7) imply:
% 73.99/11.09 | | (8) all_4_7 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (1), (8) imply:
% 73.99/11.09 | | (9) $false
% 73.99/11.09 | |
% 73.99/11.09 | | CLOSE: (9) is inconsistent.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (10) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #208.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #124 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.99/11.09 (2) op(e1, e2) = e0
% 73.99/11.09 (3) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.99/11.09 (4) op(all_4_10, e2) = all_8_4
% 73.99/11.09 (5) op(e2, e3) = e0
% 73.99/11.09 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.09 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.09 (7) op(e4, e1) = e0
% 73.99/11.09 (8) op(e2, e0) = e1
% 73.99/11.09 (9) ~ (e2 = e0)
% 73.99/11.09 (10) ~ (all_4_10 = e2)
% 73.99/11.09 (11) op(unit, e2) = e2
% 73.99/11.09 (12) op(unit, e1) = e1
% 73.99/11.09 (13) all_6_2 = all_4_10
% 73.99/11.09 (14) ~ (all_4_10 = e3)
% 73.99/11.09 (15) ~ (all_4_10 = e0)
% 73.99/11.09 (16) op(e2, unit) = e2
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (1) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (17) all_6_2 = e1
% 73.99/11.09 | |
% 73.99/11.09 | | COMBINE_EQS: (13), (17) imply:
% 73.99/11.09 | | (18) all_4_10 = e1
% 73.99/11.09 | |
% 73.99/11.09 | | SIMP: (18) implies:
% 73.99/11.09 | | (19) all_4_10 = e1
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (10), (19) imply:
% 73.99/11.09 | | (20) ~ (e2 = e1)
% 73.99/11.09 | |
% 73.99/11.09 | | SIMP: (20) implies:
% 73.99/11.09 | | (21) ~ (e2 = e1)
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (15), (19) imply:
% 73.99/11.09 | | (22) ~ (e1 = e0)
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (4), (19) imply:
% 73.99/11.09 | | (23) op(e1, e2) = all_8_4
% 73.99/11.09 | |
% 73.99/11.09 | | GROUND_INST: instantiating (6) with e0, all_8_4, e2, e1, simplifying with
% 73.99/11.09 | | (2), (23) gives:
% 73.99/11.09 | | (24) all_8_4 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | BETA: splitting (3) gives:
% 73.99/11.09 | |
% 73.99/11.09 | | Case 1:
% 73.99/11.09 | | |
% 73.99/11.09 | | | (25) unit = e4
% 73.99/11.09 | | |
% 73.99/11.09 | | | REF_CLOSE: (6), (7), (12), (22), (25) are inconsistent by sub-proof #169.
% 73.99/11.09 | | |
% 73.99/11.09 | | Case 2:
% 73.99/11.09 | | |
% 73.99/11.09 | | | (26) unit = e3 | unit = e1 | unit = e0
% 73.99/11.09 | | |
% 73.99/11.09 | | | BETA: splitting (26) gives:
% 73.99/11.09 | | |
% 73.99/11.09 | | | Case 1:
% 73.99/11.09 | | | |
% 73.99/11.09 | | | | (27) unit = e1
% 73.99/11.09 | | | |
% 73.99/11.09 | | | | REF_CLOSE: (2), (6), (9), (11), (27) are inconsistent by sub-proof #125.
% 73.99/11.09 | | | |
% 73.99/11.09 | | | Case 2:
% 73.99/11.09 | | | |
% 73.99/11.09 | | | | (28) unit = e3 | unit = e0
% 73.99/11.09 | | | |
% 73.99/11.09 | | | | BETA: splitting (28) gives:
% 73.99/11.09 | | | |
% 73.99/11.09 | | | | Case 1:
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | (29) unit = e3
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | REDUCE: (16), (29) imply:
% 73.99/11.09 | | | | | (30) op(e2, e3) = e2
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | GROUND_INST: instantiating (6) with e0, e2, e3, e2, simplifying with
% 73.99/11.09 | | | | | (5), (30) gives:
% 73.99/11.09 | | | | | (31) e2 = e0
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | REDUCE: (9), (31) imply:
% 73.99/11.09 | | | | | (32) $false
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | CLOSE: (32) is inconsistent.
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | Case 2:
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | (33) unit = e0
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | | REF_CLOSE: (6), (8), (16), (21), (33) are inconsistent by sub-proof
% 73.99/11.09 | | | | | #140.
% 73.99/11.09 | | | | |
% 73.99/11.09 | | | | End of split
% 73.99/11.09 | | | |
% 73.99/11.09 | | | End of split
% 73.99/11.09 | | |
% 73.99/11.09 | | End of split
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (34) all_6_2 = e3 | all_6_2 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (13), (14), (15), (34) are inconsistent by sub-proof #218.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #125 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) unit = e1
% 73.99/11.09 (2) op(e1, e2) = e0
% 73.99/11.09 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.09 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.09 (4) ~ (e2 = e0)
% 73.99/11.09 (5) op(unit, e2) = e2
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (1), (5) imply:
% 73.99/11.09 | (6) op(e1, e2) = e2
% 73.99/11.09 |
% 73.99/11.09 | GROUND_INST: instantiating (3) with e0, e2, e2, e1, simplifying with (2), (6)
% 73.99/11.09 | gives:
% 73.99/11.09 | (7) e2 = e0
% 73.99/11.09 |
% 73.99/11.09 | REDUCE: (4), (7) imply:
% 73.99/11.09 | (8) $false
% 73.99/11.09 |
% 73.99/11.09 | CLOSE: (8) is inconsistent.
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #126 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) ~ (e4 = e1)
% 73.99/11.09 (2) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4
% 73.99/11.09 (3) all_10_20 = all_4_4
% 73.99/11.09 (4) all_10_6 = e0
% 73.99/11.09 (5) all_10_12 = e1
% 73.99/11.09 (6) ~ (e4 = e0)
% 73.99/11.09 (7) ~ (all_4_4 = e4)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (2) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (8) all_10_6 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | COMBINE_EQS: (4), (8) imply:
% 73.99/11.09 | | (9) e4 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (6), (9) imply:
% 73.99/11.09 | | (10) $false
% 73.99/11.09 | |
% 73.99/11.09 | | CLOSE: (10) is inconsistent.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (11) all_10_12 = e4 | all_10_20 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (1), (3), (5), (7), (11) are inconsistent by sub-proof #127.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #127 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) ~ (e4 = e1)
% 73.99/11.09 (2) all_10_12 = e4 | all_10_20 = e4
% 73.99/11.09 (3) all_10_20 = all_4_4
% 73.99/11.09 (4) all_10_12 = e1
% 73.99/11.09 (5) ~ (all_4_4 = e4)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (2) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (6) all_10_12 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | COMBINE_EQS: (4), (6) imply:
% 73.99/11.09 | | (7) e4 = e1
% 73.99/11.09 | |
% 73.99/11.09 | | REDUCE: (1), (7) imply:
% 73.99/11.09 | | (8) $false
% 73.99/11.09 | |
% 73.99/11.09 | | CLOSE: (8) is inconsistent.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (9) all_10_20 = e4
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (3), (5), (9) are inconsistent by sub-proof #171.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #128 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) all_6_20 = all_4_4
% 73.99/11.09 (2) ~ (all_4_4 = e3)
% 73.99/11.09 (3) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.99/11.09 (4) ~ (all_4_4 = e1)
% 73.99/11.09 (5) ~ (all_4_4 = e0)
% 73.99/11.09
% 73.99/11.09 Begin of proof
% 73.99/11.09 |
% 73.99/11.09 | BETA: splitting (3) gives:
% 73.99/11.09 |
% 73.99/11.09 | Case 1:
% 73.99/11.09 | |
% 73.99/11.09 | | (6) all_6_20 = e1
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #166.
% 73.99/11.09 | |
% 73.99/11.09 | Case 2:
% 73.99/11.09 | |
% 73.99/11.09 | | (7) all_6_20 = e3 | all_6_20 = e0
% 73.99/11.09 | |
% 73.99/11.09 | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #163.
% 73.99/11.09 | |
% 73.99/11.09 | End of split
% 73.99/11.09 |
% 73.99/11.09 End of proof
% 73.99/11.09
% 73.99/11.09 Sub-proof #129 shows that the following formulas are inconsistent:
% 73.99/11.09 ----------------------------------------------------------------
% 73.99/11.09 (1) ~ (e2 = e1)
% 73.99/11.09 (2) op(unit, e0) = e0
% 73.99/11.09 (3) op(e3, unit) = e3
% 73.99/11.09 (4) op(e3, e3) = e1
% 73.99/11.09 (5) ~ (e1 = e0)
% 73.99/11.09 (6) unit = e3 | unit = e0
% 73.99/11.10 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.99/11.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.99/11.10 (8) op(e2, e0) = e1
% 73.99/11.10 (9) op(e2, unit) = e2
% 74.20/11.10 (10) op(e3, e0) = e3
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (6) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (11) unit = e3
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (2), (11) imply:
% 74.20/11.10 | | (12) op(e3, e0) = e0
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (3), (11) imply:
% 74.20/11.10 | | (13) op(e3, e3) = e3
% 74.20/11.10 | |
% 74.20/11.10 | | GROUND_INST: instantiating (7) with e3, e0, e0, e3, simplifying with (10),
% 74.20/11.10 | | (12) gives:
% 74.20/11.10 | | (14) e3 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | GROUND_INST: instantiating (7) with e1, e3, e3, e3, simplifying with (4),
% 74.20/11.10 | | (13) gives:
% 74.20/11.10 | | (15) e3 = e1
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (5), (14), (15) are inconsistent by sub-proof #250.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (16) unit = e0
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (9), (16) imply:
% 74.20/11.10 | | (17) op(e2, e0) = e2
% 74.20/11.10 | |
% 74.20/11.10 | | GROUND_INST: instantiating (7) with e1, e2, e0, e2, simplifying with (8),
% 74.20/11.10 | | (17) gives:
% 74.20/11.10 | | (18) e2 = e1
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (1), (18) imply:
% 74.20/11.10 | | (19) $false
% 74.20/11.10 | |
% 74.20/11.10 | | CLOSE: (19) is inconsistent.
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #130 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_10_2 = e4
% 74.20/11.10 (2) all_10_2 = e3
% 74.20/11.10 (3) ~ (e4 = e3)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (4) e4 = e3
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (4) implies:
% 74.20/11.10 | (5) e4 = e3
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (3), (5) imply:
% 74.20/11.10 | (6) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (6) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #131 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) ~ (all_4_14 = e0)
% 74.20/11.10 (2) all_6_22 = all_4_14
% 74.20/11.10 (3) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.20/11.10 (4) ~ (all_4_14 = e4)
% 74.20/11.10 (5) ~ (all_4_14 = e3)
% 74.20/11.10 (6) ~ (all_4_10 = all_4_14)
% 74.20/11.10 (7) all_6_2 = all_4_10
% 74.20/11.10 (8) ~ (all_4_10 = e3)
% 74.20/11.10 (9) ~ (all_4_10 = e4)
% 74.20/11.10 (10) ~ (all_4_10 = e0)
% 74.20/11.10 (11) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (3) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (12) all_6_2 = e4
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (7), (9), (12) are inconsistent by sub-proof #255.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (13) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (13) are
% 74.20/11.10 | | inconsistent by sub-proof #167.
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #132 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.20/11.10 (2) ~ (all_4_21 = e4)
% 74.20/11.10 (3) ~ (all_4_20 = e4)
% 74.20/11.10 (4) all_6_4 = all_4_20
% 74.20/11.10 (5) all_6_9 = all_4_21
% 74.20/11.10 (6) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.20/11.10 (7) ~ (all_4_21 = e1)
% 74.20/11.10 (8) ~ (all_4_21 = e0)
% 74.20/11.10 (9) ~ (all_4_20 = e1)
% 74.20/11.10 (10) ~ (all_4_20 = all_4_21)
% 74.20/11.10 (11) ~ (all_4_20 = e0)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (6) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (12) all_6_4 = e4
% 74.20/11.10 | |
% 74.20/11.10 | | COMBINE_EQS: (4), (12) imply:
% 74.20/11.10 | | (13) all_4_20 = e4
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (3), (13) imply:
% 74.20/11.10 | | (14) $false
% 74.20/11.10 | |
% 74.20/11.10 | | CLOSE: (14) is inconsistent.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (15) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | BETA: splitting (1) gives:
% 74.20/11.10 | |
% 74.20/11.10 | | Case 1:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (16) all_6_9 = e4
% 74.20/11.10 | | |
% 74.20/11.10 | | | REF_CLOSE: (2), (5), (16) are inconsistent by sub-proof #222.
% 74.20/11.10 | | |
% 74.20/11.10 | | Case 2:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (17) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.20/11.10 | | |
% 74.20/11.10 | | | BETA: splitting (17) gives:
% 74.20/11.10 | | |
% 74.20/11.10 | | | Case 1:
% 74.20/11.10 | | | |
% 74.20/11.10 | | | | (18) all_6_9 = e1
% 74.20/11.10 | | | |
% 74.20/11.10 | | | | REF_CLOSE: (5), (7), (18) are inconsistent by sub-proof #221.
% 74.20/11.10 | | | |
% 74.20/11.10 | | | Case 2:
% 74.20/11.10 | | | |
% 74.20/11.10 | | | | (19) all_6_9 = e3 | all_6_9 = e0
% 74.20/11.10 | | | |
% 74.20/11.10 | | | | BETA: splitting (19) gives:
% 74.20/11.10 | | | |
% 74.20/11.10 | | | | Case 1:
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | (20) all_6_9 = e3
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | COMBINE_EQS: (5), (20) imply:
% 74.20/11.10 | | | | | (21) all_4_21 = e3
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | SIMP: (21) implies:
% 74.20/11.10 | | | | | (22) all_4_21 = e3
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | REDUCE: (10), (22) imply:
% 74.20/11.10 | | | | | (23) ~ (all_4_20 = e3)
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | REF_CLOSE: (4), (9), (11), (15), (23) are inconsistent by sub-proof
% 74.20/11.10 | | | | | #134.
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | Case 2:
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | (24) all_6_9 = e0
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | | REF_CLOSE: (5), (8), (24) are inconsistent by sub-proof #220.
% 74.20/11.10 | | | | |
% 74.20/11.10 | | | | End of split
% 74.20/11.10 | | | |
% 74.20/11.10 | | | End of split
% 74.20/11.10 | | |
% 74.20/11.10 | | End of split
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #133 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) ~ (all_4_20 = e3)
% 74.20/11.10 (2) ~ (all_4_20 = e4)
% 74.20/11.10 (3) all_6_4 = all_4_20
% 74.20/11.10 (4) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.20/11.10 (5) ~ (all_4_20 = e1)
% 74.20/11.10 (6) ~ (all_4_20 = e0)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (4) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (7) all_6_4 = e4
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #138.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (8) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #134.
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #134 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) ~ (all_4_20 = e3)
% 74.20/11.10 (2) all_6_4 = all_4_20
% 74.20/11.10 (3) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 74.20/11.10 (4) ~ (all_4_20 = e1)
% 74.20/11.10 (5) ~ (all_4_20 = e0)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (3) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (6) all_6_4 = e1
% 74.20/11.10 | |
% 74.20/11.10 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #137.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (7) all_6_4 = e3 | all_6_4 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | BETA: splitting (7) gives:
% 74.20/11.10 | |
% 74.20/11.10 | | Case 1:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (8) all_6_4 = e3
% 74.20/11.10 | | |
% 74.20/11.10 | | | REF_CLOSE: (1), (2), (8) are inconsistent by sub-proof #136.
% 74.20/11.10 | | |
% 74.20/11.10 | | Case 2:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (9) all_6_4 = e0
% 74.20/11.10 | | |
% 74.20/11.10 | | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #135.
% 74.20/11.10 | | |
% 74.20/11.10 | | End of split
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #135 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_6_4 = all_4_20
% 74.20/11.10 (2) all_6_4 = e0
% 74.20/11.10 (3) ~ (all_4_20 = e0)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (4) all_4_20 = e0
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (4) implies:
% 74.20/11.10 | (5) all_4_20 = e0
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (3), (5) imply:
% 74.20/11.10 | (6) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (6) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #136 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_6_4 = all_4_20
% 74.20/11.10 (2) all_6_4 = e3
% 74.20/11.10 (3) ~ (all_4_20 = e3)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (4) all_4_20 = e3
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (4) implies:
% 74.20/11.10 | (5) all_4_20 = e3
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (3), (5) imply:
% 74.20/11.10 | (6) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (6) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #137 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_6_4 = all_4_20
% 74.20/11.10 (2) all_6_4 = e1
% 74.20/11.10 (3) ~ (all_4_20 = e1)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (4) all_4_20 = e1
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (4) implies:
% 74.20/11.10 | (5) all_4_20 = e1
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (3), (5) imply:
% 74.20/11.10 | (6) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (6) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #138 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) all_6_4 = all_4_20
% 74.20/11.10 (2) all_6_4 = e4
% 74.20/11.10 (3) ~ (all_4_20 = e4)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (4) all_4_20 = e4
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (4) implies:
% 74.20/11.10 | (5) all_4_20 = e4
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (3), (5) imply:
% 74.20/11.10 | (6) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (6) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #139 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) op(e3, e4) = e3
% 74.20/11.10 (2) ~ (e2 = e1)
% 74.20/11.10 (3) op(e1, e2) = e0
% 74.20/11.10 (4) op(e3, unit) = e3
% 74.20/11.10 (5) op(e4, e3) = e0
% 74.20/11.10 (6) op(e3, e3) = e1
% 74.20/11.10 (7) ~ (e1 = e0)
% 74.20/11.10 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.10 (9) op(e2, e0) = e1
% 74.20/11.10 (10) ~ (e2 = e0)
% 74.20/11.10 (11) op(unit, e2) = e2
% 74.20/11.10 (12) op(e4, unit) = e4
% 74.20/11.10 (13) op(unit, e4) = e4
% 74.20/11.10 (14) unit = e3 | unit = e1 | unit = e0
% 74.20/11.10 (15) op(e2, unit) = e2
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | BETA: splitting (14) gives:
% 74.20/11.10 |
% 74.20/11.10 | Case 1:
% 74.20/11.10 | |
% 74.20/11.10 | | (16) unit = e1
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (11), (16) imply:
% 74.20/11.10 | | (17) op(e1, e2) = e2
% 74.20/11.10 | |
% 74.20/11.10 | | GROUND_INST: instantiating (8) with e0, e2, e2, e1, simplifying with (3),
% 74.20/11.10 | | (17) gives:
% 74.20/11.10 | | (18) e2 = e0
% 74.20/11.10 | |
% 74.20/11.10 | | REDUCE: (10), (18) imply:
% 74.20/11.10 | | (19) $false
% 74.20/11.10 | |
% 74.20/11.10 | | CLOSE: (19) is inconsistent.
% 74.20/11.10 | |
% 74.20/11.10 | Case 2:
% 74.20/11.10 | |
% 74.20/11.10 | | (20) unit = e3 | unit = e0
% 74.20/11.10 | |
% 74.20/11.10 | | BETA: splitting (20) gives:
% 74.20/11.10 | |
% 74.20/11.10 | | Case 1:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (21) unit = e3
% 74.20/11.10 | | |
% 74.20/11.10 | | | REDUCE: (13), (21) imply:
% 74.20/11.10 | | | (22) op(e3, e4) = e4
% 74.20/11.10 | | |
% 74.20/11.10 | | | REDUCE: (12), (21) imply:
% 74.20/11.10 | | | (23) op(e4, e3) = e4
% 74.20/11.10 | | |
% 74.20/11.10 | | | REDUCE: (4), (21) imply:
% 74.20/11.10 | | | (24) op(e3, e3) = e3
% 74.20/11.10 | | |
% 74.20/11.10 | | | GROUND_INST: instantiating (8) with e1, e3, e3, e3, simplifying with (6),
% 74.20/11.10 | | | (24) gives:
% 74.20/11.10 | | | (25) e3 = e1
% 74.20/11.10 | | |
% 74.20/11.10 | | | GROUND_INST: instantiating (8) with e3, e4, e4, e3, simplifying with (1),
% 74.20/11.10 | | | (22) gives:
% 74.20/11.10 | | | (26) e4 = e3
% 74.20/11.10 | | |
% 74.20/11.10 | | | GROUND_INST: instantiating (8) with e0, e4, e3, e4, simplifying with (5),
% 74.20/11.10 | | | (23) gives:
% 74.20/11.10 | | | (27) e4 = e0
% 74.20/11.10 | | |
% 74.20/11.10 | | | REF_CLOSE: (7), (25), (26), (27) are inconsistent by sub-proof #141.
% 74.20/11.10 | | |
% 74.20/11.10 | | Case 2:
% 74.20/11.10 | | |
% 74.20/11.10 | | | (28) unit = e0
% 74.20/11.10 | | |
% 74.20/11.10 | | | REF_CLOSE: (2), (8), (9), (15), (28) are inconsistent by sub-proof #140.
% 74.20/11.10 | | |
% 74.20/11.10 | | End of split
% 74.20/11.10 | |
% 74.20/11.10 | End of split
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #140 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) ~ (e2 = e1)
% 74.20/11.10 (2) unit = e0
% 74.20/11.10 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.10 (4) op(e2, e0) = e1
% 74.20/11.10 (5) op(e2, unit) = e2
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (2), (5) imply:
% 74.20/11.10 | (6) op(e2, e0) = e2
% 74.20/11.10 |
% 74.20/11.10 | GROUND_INST: instantiating (3) with e1, e2, e0, e2, simplifying with (4), (6)
% 74.20/11.10 | gives:
% 74.20/11.10 | (7) e2 = e1
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (1), (7) imply:
% 74.20/11.10 | (8) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (8) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #141 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) e4 = e3
% 74.20/11.10 (2) e4 = e0
% 74.20/11.10 (3) e3 = e1
% 74.20/11.10 (4) ~ (e1 = e0)
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.10 | (5) e3 = e0
% 74.20/11.10 |
% 74.20/11.10 | SIMP: (5) implies:
% 74.20/11.10 | (6) e3 = e0
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (3), (6) imply:
% 74.20/11.10 | (7) e1 = e0
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (4), (7) imply:
% 74.20/11.10 | (8) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (8) is inconsistent.
% 74.20/11.10 |
% 74.20/11.10 End of proof
% 74.20/11.10
% 74.20/11.10 Sub-proof #142 shows that the following formulas are inconsistent:
% 74.20/11.10 ----------------------------------------------------------------
% 74.20/11.10 (1) op(e0, e4) = e0
% 74.20/11.10 (2) op(e4, e4) = e4
% 74.20/11.10 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.10 (4) ~ (e2 = e0)
% 74.20/11.10 (5) op(e0, e4) = e4
% 74.20/11.10 (6) op(e4, e4) = e2
% 74.20/11.10
% 74.20/11.10 Begin of proof
% 74.20/11.10 |
% 74.20/11.10 | GROUND_INST: instantiating (3) with e4, e0, e4, e0, simplifying with (1), (5)
% 74.20/11.10 | gives:
% 74.20/11.10 | (7) e4 = e0
% 74.20/11.10 |
% 74.20/11.10 | GROUND_INST: instantiating (3) with e2, e4, e4, e4, simplifying with (2), (6)
% 74.20/11.10 | gives:
% 74.20/11.10 | (8) e4 = e2
% 74.20/11.10 |
% 74.20/11.10 | COMBINE_EQS: (7), (8) imply:
% 74.20/11.10 | (9) e2 = e0
% 74.20/11.10 |
% 74.20/11.10 | REDUCE: (4), (9) imply:
% 74.20/11.10 | (10) $false
% 74.20/11.10 |
% 74.20/11.10 | CLOSE: (10) is inconsistent.
% 74.20/11.10 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #143 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_16 = all_4_20
% 74.20/11.11 (2) all_10_16 = e4
% 74.20/11.11 (3) ~ (all_4_20 = e4)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_20 = e4
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_20 = e4
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #144 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_2 = all_4_1
% 74.20/11.11 (2) all_10_2 = e0
% 74.20/11.11 (3) ~ (all_4_1 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_1 = e0
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_1 = e0
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #145 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) op(e1, e2) = e0
% 74.20/11.11 (2) unit = e2
% 74.20/11.11 (3) op(e1, unit) = e1
% 74.20/11.11 (4) ~ (e1 = e0)
% 74.20/11.11 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (2), (3) imply:
% 74.20/11.11 | (6) op(e1, e2) = e1
% 74.20/11.11 |
% 74.20/11.11 | GROUND_INST: instantiating (5) with e0, e1, e2, e1, simplifying with (1), (6)
% 74.20/11.11 | gives:
% 74.20/11.11 | (7) e1 = e0
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (4), (7) imply:
% 74.20/11.11 | (8) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (8) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #146 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_11 = e2
% 74.20/11.11 (2) all_10_11 = e1
% 74.20/11.11 (3) ~ (e2 = e1)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) e2 = e1
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) e2 = e1
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #147 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_6 = all_4_2
% 74.20/11.11 (2) all_10_6 = e2
% 74.20/11.11 (3) ~ (all_4_2 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_2 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_2 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #148 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_14 = all_4_22
% 74.20/11.11 (2) all_6_14 = e2
% 74.20/11.11 (3) ~ (all_4_22 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_22 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_22 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #149 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_9 = all_4_21
% 74.20/11.11 (2) all_6_9 = e2
% 74.20/11.11 (3) ~ (all_4_21 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_21 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_21 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #150 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_13 = all_4_8
% 74.20/11.11 (2) all_10_13 = e2
% 74.20/11.11 (3) ~ (all_4_8 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_8 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_8 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #151 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_12 = all_4_3
% 74.20/11.11 (2) all_10_12 = e2
% 74.20/11.11 (3) ~ (all_4_3 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_3 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_3 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #152 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_19 = all_4_23
% 74.20/11.11 (2) all_10_19 = e2
% 74.20/11.11 (3) ~ (all_4_23 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_23 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_23 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #153 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_19 = all_4_23
% 74.20/11.11 (2) all_10_24 = e0
% 74.20/11.11 (3) all_10_19 = e4 | all_10_24 = e4
% 74.20/11.11 (4) ~ (e4 = e0)
% 74.20/11.11 (5) ~ (all_4_23 = e4)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (3) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (6) all_10_19 = e4
% 74.20/11.11 | |
% 74.20/11.11 | | COMBINE_EQS: (1), (6) imply:
% 74.20/11.11 | | (7) all_4_23 = e4
% 74.20/11.11 | |
% 74.20/11.11 | | REDUCE: (5), (7) imply:
% 74.20/11.11 | | (8) $false
% 74.20/11.11 | |
% 74.20/11.11 | | CLOSE: (8) is inconsistent.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (9) all_10_24 = e4
% 74.20/11.11 | |
% 74.20/11.11 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.11 | | (10) e4 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REDUCE: (4), (10) imply:
% 74.20/11.11 | | (11) $false
% 74.20/11.11 | |
% 74.20/11.11 | | CLOSE: (11) is inconsistent.
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #154 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_18 = e4
% 74.20/11.11 (2) all_10_18 = e2
% 74.20/11.11 (3) ~ (e4 = e2)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) e4 = e2
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) e4 = e2
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #155 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_21 = e3 | all_6_21 = e0
% 74.20/11.11 (2) all_6_21 = all_4_9
% 74.20/11.11 (3) ~ (all_4_9 = e3)
% 74.20/11.11 (4) ~ (all_4_9 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (1) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (5) all_6_21 = e3
% 74.20/11.11 | |
% 74.20/11.11 | | COMBINE_EQS: (2), (5) imply:
% 74.20/11.11 | | (6) all_4_9 = e3
% 74.20/11.11 | |
% 74.20/11.11 | | SIMP: (6) implies:
% 74.20/11.11 | | (7) all_4_9 = e3
% 74.20/11.11 | |
% 74.20/11.11 | | REDUCE: (3), (7) imply:
% 74.20/11.11 | | (8) $false
% 74.20/11.11 | |
% 74.20/11.11 | | CLOSE: (8) is inconsistent.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (9) all_6_21 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #156.
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #156 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_21 = all_4_9
% 74.20/11.11 (2) all_6_21 = e0
% 74.20/11.11 (3) ~ (all_4_9 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_9 = e0
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_9 = e0
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #157 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_21 = all_4_9
% 74.20/11.11 (2) all_6_21 = e1
% 74.20/11.11 (3) ~ (all_4_9 = e1)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_9 = e1
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_9 = e1
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #158 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) ~ (all_4_5 = all_4_7)
% 74.20/11.11 (2) ~ (all_4_5 = e1)
% 74.20/11.11 (3) ~ (all_4_7 = e4)
% 74.20/11.11 (4) ~ (all_4_7 = e1)
% 74.20/11.11 (5) ~ (all_4_5 = e4)
% 74.20/11.11 (6) ~ (all_4_7 = e3)
% 74.20/11.11 (7) all_6_11 = all_4_7
% 74.20/11.11 (8) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.20/11.11 (9) all_6_1 = all_4_5
% 74.20/11.11 (10) ~ (all_4_5 = e3)
% 74.20/11.11 (11) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (11) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (12) all_6_1 = e4
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (5), (9), (12) are inconsistent by sub-proof #251.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (13) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (13) are
% 74.20/11.11 | | inconsistent by sub-proof #230.
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #159 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_13 = e2
% 74.20/11.11 (2) all_10_13 = e0
% 74.20/11.11 (3) ~ (e2 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) e2 = e0
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) e2 = e0
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #160 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_11 = all_4_17
% 74.20/11.11 (2) ~ (all_4_17 = e0)
% 74.20/11.11 (3) all_10_23 = e2
% 74.20/11.11 (4) all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.20/11.11 (5) all_10_15 = e4
% 74.20/11.11 (6) all_10_10 = e3
% 74.20/11.11 (7) ~ (e2 = e0)
% 74.20/11.11 (8) ~ (e3 = e0)
% 74.20/11.11 (9) ~ (e4 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (4) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (10) all_10_10 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (6), (8), (10) are inconsistent by sub-proof #229.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (11) all_10_11 = e0 | all_10_15 = e0 | all_10_23 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | BETA: splitting (11) gives:
% 74.20/11.11 | |
% 74.20/11.11 | | Case 1:
% 74.20/11.11 | | |
% 74.20/11.11 | | | (12) all_10_11 = e0
% 74.20/11.11 | | |
% 74.20/11.11 | | | REF_CLOSE: (1), (2), (12) are inconsistent by sub-proof #161.
% 74.20/11.11 | | |
% 74.20/11.11 | | Case 2:
% 74.20/11.11 | | |
% 74.20/11.11 | | | (13) all_10_15 = e0 | all_10_23 = e0
% 74.20/11.11 | | |
% 74.20/11.11 | | | REF_CLOSE: (3), (5), (7), (9), (13) are inconsistent by sub-proof #176.
% 74.20/11.11 | | |
% 74.20/11.11 | | End of split
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #161 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_10_11 = all_4_17
% 74.20/11.11 (2) all_10_11 = e0
% 74.20/11.11 (3) ~ (all_4_17 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.11 | (4) all_4_17 = e0
% 74.20/11.11 |
% 74.20/11.11 | SIMP: (4) implies:
% 74.20/11.11 | (5) all_4_17 = e0
% 74.20/11.11 |
% 74.20/11.11 | REDUCE: (3), (5) imply:
% 74.20/11.11 | (6) $false
% 74.20/11.11 |
% 74.20/11.11 | CLOSE: (6) is inconsistent.
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #162 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_20 = all_4_4
% 74.20/11.11 (2) ~ (all_4_4 = e3)
% 74.20/11.11 (3) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 74.20/11.11 (4) ~ (all_4_4 = e1)
% 74.20/11.11 (5) ~ (all_4_4 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (3) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (6) all_6_20 = e1
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #166.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (7) all_6_20 = e3 | all_6_20 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #163.
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #163 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_20 = e3 | all_6_20 = e0
% 74.20/11.11 (2) all_6_20 = all_4_4
% 74.20/11.11 (3) ~ (all_4_4 = e3)
% 74.20/11.11 (4) ~ (all_4_4 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | BETA: splitting (1) gives:
% 74.20/11.11 |
% 74.20/11.11 | Case 1:
% 74.20/11.11 | |
% 74.20/11.11 | | (5) all_6_20 = e3
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #165.
% 74.20/11.11 | |
% 74.20/11.11 | Case 2:
% 74.20/11.11 | |
% 74.20/11.11 | | (6) all_6_20 = e0
% 74.20/11.11 | |
% 74.20/11.11 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #164.
% 74.20/11.11 | |
% 74.20/11.11 | End of split
% 74.20/11.11 |
% 74.20/11.11 End of proof
% 74.20/11.11
% 74.20/11.11 Sub-proof #164 shows that the following formulas are inconsistent:
% 74.20/11.11 ----------------------------------------------------------------
% 74.20/11.11 (1) all_6_20 = all_4_4
% 74.20/11.11 (2) all_6_20 = e0
% 74.20/11.11 (3) ~ (all_4_4 = e0)
% 74.20/11.11
% 74.20/11.11 Begin of proof
% 74.20/11.11 |
% 74.20/11.11 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_4 = e0
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_4 = e0
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #165 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_20 = all_4_4
% 74.20/11.12 (2) all_6_20 = e3
% 74.20/11.12 (3) ~ (all_4_4 = e3)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_4 = e3
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_4 = e3
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #166 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_20 = all_4_4
% 74.20/11.12 (2) all_6_20 = e1
% 74.20/11.12 (3) ~ (all_4_4 = e1)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_4 = e1
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_4 = e1
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #167 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.20/11.12 (2) ~ (all_4_14 = e0)
% 74.20/11.12 (3) all_6_22 = all_4_14
% 74.20/11.12 (4) ~ (all_4_14 = e4)
% 74.20/11.12 (5) ~ (all_4_14 = e3)
% 74.20/11.12 (6) ~ (all_4_10 = all_4_14)
% 74.20/11.12 (7) all_6_2 = all_4_10
% 74.20/11.12 (8) ~ (all_4_10 = e3)
% 74.20/11.12 (9) ~ (all_4_10 = e0)
% 74.20/11.12 (10) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | BETA: splitting (10) gives:
% 74.20/11.12 |
% 74.20/11.12 | Case 1:
% 74.20/11.12 | |
% 74.20/11.12 | | (11) all_6_22 = e4
% 74.20/11.12 | |
% 74.20/11.12 | | COMBINE_EQS: (3), (11) imply:
% 74.20/11.12 | | (12) all_4_14 = e4
% 74.20/11.12 | |
% 74.20/11.12 | | REDUCE: (4), (12) imply:
% 74.20/11.12 | | (13) $false
% 74.20/11.12 | |
% 74.20/11.12 | | CLOSE: (13) is inconsistent.
% 74.20/11.12 | |
% 74.20/11.12 | Case 2:
% 74.20/11.12 | |
% 74.20/11.12 | | (14) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (14) are inconsistent by
% 74.20/11.12 | | sub-proof #215.
% 74.20/11.12 | |
% 74.20/11.12 | End of split
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #168 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) unit = e3
% 74.20/11.12 (2) op(e1, e3) = e2
% 74.20/11.12 (3) op(e1, unit) = e1
% 74.20/11.12 (4) ~ (e1 = e0)
% 74.20/11.12 (5) op(e2, e3) = e0
% 74.20/11.12 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.12 (7) op(e2, unit) = e2
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (1), (7) imply:
% 74.20/11.12 | (8) op(e2, e3) = e2
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (1), (3) imply:
% 74.20/11.12 | (9) op(e1, e3) = e1
% 74.20/11.12 |
% 74.20/11.12 | REF_CLOSE: (2), (4), (5), (6), (8), (9) are inconsistent by sub-proof #209.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #169 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) ~ (e1 = e0)
% 74.20/11.12 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.12 (3) op(e4, e1) = e0
% 74.20/11.12 (4) op(unit, e1) = e1
% 74.20/11.12 (5) unit = e4
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (4), (5) imply:
% 74.20/11.12 | (6) op(e4, e1) = e1
% 74.20/11.12 |
% 74.20/11.12 | GROUND_INST: instantiating (2) with e0, e1, e1, e4, simplifying with (3), (6)
% 74.20/11.12 | gives:
% 74.20/11.12 | (7) e1 = e0
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (1), (7) imply:
% 74.20/11.12 | (8) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (8) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #170 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_10_10 = e3
% 74.20/11.12 (2) all_10_10 = e1
% 74.20/11.12 (3) ~ (e3 = e1)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) e3 = e1
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) e3 = e1
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #171 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_10_20 = all_4_4
% 74.20/11.12 (2) all_10_20 = e4
% 74.20/11.12 (3) ~ (all_4_4 = e4)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_4 = e4
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_4 = e4
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #172 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_3 = e3 | all_6_3 = e0
% 74.20/11.12 (2) all_6_3 = all_4_15
% 74.20/11.12 (3) ~ (all_4_15 = e3)
% 74.20/11.12 (4) ~ (all_4_15 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | BETA: splitting (1) gives:
% 74.20/11.12 |
% 74.20/11.12 | Case 1:
% 74.20/11.12 | |
% 74.20/11.12 | | (5) all_6_3 = e3
% 74.20/11.12 | |
% 74.20/11.12 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #194.
% 74.20/11.12 | |
% 74.20/11.12 | Case 2:
% 74.20/11.12 | |
% 74.20/11.12 | | (6) all_6_3 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #173.
% 74.20/11.12 | |
% 74.20/11.12 | End of split
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #173 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_3 = all_4_15
% 74.20/11.12 (2) all_6_3 = e0
% 74.20/11.12 (3) ~ (all_4_15 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_15 = e0
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_15 = e0
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #174 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_10_11 = e1
% 74.20/11.12 (2) all_10_11 = e0
% 74.20/11.12 (3) ~ (e1 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) e1 = e0
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) e1 = e0
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #175 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) ~ (e4 = e2)
% 74.20/11.12 (2) all_10_24 = e0
% 74.20/11.12 (3) all_10_23 = e2
% 74.20/11.12 (4) all_10_23 = e4 | all_10_24 = e4
% 74.20/11.12 (5) ~ (e4 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | BETA: splitting (4) gives:
% 74.20/11.12 |
% 74.20/11.12 | Case 1:
% 74.20/11.12 | |
% 74.20/11.12 | | (6) all_10_23 = e4
% 74.20/11.12 | |
% 74.20/11.12 | | COMBINE_EQS: (3), (6) imply:
% 74.20/11.12 | | (7) e4 = e2
% 74.20/11.12 | |
% 74.20/11.12 | | REDUCE: (1), (7) imply:
% 74.20/11.12 | | (8) $false
% 74.20/11.12 | |
% 74.20/11.12 | | CLOSE: (8) is inconsistent.
% 74.20/11.12 | |
% 74.20/11.12 | Case 2:
% 74.20/11.12 | |
% 74.20/11.12 | | (9) all_10_24 = e4
% 74.20/11.12 | |
% 74.20/11.12 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.12 | | (10) e4 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | REDUCE: (5), (10) imply:
% 74.20/11.12 | | (11) $false
% 74.20/11.12 | |
% 74.20/11.12 | | CLOSE: (11) is inconsistent.
% 74.20/11.12 | |
% 74.20/11.12 | End of split
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #176 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_10_23 = e2
% 74.20/11.12 (2) all_10_15 = e0 | all_10_23 = e0
% 74.20/11.12 (3) all_10_15 = e4
% 74.20/11.12 (4) ~ (e2 = e0)
% 74.20/11.12 (5) ~ (e4 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | BETA: splitting (2) gives:
% 74.20/11.12 |
% 74.20/11.12 | Case 1:
% 74.20/11.12 | |
% 74.20/11.12 | | (6) all_10_15 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #177.
% 74.20/11.12 | |
% 74.20/11.12 | Case 2:
% 74.20/11.12 | |
% 74.20/11.12 | | (7) all_10_23 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | COMBINE_EQS: (1), (7) imply:
% 74.20/11.12 | | (8) e2 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | SIMP: (8) implies:
% 74.20/11.12 | | (9) e2 = e0
% 74.20/11.12 | |
% 74.20/11.12 | | REDUCE: (4), (9) imply:
% 74.20/11.12 | | (10) $false
% 74.20/11.12 | |
% 74.20/11.12 | | CLOSE: (10) is inconsistent.
% 74.20/11.12 | |
% 74.20/11.12 | End of split
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #177 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_10_15 = e4
% 74.20/11.12 (2) all_10_15 = e0
% 74.20/11.12 (3) ~ (e4 = e0)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) e4 = e0
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) e4 = e0
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #178 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) op(e2, e4) = e2
% 74.20/11.12 (2) op(e0, e4) = e0
% 74.20/11.12 (3) op(e2, e4) = e1
% 74.20/11.12 (4) op(e4, e4) = e4
% 74.20/11.12 (5) ~ (e1 = e0)
% 74.20/11.12 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.12 (7) op(e0, e4) = e4
% 74.20/11.12 (8) op(e4, e4) = e2
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | GROUND_INST: instantiating (6) with e4, e0, e4, e0, simplifying with (2), (7)
% 74.20/11.12 | gives:
% 74.20/11.12 | (9) e4 = e0
% 74.20/11.12 |
% 74.20/11.12 | GROUND_INST: instantiating (6) with e1, e2, e4, e2, simplifying with (1), (3)
% 74.20/11.12 | gives:
% 74.20/11.12 | (10) e2 = e1
% 74.20/11.12 |
% 74.20/11.12 | GROUND_INST: instantiating (6) with e2, e4, e4, e4, simplifying with (4), (8)
% 74.20/11.12 | gives:
% 74.20/11.12 | (11) e4 = e2
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (9), (11) imply:
% 74.20/11.12 | (12) e2 = e0
% 74.20/11.12 |
% 74.20/11.12 | REF_CLOSE: (5), (10), (12) are inconsistent by sub-proof #248.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #179 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_22 = all_4_14
% 74.20/11.12 (2) all_6_22 = e4
% 74.20/11.12 (3) ~ (all_4_14 = e4)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_14 = e4
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_14 = e4
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #180 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_5 = all_4_1
% 74.20/11.12 (2) all_6_5 = e3
% 74.20/11.12 (3) ~ (all_4_1 = e3)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_1 = e3
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_1 = e3
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #181 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_5 = all_4_1
% 74.20/11.12 (2) all_6_5 = e1
% 74.20/11.12 (3) ~ (all_4_1 = e1)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_1 = e1
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_1 = e1
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #182 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.12 (1) all_6_5 = all_4_1
% 74.20/11.12 (2) all_6_5 = e4
% 74.20/11.12 (3) ~ (all_4_1 = e4)
% 74.20/11.12
% 74.20/11.12 Begin of proof
% 74.20/11.12 |
% 74.20/11.12 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.12 | (4) all_4_1 = e4
% 74.20/11.12 |
% 74.20/11.12 | SIMP: (4) implies:
% 74.20/11.12 | (5) all_4_1 = e4
% 74.20/11.12 |
% 74.20/11.12 | REDUCE: (3), (5) imply:
% 74.20/11.12 | (6) $false
% 74.20/11.12 |
% 74.20/11.12 | CLOSE: (6) is inconsistent.
% 74.20/11.12 |
% 74.20/11.12 End of proof
% 74.20/11.12
% 74.20/11.12 Sub-proof #183 shows that the following formulas are inconsistent:
% 74.20/11.12 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_13 = e2
% 74.20/11.13 (2) all_10_13 = e1
% 74.20/11.13 (3) ~ (e2 = e1)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e2 = e1
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e2 = e1
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #184 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_19 = all_4_23
% 74.20/11.13 (2) all_10_24 = e0
% 74.20/11.13 (3) ~ (all_4_23 = e1)
% 74.20/11.13 (4) ~ (e1 = e0)
% 74.20/11.13 (5) all_10_19 = e1 | all_10_24 = e1
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (5) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (6) all_10_19 = e1
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (1), (6) imply:
% 74.20/11.13 | | (7) all_4_23 = e1
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (3), (7) imply:
% 74.20/11.13 | | (8) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (8) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (9) all_10_24 = e1
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.13 | | (10) e1 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (4), (10) imply:
% 74.20/11.13 | | (11) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (11) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #185 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_2 = e3
% 74.20/11.13 (2) all_10_2 = e0
% 74.20/11.13 (3) ~ (e3 = e0)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e3 = e0
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e3 = e0
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #186 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e3 = e1)
% 74.20/11.13 (2) all_10_6 = all_4_2
% 74.20/11.13 (3) ~ (all_4_2 = e3)
% 74.20/11.13 (4) all_10_12 = e1
% 74.20/11.13 (5) all_10_6 = e3 | all_10_12 = e3 | all_10_20 = e3
% 74.20/11.13 (6) all_10_20 = e4
% 74.20/11.13 (7) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (5) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (8) all_10_6 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #188.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (9) all_10_12 = e3 | all_10_20 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (1), (4), (6), (7), (9) are inconsistent by sub-proof #187.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #187 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e3 = e1)
% 74.20/11.13 (2) all_10_12 = e3 | all_10_20 = e3
% 74.20/11.13 (3) all_10_12 = e1
% 74.20/11.13 (4) all_10_20 = e4
% 74.20/11.13 (5) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (2) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (6) all_10_12 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (3), (6) imply:
% 74.20/11.13 | | (7) e3 = e1
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (1), (7) imply:
% 74.20/11.13 | | (8) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (8) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (9) all_10_20 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (4), (5), (9) are inconsistent by sub-proof #202.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #188 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_6 = all_4_2
% 74.20/11.13 (2) all_10_6 = e3
% 74.20/11.13 (3) ~ (all_4_2 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_2 = e3
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_2 = e3
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #189 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e3 = e1)
% 74.20/11.13 (2) all_10_4 = e4
% 74.20/11.13 (3) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.20/11.13 (4) all_6_3 = all_4_15
% 74.20/11.13 (5) all_10_9 = all_4_15
% 74.20/11.13 (6) all_6_3 = e0
% 74.20/11.13 (7) ~ (e3 = e0)
% 74.20/11.13 (8) all_10_16 = e1
% 74.20/11.13 (9) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (4), (6) imply:
% 74.20/11.13 | (10) all_4_15 = e0
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (10) implies:
% 74.20/11.13 | (11) all_4_15 = e0
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (5), (11) imply:
% 74.20/11.13 | (12) all_10_9 = e0
% 74.20/11.13 |
% 74.20/11.13 | REF_CLOSE: (1), (2), (3), (7), (8), (9), (12) are inconsistent by sub-proof
% 74.20/11.13 | #192.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #190 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e1 = e0)
% 74.20/11.13 (2) all_10_12 = e0 | all_10_20 = e0
% 74.20/11.13 (3) ~ (all_4_4 = e0)
% 74.20/11.13 (4) all_10_20 = all_4_4
% 74.20/11.13 (5) all_10_12 = e1
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (2) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (6) all_10_12 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (5), (6) imply:
% 74.20/11.13 | | (7) e1 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | SIMP: (7) implies:
% 74.20/11.13 | | (8) e1 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (1), (8) imply:
% 74.20/11.13 | | (9) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (9) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (10) all_10_20 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (4), (10) imply:
% 74.20/11.13 | | (11) all_4_4 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (3), (11) imply:
% 74.20/11.13 | | (12) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (12) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #191 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_6 = all_4_2
% 74.20/11.13 (2) all_10_6 = e0
% 74.20/11.13 (3) ~ (all_4_2 = e0)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_2 = e0
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_2 = e0
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #192 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e3 = e1)
% 74.20/11.13 (2) all_10_4 = e4
% 74.20/11.13 (3) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 74.20/11.13 (4) all_10_9 = e0
% 74.20/11.13 (5) ~ (e3 = e0)
% 74.20/11.13 (6) all_10_16 = e1
% 74.20/11.13 (7) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (3) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (8) all_10_4 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (2), (7), (8) are inconsistent by sub-proof #197.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (9) all_10_9 = e3 | all_10_16 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (1), (4), (5), (6), (9) are inconsistent by sub-proof #193.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #193 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e3 = e1)
% 74.20/11.13 (2) all_10_9 = e0
% 74.20/11.13 (3) ~ (e3 = e0)
% 74.20/11.13 (4) all_10_16 = e1
% 74.20/11.13 (5) all_10_9 = e3 | all_10_16 = e3
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (5) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (6) all_10_9 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (2), (6) imply:
% 74.20/11.13 | | (7) e3 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (3), (7) imply:
% 74.20/11.13 | | (8) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (8) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (9) all_10_16 = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #213.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #194 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_6_3 = all_4_15
% 74.20/11.13 (2) all_6_3 = e3
% 74.20/11.13 (3) ~ (all_4_15 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_15 = e3
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_15 = e3
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #195 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) op(e2, e3) = e4
% 74.20/11.13 (2) ~ (e2 = e1)
% 74.20/11.13 (3) op(e1, e3) = e2
% 74.20/11.13 (4) op(e4, e3) = e0
% 74.20/11.13 (5) op(e1, unit) = e1
% 74.20/11.13 (6) ~ (e1 = e0)
% 74.20/11.13 (7) unit = e3 | unit = e0
% 74.20/11.13 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.13 (9) op(e0, e2) = e1
% 74.20/11.13 (10) op(unit, e2) = e2
% 74.20/11.13 (11) op(e4, unit) = e4
% 74.20/11.13 (12) op(e2, unit) = e2
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (7) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (13) unit = e3
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (11), (13) imply:
% 74.20/11.13 | | (14) op(e4, e3) = e4
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (12), (13) imply:
% 74.20/11.13 | | (15) op(e2, e3) = e2
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (5), (13) imply:
% 74.20/11.13 | | (16) op(e1, e3) = e1
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (1), (3), (4), (6), (8), (14), (15), (16) are inconsistent by
% 74.20/11.13 | | sub-proof #247.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (17) unit = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (2), (8), (9), (10), (17) are inconsistent by sub-proof #196.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #196 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) ~ (e2 = e1)
% 74.20/11.13 (2) unit = e0
% 74.20/11.13 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.13 (4) op(e0, e2) = e1
% 74.20/11.13 (5) op(unit, e2) = e2
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (2), (5) imply:
% 74.20/11.13 | (6) op(e0, e2) = e2
% 74.20/11.13 |
% 74.20/11.13 | GROUND_INST: instantiating (3) with e1, e2, e2, e0, simplifying with (4), (6)
% 74.20/11.13 | gives:
% 74.20/11.13 | (7) e2 = e1
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (1), (7) imply:
% 74.20/11.13 | (8) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (8) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #197 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_4 = e4
% 74.20/11.13 (2) all_10_4 = e3
% 74.20/11.13 (3) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e4 = e3
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e4 = e3
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #198 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_1 = e3
% 74.20/11.13 (2) all_10_1 = e0
% 74.20/11.13 (3) ~ (e3 = e0)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e3 = e0
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e3 = e0
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #199 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_6_3 = all_4_15
% 74.20/11.13 (2) all_6_3 = e1
% 74.20/11.13 (3) ~ (all_4_15 = e1)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_15 = e1
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_15 = e1
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #200 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_6_3 = all_4_15
% 74.20/11.13 (2) all_6_3 = e4
% 74.20/11.13 (3) ~ (all_4_15 = e4)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_15 = e4
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_15 = e4
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #201 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_0 = e3
% 74.20/11.13 (2) all_10_0 = e2
% 74.20/11.13 (3) ~ (e3 = e2)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e3 = e2
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e3 = e2
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #202 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_20 = e4
% 74.20/11.13 (2) all_10_20 = e3
% 74.20/11.13 (3) ~ (e4 = e3)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e4 = e3
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e4 = e3
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #203 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_2 = all_4_1
% 74.20/11.13 (2) all_10_2 = e4
% 74.20/11.13 (3) ~ (all_4_1 = e4)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_1 = e4
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_1 = e4
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #204 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_0 = e4
% 74.20/11.13 (2) all_10_0 = e2
% 74.20/11.13 (3) ~ (e4 = e2)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) e4 = e2
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) e4 = e2
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #205 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_9 = all_4_15
% 74.20/11.13 (2) ~ (e1 = e0)
% 74.20/11.13 (3) ~ (all_4_15 = e0)
% 74.20/11.13 (4) all_10_9 = e0 | all_10_16 = e0
% 74.20/11.13 (5) all_10_16 = e1
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | BETA: splitting (4) gives:
% 74.20/11.13 |
% 74.20/11.13 | Case 1:
% 74.20/11.13 | |
% 74.20/11.13 | | (6) all_10_9 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #206.
% 74.20/11.13 | |
% 74.20/11.13 | Case 2:
% 74.20/11.13 | |
% 74.20/11.13 | | (7) all_10_16 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | COMBINE_EQS: (5), (7) imply:
% 74.20/11.13 | | (8) e1 = e0
% 74.20/11.13 | |
% 74.20/11.13 | | REDUCE: (2), (8) imply:
% 74.20/11.13 | | (9) $false
% 74.20/11.13 | |
% 74.20/11.13 | | CLOSE: (9) is inconsistent.
% 74.20/11.13 | |
% 74.20/11.13 | End of split
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #206 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_9 = all_4_15
% 74.20/11.13 (2) all_10_9 = e0
% 74.20/11.13 (3) ~ (all_4_15 = e0)
% 74.20/11.13
% 74.20/11.13 Begin of proof
% 74.20/11.13 |
% 74.20/11.13 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.13 | (4) all_4_15 = e0
% 74.20/11.13 |
% 74.20/11.13 | SIMP: (4) implies:
% 74.20/11.13 | (5) all_4_15 = e0
% 74.20/11.13 |
% 74.20/11.13 | REDUCE: (3), (5) imply:
% 74.20/11.13 | (6) $false
% 74.20/11.13 |
% 74.20/11.13 | CLOSE: (6) is inconsistent.
% 74.20/11.13 |
% 74.20/11.13 End of proof
% 74.20/11.13
% 74.20/11.13 Sub-proof #207 shows that the following formulas are inconsistent:
% 74.20/11.13 ----------------------------------------------------------------
% 74.20/11.13 (1) all_10_4 = e4
% 74.20/11.13 (2) all_10_4 = e0
% 74.20/11.14 (3) ~ (e4 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e4 = e0
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) e4 = e0
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #208 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) ~ (all_4_7 = e1)
% 74.20/11.14 (2) ~ (all_4_7 = e0)
% 74.20/11.14 (3) ~ (all_4_7 = e3)
% 74.20/11.14 (4) all_6_11 = all_4_7
% 74.20/11.14 (5) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (5) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (6) all_6_11 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #232.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (7) all_6_11 = e3 | all_6_11 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #231.
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #209 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) op(e1, e3) = e1
% 74.20/11.14 (2) op(e1, e3) = e2
% 74.20/11.14 (3) ~ (e1 = e0)
% 74.20/11.14 (4) op(e2, e3) = e0
% 74.20/11.14 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.14 (6) op(e2, e3) = e2
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | GROUND_INST: instantiating (5) with e2, e1, e3, e1, simplifying with (1), (2)
% 74.20/11.14 | gives:
% 74.20/11.14 | (7) e2 = e1
% 74.20/11.14 |
% 74.20/11.14 | GROUND_INST: instantiating (5) with e0, e2, e3, e2, simplifying with (4), (6)
% 74.20/11.14 | gives:
% 74.20/11.14 | (8) e2 = e0
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (7), (8) imply:
% 74.20/11.14 | (9) e1 = e0
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (9) imply:
% 74.20/11.14 | (10) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (10) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #210 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) op(e2, e1) = e2
% 74.20/11.14 (2) op(e1, e3) = e2
% 74.20/11.14 (3) ~ (e1 = e0)
% 74.20/11.14 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.20/11.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.20/11.14 (5) op(e1, e0) = e0
% 74.20/11.14 (6) op(e1, e0) = e3
% 74.20/11.14 (7) op(e2, e1) = e1
% 74.20/11.14 (8) op(e1, e3) = e3
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | GROUND_INST: instantiating (4) with e3, e0, e0, e1, simplifying with (5), (6)
% 74.20/11.14 | gives:
% 74.20/11.14 | (9) e3 = e0
% 74.20/11.14 |
% 74.20/11.14 | GROUND_INST: instantiating (4) with e2, e3, e3, e1, simplifying with (2), (8)
% 74.20/11.14 | gives:
% 74.20/11.14 | (10) e3 = e2
% 74.20/11.14 |
% 74.20/11.14 | GROUND_INST: instantiating (4) with e1, e2, e1, e2, simplifying with (1), (7)
% 74.20/11.14 | gives:
% 74.20/11.14 | (11) e2 = e1
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (9), (10) imply:
% 74.20/11.14 | (12) e2 = e0
% 74.20/11.14 |
% 74.20/11.14 | REF_CLOSE: (3), (11), (12) are inconsistent by sub-proof #248.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #211 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_6 = e4
% 74.20/11.14 (2) all_10_6 = e0
% 74.20/11.14 (3) ~ (e4 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e4 = e0
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) e4 = e0
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #212 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_18 = e3
% 74.20/11.14 (2) all_10_18 = e2
% 74.20/11.14 (3) ~ (e3 = e2)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e3 = e2
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) e3 = e2
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #213 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_16 = e3
% 74.20/11.14 (2) all_10_16 = e1
% 74.20/11.14 (3) ~ (e3 = e1)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e3 = e1
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) e3 = e1
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #214 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_6 = all_4_2
% 74.20/11.14 (2) all_10_6 = e1
% 74.20/11.14 (3) ~ (all_4_2 = e1)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) all_4_2 = e1
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) all_4_2 = e1
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #215 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.20/11.14 (2) ~ (all_4_14 = e0)
% 74.20/11.14 (3) all_6_22 = all_4_14
% 74.20/11.14 (4) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 74.20/11.14 (5) ~ (all_4_14 = e3)
% 74.20/11.14 (6) ~ (all_4_10 = all_4_14)
% 74.20/11.14 (7) all_6_2 = all_4_10
% 74.20/11.14 (8) ~ (all_4_10 = e3)
% 74.20/11.14 (9) ~ (all_4_10 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (4) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (10) all_6_22 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (3), (10) imply:
% 74.20/11.14 | | (11) all_4_14 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (6), (11) imply:
% 74.20/11.14 | | (12) ~ (all_4_10 = e1)
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (1), (7), (8), (9), (12) are inconsistent by sub-proof #217.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (13) all_6_22 = e3 | all_6_22 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (2), (3), (5), (13) are inconsistent by sub-proof #216.
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #216 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_22 = e3 | all_6_22 = e0
% 74.20/11.14 (2) all_6_22 = all_4_14
% 74.20/11.14 (3) ~ (all_4_14 = e3)
% 74.20/11.14 (4) ~ (all_4_14 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (1) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (5) all_6_22 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (2), (5) imply:
% 74.20/11.14 | | (6) all_4_14 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | SIMP: (6) implies:
% 74.20/11.14 | | (7) all_4_14 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (3), (7) imply:
% 74.20/11.14 | | (8) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (8) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (9) all_6_22 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.14 | | (10) all_4_14 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | SIMP: (10) implies:
% 74.20/11.14 | | (11) all_4_14 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (4), (11) imply:
% 74.20/11.14 | | (12) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (12) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #217 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 74.20/11.14 (2) ~ (all_4_10 = e1)
% 74.20/11.14 (3) all_6_2 = all_4_10
% 74.20/11.14 (4) ~ (all_4_10 = e3)
% 74.20/11.14 (5) ~ (all_4_10 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (1) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (6) all_6_2 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (3), (6) imply:
% 74.20/11.14 | | (7) all_4_10 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | SIMP: (7) implies:
% 74.20/11.14 | | (8) all_4_10 = e1
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (2), (8) imply:
% 74.20/11.14 | | (9) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (9) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (10) all_6_2 = e3 | all_6_2 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #218.
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #218 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_2 = e3 | all_6_2 = e0
% 74.20/11.14 (2) all_6_2 = all_4_10
% 74.20/11.14 (3) ~ (all_4_10 = e3)
% 74.20/11.14 (4) ~ (all_4_10 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (1) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (5) all_6_2 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (2), (5) imply:
% 74.20/11.14 | | (6) all_4_10 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | SIMP: (6) implies:
% 74.20/11.14 | | (7) all_4_10 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (3), (7) imply:
% 74.20/11.14 | | (8) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (8) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (9) all_6_2 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.14 | | (10) all_4_10 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | SIMP: (10) implies:
% 74.20/11.14 | | (11) all_4_10 = e0
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (4), (11) imply:
% 74.20/11.14 | | (12) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (12) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #219 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) ~ (e4 = e1)
% 74.20/11.14 (2) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.20/11.14 (3) all_10_17 = all_4_21
% 74.20/11.14 (4) ~ (all_4_21 = e4)
% 74.20/11.14 (5) ~ (e4 = e2)
% 74.20/11.14 (6) all_10_5 = e2
% 74.20/11.14 (7) all_6_9 = all_4_21
% 74.20/11.14 (8) all_10_10 = all_4_16
% 74.20/11.14 (9) ~ (all_4_16 = e4)
% 74.20/11.14 (10) ~ (all_4_21 = e1)
% 74.20/11.14 (11) ~ (all_4_21 = e0)
% 74.20/11.14 (12) all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 74.20/11.14 (13) all_10_3 = e1
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (12) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (14) all_10_3 = e4
% 74.20/11.14 | |
% 74.20/11.14 | | REF_CLOSE: (1), (13), (14) are inconsistent by sub-proof #223.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (15) all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 74.20/11.14 | |
% 74.20/11.14 | | BETA: splitting (15) gives:
% 74.20/11.14 | |
% 74.20/11.14 | | Case 1:
% 74.20/11.14 | | |
% 74.20/11.14 | | | (16) all_10_5 = e4
% 74.20/11.14 | | |
% 74.20/11.14 | | | COMBINE_EQS: (6), (16) imply:
% 74.20/11.14 | | | (17) e4 = e2
% 74.20/11.14 | | |
% 74.20/11.14 | | | REDUCE: (5), (17) imply:
% 74.20/11.14 | | | (18) $false
% 74.20/11.14 | | |
% 74.20/11.14 | | | CLOSE: (18) is inconsistent.
% 74.20/11.14 | | |
% 74.20/11.14 | | Case 2:
% 74.20/11.14 | | |
% 74.20/11.14 | | | (19) all_10_10 = e4 | all_10_17 = e4
% 74.20/11.14 | | |
% 74.20/11.14 | | | BETA: splitting (2) gives:
% 74.20/11.14 | | |
% 74.20/11.14 | | | Case 1:
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | (20) all_6_9 = e4
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | REF_CLOSE: (4), (7), (20) are inconsistent by sub-proof #222.
% 74.20/11.14 | | | |
% 74.20/11.14 | | | Case 2:
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | (21) ~ (all_6_9 = e4)
% 74.20/11.14 | | | | (22) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | BETA: splitting (22) gives:
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | Case 1:
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | | (23) all_6_9 = e1
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | | REF_CLOSE: (7), (10), (23) are inconsistent by sub-proof #221.
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | Case 2:
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | | (24) all_6_9 = e3 | all_6_9 = e0
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | | BETA: splitting (24) gives:
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | | Case 1:
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | (25) all_6_9 = e3
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | COMBINE_EQS: (7), (25) imply:
% 74.20/11.14 | | | | | | (26) all_4_21 = e3
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | SIMP: (26) implies:
% 74.20/11.14 | | | | | | (27) all_4_21 = e3
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | COMBINE_EQS: (3), (27) imply:
% 74.20/11.14 | | | | | | (28) all_10_17 = e3
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | REDUCE: (4), (27) imply:
% 74.20/11.14 | | | | | | (29) ~ (e4 = e3)
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | SIMP: (29) implies:
% 74.20/11.14 | | | | | | (30) ~ (e4 = e3)
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | BETA: splitting (19) gives:
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | Case 1:
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | (31) all_10_10 = e4
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | COMBINE_EQS: (8), (31) imply:
% 74.20/11.14 | | | | | | | (32) all_4_16 = e4
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | REDUCE: (9), (32) imply:
% 74.20/11.14 | | | | | | | (33) $false
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | CLOSE: (33) is inconsistent.
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | Case 2:
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | (34) all_10_17 = e4
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | COMBINE_EQS: (28), (34) imply:
% 74.20/11.14 | | | | | | | (35) e4 = e3
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | SIMP: (35) implies:
% 74.20/11.14 | | | | | | | (36) e4 = e3
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | REDUCE: (30), (36) imply:
% 74.20/11.14 | | | | | | | (37) $false
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | | CLOSE: (37) is inconsistent.
% 74.20/11.14 | | | | | | |
% 74.20/11.14 | | | | | | End of split
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | Case 2:
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | (38) all_6_9 = e0
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | | REF_CLOSE: (7), (11), (38) are inconsistent by sub-proof #220.
% 74.20/11.14 | | | | | |
% 74.20/11.14 | | | | | End of split
% 74.20/11.14 | | | | |
% 74.20/11.14 | | | | End of split
% 74.20/11.14 | | | |
% 74.20/11.14 | | | End of split
% 74.20/11.14 | | |
% 74.20/11.14 | | End of split
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #220 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_9 = all_4_21
% 74.20/11.14 (2) all_6_9 = e0
% 74.20/11.14 (3) ~ (all_4_21 = e0)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) all_4_21 = e0
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) all_4_21 = e0
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #221 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_9 = all_4_21
% 74.20/11.14 (2) all_6_9 = e1
% 74.20/11.14 (3) ~ (all_4_21 = e1)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) all_4_21 = e1
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) all_4_21 = e1
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #222 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_6_9 = all_4_21
% 74.20/11.14 (2) all_6_9 = e4
% 74.20/11.14 (3) ~ (all_4_21 = e4)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) all_4_21 = e4
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) all_4_21 = e4
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #223 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_3 = e4
% 74.20/11.14 (2) all_10_3 = e1
% 74.20/11.14 (3) ~ (e4 = e1)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e4 = e1
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.14 | (5) e4 = e1
% 74.20/11.14 |
% 74.20/11.14 | REDUCE: (3), (5) imply:
% 74.20/11.14 | (6) $false
% 74.20/11.14 |
% 74.20/11.14 | CLOSE: (6) is inconsistent.
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #224 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) ~ (e3 = e1)
% 74.20/11.14 (2) ~ (e3 = e2)
% 74.20/11.14 (3) all_10_13 = e2
% 74.20/11.14 (4) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 74.20/11.14 (5) all_10_15 = e4
% 74.20/11.14 (6) all_10_19 = e1
% 74.20/11.14 (7) ~ (e3 = e0)
% 74.20/11.14 (8) ~ (e4 = e3)
% 74.20/11.14 (9) all_10_14 = e0
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | BETA: splitting (4) gives:
% 74.20/11.14 |
% 74.20/11.14 | Case 1:
% 74.20/11.14 | |
% 74.20/11.14 | | (10) all_10_13 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | COMBINE_EQS: (3), (10) imply:
% 74.20/11.14 | | (11) e3 = e2
% 74.20/11.14 | |
% 74.20/11.14 | | REDUCE: (2), (11) imply:
% 74.20/11.14 | | (12) $false
% 74.20/11.14 | |
% 74.20/11.14 | | CLOSE: (12) is inconsistent.
% 74.20/11.14 | |
% 74.20/11.14 | Case 2:
% 74.20/11.14 | |
% 74.20/11.14 | | (13) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 74.20/11.14 | |
% 74.20/11.14 | | BETA: splitting (13) gives:
% 74.20/11.14 | |
% 74.20/11.14 | | Case 1:
% 74.20/11.14 | | |
% 74.20/11.14 | | | (14) all_10_14 = e3
% 74.20/11.14 | | |
% 74.20/11.14 | | | COMBINE_EQS: (9), (14) imply:
% 74.20/11.14 | | | (15) e3 = e0
% 74.20/11.14 | | |
% 74.20/11.14 | | | REDUCE: (7), (15) imply:
% 74.20/11.14 | | | (16) $false
% 74.20/11.14 | | |
% 74.20/11.14 | | | CLOSE: (16) is inconsistent.
% 74.20/11.14 | | |
% 74.20/11.14 | | Case 2:
% 74.20/11.14 | | |
% 74.20/11.14 | | | (17) all_10_15 = e3 | all_10_19 = e3
% 74.20/11.14 | | |
% 74.20/11.14 | | | BETA: splitting (17) gives:
% 74.20/11.14 | | |
% 74.20/11.14 | | | Case 1:
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | (18) all_10_15 = e3
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | COMBINE_EQS: (5), (18) imply:
% 74.20/11.14 | | | | (19) e4 = e3
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | REDUCE: (8), (19) imply:
% 74.20/11.14 | | | | (20) $false
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | CLOSE: (20) is inconsistent.
% 74.20/11.14 | | | |
% 74.20/11.14 | | | Case 2:
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | (21) all_10_19 = e3
% 74.20/11.14 | | | |
% 74.20/11.14 | | | | REF_CLOSE: (1), (6), (21) are inconsistent by sub-proof #225.
% 74.20/11.14 | | | |
% 74.20/11.14 | | | End of split
% 74.20/11.14 | | |
% 74.20/11.14 | | End of split
% 74.20/11.14 | |
% 74.20/11.14 | End of split
% 74.20/11.14 |
% 74.20/11.14 End of proof
% 74.20/11.14
% 74.20/11.14 Sub-proof #225 shows that the following formulas are inconsistent:
% 74.20/11.14 ----------------------------------------------------------------
% 74.20/11.14 (1) all_10_19 = e3
% 74.20/11.14 (2) all_10_19 = e1
% 74.20/11.14 (3) ~ (e3 = e1)
% 74.20/11.14
% 74.20/11.14 Begin of proof
% 74.20/11.14 |
% 74.20/11.14 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.14 | (4) e3 = e1
% 74.20/11.14 |
% 74.20/11.14 | SIMP: (4) implies:
% 74.20/11.15 | (5) e3 = e1
% 74.20/11.15 |
% 74.20/11.15 | REDUCE: (3), (5) imply:
% 74.20/11.15 | (6) $false
% 74.20/11.15 |
% 74.20/11.15 | CLOSE: (6) is inconsistent.
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #226 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) ~ (e3 = e2)
% 74.20/11.15 (2) all_10_11 = all_4_17
% 74.20/11.15 (3) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3
% 74.20/11.15 (4) all_10_23 = e2
% 74.20/11.15 (5) all_10_15 = e4
% 74.20/11.15 (6) ~ (all_4_17 = e3)
% 74.20/11.15 (7) ~ (e4 = e3)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | BETA: splitting (3) gives:
% 74.20/11.15 |
% 74.20/11.15 | Case 1:
% 74.20/11.15 | |
% 74.20/11.15 | | (8) all_10_11 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #228.
% 74.20/11.15 | |
% 74.20/11.15 | Case 2:
% 74.20/11.15 | |
% 74.20/11.15 | | (9) all_10_15 = e3 | all_10_23 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | REF_CLOSE: (1), (4), (5), (7), (9) are inconsistent by sub-proof #227.
% 74.20/11.15 | |
% 74.20/11.15 | End of split
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #227 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) ~ (e3 = e2)
% 74.20/11.15 (2) all_10_15 = e3 | all_10_23 = e3
% 74.20/11.15 (3) all_10_23 = e2
% 74.20/11.15 (4) all_10_15 = e4
% 74.20/11.15 (5) ~ (e4 = e3)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | BETA: splitting (2) gives:
% 74.20/11.15 |
% 74.20/11.15 | Case 1:
% 74.20/11.15 | |
% 74.20/11.15 | | (6) all_10_15 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | COMBINE_EQS: (4), (6) imply:
% 74.20/11.15 | | (7) e4 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | REDUCE: (5), (7) imply:
% 74.20/11.15 | | (8) $false
% 74.20/11.15 | |
% 74.20/11.15 | | CLOSE: (8) is inconsistent.
% 74.20/11.15 | |
% 74.20/11.15 | Case 2:
% 74.20/11.15 | |
% 74.20/11.15 | | (9) all_10_23 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | COMBINE_EQS: (3), (9) imply:
% 74.20/11.15 | | (10) e3 = e2
% 74.20/11.15 | |
% 74.20/11.15 | | REDUCE: (1), (10) imply:
% 74.20/11.15 | | (11) $false
% 74.20/11.15 | |
% 74.20/11.15 | | CLOSE: (11) is inconsistent.
% 74.20/11.15 | |
% 74.20/11.15 | End of split
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #228 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) all_10_11 = all_4_17
% 74.20/11.15 (2) all_10_11 = e3
% 74.20/11.15 (3) ~ (all_4_17 = e3)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.15 | (4) all_4_17 = e3
% 74.20/11.15 |
% 74.20/11.15 | SIMP: (4) implies:
% 74.20/11.15 | (5) all_4_17 = e3
% 74.20/11.15 |
% 74.20/11.15 | REDUCE: (3), (5) imply:
% 74.20/11.15 | (6) $false
% 74.20/11.15 |
% 74.20/11.15 | CLOSE: (6) is inconsistent.
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #229 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) all_10_10 = e3
% 74.20/11.15 (2) all_10_10 = e0
% 74.20/11.15 (3) ~ (e3 = e0)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.15 | (4) e3 = e0
% 74.20/11.15 |
% 74.20/11.15 | SIMP: (4) implies:
% 74.20/11.15 | (5) e3 = e0
% 74.20/11.15 |
% 74.20/11.15 | REDUCE: (3), (5) imply:
% 74.20/11.15 | (6) $false
% 74.20/11.15 |
% 74.20/11.15 | CLOSE: (6) is inconsistent.
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #230 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) ~ (all_4_5 = all_4_7)
% 74.20/11.15 (2) ~ (all_4_5 = e1)
% 74.20/11.15 (3) ~ (all_4_7 = e4)
% 74.20/11.15 (4) ~ (all_4_7 = e1)
% 74.20/11.15 (5) ~ (all_4_7 = e3)
% 74.20/11.15 (6) all_6_11 = all_4_7
% 74.20/11.15 (7) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.20/11.15 (8) all_6_1 = all_4_5
% 74.20/11.15 (9) ~ (all_4_5 = e3)
% 74.20/11.15 (10) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | BETA: splitting (10) gives:
% 74.20/11.15 |
% 74.20/11.15 | Case 1:
% 74.20/11.15 | |
% 74.20/11.15 | | (11) all_6_1 = e1
% 74.20/11.15 | |
% 74.20/11.15 | | REF_CLOSE: (2), (8), (11) are inconsistent by sub-proof #237.
% 74.20/11.15 | |
% 74.20/11.15 | Case 2:
% 74.20/11.15 | |
% 74.20/11.15 | | (12) all_6_1 = e3 | all_6_1 = e0
% 74.20/11.15 | |
% 74.20/11.15 | | BETA: splitting (7) gives:
% 74.20/11.15 | |
% 74.20/11.15 | | Case 1:
% 74.20/11.15 | | |
% 74.20/11.15 | | | (13) all_6_11 = e4
% 74.20/11.15 | | |
% 74.20/11.15 | | | REF_CLOSE: (3), (6), (13) are inconsistent by sub-proof #233.
% 74.20/11.15 | | |
% 74.20/11.15 | | Case 2:
% 74.20/11.15 | | |
% 74.20/11.15 | | | (14) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0
% 74.20/11.15 | | |
% 74.20/11.15 | | | BETA: splitting (14) gives:
% 74.20/11.15 | | |
% 74.20/11.15 | | | Case 1:
% 74.20/11.15 | | | |
% 74.20/11.15 | | | | (15) all_6_11 = e1
% 74.20/11.15 | | | |
% 74.20/11.15 | | | | REF_CLOSE: (4), (6), (15) are inconsistent by sub-proof #232.
% 74.20/11.15 | | | |
% 74.20/11.15 | | | Case 2:
% 74.20/11.15 | | | |
% 74.20/11.15 | | | | (16) all_6_11 = e3 | all_6_11 = e0
% 74.20/11.15 | | | |
% 74.20/11.15 | | | | BETA: splitting (12) gives:
% 74.20/11.15 | | | |
% 74.20/11.15 | | | | Case 1:
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | (17) all_6_1 = e3
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | REF_CLOSE: (8), (9), (17) are inconsistent by sub-proof #236.
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | Case 2:
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | (18) all_6_1 = e0
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | COMBINE_EQS: (8), (18) imply:
% 74.20/11.15 | | | | | (19) all_4_5 = e0
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | SIMP: (19) implies:
% 74.20/11.15 | | | | | (20) all_4_5 = e0
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | REDUCE: (1), (20) imply:
% 74.20/11.15 | | | | | (21) ~ (all_4_7 = e0)
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | SIMP: (21) implies:
% 74.20/11.15 | | | | | (22) ~ (all_4_7 = e0)
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | | REF_CLOSE: (5), (6), (16), (22) are inconsistent by sub-proof #231.
% 74.20/11.15 | | | | |
% 74.20/11.15 | | | | End of split
% 74.20/11.15 | | | |
% 74.20/11.15 | | | End of split
% 74.20/11.15 | | |
% 74.20/11.15 | | End of split
% 74.20/11.15 | |
% 74.20/11.15 | End of split
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #231 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) all_6_11 = e3 | all_6_11 = e0
% 74.20/11.15 (2) all_6_11 = all_4_7
% 74.20/11.15 (3) ~ (all_4_7 = e3)
% 74.20/11.15 (4) ~ (all_4_7 = e0)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | BETA: splitting (1) gives:
% 74.20/11.15 |
% 74.20/11.15 | Case 1:
% 74.20/11.15 | |
% 74.20/11.15 | | (5) all_6_11 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | COMBINE_EQS: (2), (5) imply:
% 74.20/11.15 | | (6) all_4_7 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | SIMP: (6) implies:
% 74.20/11.15 | | (7) all_4_7 = e3
% 74.20/11.15 | |
% 74.20/11.15 | | REDUCE: (3), (7) imply:
% 74.20/11.15 | | (8) $false
% 74.20/11.15 | |
% 74.20/11.15 | | CLOSE: (8) is inconsistent.
% 74.20/11.15 | |
% 74.20/11.15 | Case 2:
% 74.20/11.15 | |
% 74.20/11.15 | | (9) all_6_11 = e0
% 74.20/11.15 | |
% 74.20/11.15 | | COMBINE_EQS: (2), (9) imply:
% 74.20/11.15 | | (10) all_4_7 = e0
% 74.20/11.15 | |
% 74.20/11.15 | | SIMP: (10) implies:
% 74.20/11.15 | | (11) all_4_7 = e0
% 74.20/11.15 | |
% 74.20/11.15 | | REDUCE: (4), (11) imply:
% 74.20/11.15 | | (12) $false
% 74.20/11.15 | |
% 74.20/11.15 | | CLOSE: (12) is inconsistent.
% 74.20/11.15 | |
% 74.20/11.15 | End of split
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #232 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) all_6_11 = all_4_7
% 74.20/11.15 (2) all_6_11 = e1
% 74.20/11.15 (3) ~ (all_4_7 = e1)
% 74.20/11.15
% 74.20/11.15 Begin of proof
% 74.20/11.15 |
% 74.20/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.20/11.15 | (4) all_4_7 = e1
% 74.20/11.15 |
% 74.20/11.15 | SIMP: (4) implies:
% 74.20/11.15 | (5) all_4_7 = e1
% 74.20/11.15 |
% 74.20/11.15 | REDUCE: (3), (5) imply:
% 74.20/11.15 | (6) $false
% 74.20/11.15 |
% 74.20/11.15 | CLOSE: (6) is inconsistent.
% 74.20/11.15 |
% 74.20/11.15 End of proof
% 74.20/11.15
% 74.20/11.15 Sub-proof #233 shows that the following formulas are inconsistent:
% 74.20/11.15 ----------------------------------------------------------------
% 74.20/11.15 (1) all_6_11 = all_4_7
% 74.42/11.15 (2) all_6_11 = e4
% 74.42/11.15 (3) ~ (all_4_7 = e4)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_7 = e4
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_7 = e4
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #234 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (all_4_5 = e1)
% 74.42/11.15 (2) ~ (all_4_5 = e0)
% 74.42/11.15 (3) all_6_1 = all_4_5
% 74.42/11.15 (4) ~ (all_4_5 = e3)
% 74.42/11.15 (5) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (5) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (6) all_6_1 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #237.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (7) all_6_1 = e3 | all_6_1 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | BETA: splitting (7) gives:
% 74.42/11.15 | |
% 74.42/11.15 | | Case 1:
% 74.42/11.15 | | |
% 74.42/11.15 | | | (8) all_6_1 = e3
% 74.42/11.15 | | |
% 74.42/11.15 | | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #236.
% 74.42/11.15 | | |
% 74.42/11.15 | | Case 2:
% 74.42/11.15 | | |
% 74.42/11.15 | | | (9) all_6_1 = e0
% 74.42/11.15 | | |
% 74.42/11.15 | | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #235.
% 74.42/11.15 | | |
% 74.42/11.15 | | End of split
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #235 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_1 = all_4_5
% 74.42/11.15 (2) all_6_1 = e0
% 74.42/11.15 (3) ~ (all_4_5 = e0)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_5 = e0
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_5 = e0
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #236 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_1 = all_4_5
% 74.42/11.15 (2) all_6_1 = e3
% 74.42/11.15 (3) ~ (all_4_5 = e3)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_5 = e3
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_5 = e3
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #237 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_1 = all_4_5
% 74.42/11.15 (2) all_6_1 = e1
% 74.42/11.15 (3) ~ (all_4_5 = e1)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_5 = e1
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_5 = e1
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #238 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (e4 = e1)
% 74.42/11.15 (2) ~ (e2 = e1)
% 74.42/11.15 (3) ~ (all_4_2 = e0)
% 74.42/11.15 (4) all_6_10 = all_4_2
% 74.42/11.15 (5) all_10_11 = all_4_17
% 74.42/11.15 (6) all_10_23 = e2
% 74.42/11.15 (7) ~ (all_4_2 = e3)
% 74.42/11.15 (8) all_10_15 = e4
% 74.42/11.15 (9) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.42/11.15 (10) ~ (all_4_2 = all_4_17)
% 74.42/11.15 (11) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1
% 74.42/11.15 (12) ~ (all_4_2 = e4)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (11) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (13) all_10_11 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | COMBINE_EQS: (5), (13) imply:
% 74.42/11.15 | | (14) all_4_17 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | SIMP: (14) implies:
% 74.42/11.15 | | (15) all_4_17 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REDUCE: (10), (15) imply:
% 74.42/11.15 | | (16) ~ (all_4_2 = e1)
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (3), (4), (7), (9), (12), (16) are inconsistent by sub-proof
% 74.42/11.15 | | #239.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (17) all_10_15 = e1 | all_10_23 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (1), (2), (6), (8), (17) are inconsistent by sub-proof #244.
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #239 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (all_4_2 = e0)
% 74.42/11.15 (2) all_6_10 = all_4_2
% 74.42/11.15 (3) ~ (all_4_2 = e3)
% 74.42/11.15 (4) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.42/11.15 (5) ~ (all_4_2 = e1)
% 74.42/11.15 (6) ~ (all_4_2 = e4)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (4) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (7) all_6_10 = e4
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #243.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (8) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #240.
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #240 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (all_4_2 = e0)
% 74.42/11.15 (2) all_6_10 = all_4_2
% 74.42/11.15 (3) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 74.42/11.15 (4) ~ (all_4_2 = e3)
% 74.42/11.15 (5) ~ (all_4_2 = e1)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (3) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (6) all_6_10 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #242.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (7) all_6_10 = e3 | all_6_10 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #241.
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #241 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_10 = e3 | all_6_10 = e0
% 74.42/11.15 (2) all_6_10 = all_4_2
% 74.42/11.15 (3) ~ (all_4_2 = e3)
% 74.42/11.15 (4) ~ (all_4_2 = e0)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (1) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (5) all_6_10 = e3
% 74.42/11.15 | |
% 74.42/11.15 | | COMBINE_EQS: (2), (5) imply:
% 74.42/11.15 | | (6) all_4_2 = e3
% 74.42/11.15 | |
% 74.42/11.15 | | SIMP: (6) implies:
% 74.42/11.15 | | (7) all_4_2 = e3
% 74.42/11.15 | |
% 74.42/11.15 | | REDUCE: (3), (7) imply:
% 74.42/11.15 | | (8) $false
% 74.42/11.15 | |
% 74.42/11.15 | | CLOSE: (8) is inconsistent.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (9) all_6_10 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | COMBINE_EQS: (2), (9) imply:
% 74.42/11.15 | | (10) all_4_2 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | SIMP: (10) implies:
% 74.42/11.15 | | (11) all_4_2 = e0
% 74.42/11.15 | |
% 74.42/11.15 | | REDUCE: (4), (11) imply:
% 74.42/11.15 | | (12) $false
% 74.42/11.15 | |
% 74.42/11.15 | | CLOSE: (12) is inconsistent.
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #242 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_10 = all_4_2
% 74.42/11.15 (2) all_6_10 = e1
% 74.42/11.15 (3) ~ (all_4_2 = e1)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_2 = e1
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_2 = e1
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #243 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_6_10 = all_4_2
% 74.42/11.15 (2) all_6_10 = e4
% 74.42/11.15 (3) ~ (all_4_2 = e4)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) all_4_2 = e4
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) all_4_2 = e4
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #244 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (e4 = e1)
% 74.42/11.15 (2) ~ (e2 = e1)
% 74.42/11.15 (3) all_10_23 = e2
% 74.42/11.15 (4) all_10_15 = e4
% 74.42/11.15 (5) all_10_15 = e1 | all_10_23 = e1
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | BETA: splitting (5) gives:
% 74.42/11.15 |
% 74.42/11.15 | Case 1:
% 74.42/11.15 | |
% 74.42/11.15 | | (6) all_10_15 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | COMBINE_EQS: (4), (6) imply:
% 74.42/11.15 | | (7) e4 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REDUCE: (1), (7) imply:
% 74.42/11.15 | | (8) $false
% 74.42/11.15 | |
% 74.42/11.15 | | CLOSE: (8) is inconsistent.
% 74.42/11.15 | |
% 74.42/11.15 | Case 2:
% 74.42/11.15 | |
% 74.42/11.15 | | (9) all_10_23 = e1
% 74.42/11.15 | |
% 74.42/11.15 | | REF_CLOSE: (2), (3), (9) are inconsistent by sub-proof #245.
% 74.42/11.15 | |
% 74.42/11.15 | End of split
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #245 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) all_10_23 = e2
% 74.42/11.15 (2) all_10_23 = e1
% 74.42/11.15 (3) ~ (e2 = e1)
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.15 | (4) e2 = e1
% 74.42/11.15 |
% 74.42/11.15 | SIMP: (4) implies:
% 74.42/11.15 | (5) e2 = e1
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (3), (5) imply:
% 74.42/11.15 | (6) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (6) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #246 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) ~ (e2 = e1)
% 74.42/11.15 (2) op(e0, e4) = e1
% 74.42/11.15 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.42/11.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.42/11.15 (4) op(e0, e2) = e2
% 74.42/11.15 (5) op(e0, e4) = e4
% 74.42/11.15 (6) op(e0, e2) = e4
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | GROUND_INST: instantiating (3) with e4, e2, e2, e0, simplifying with (4), (6)
% 74.42/11.15 | gives:
% 74.42/11.15 | (7) e4 = e2
% 74.42/11.15 |
% 74.42/11.15 | GROUND_INST: instantiating (3) with e1, e4, e4, e0, simplifying with (2), (5)
% 74.42/11.15 | gives:
% 74.42/11.15 | (8) e4 = e1
% 74.42/11.15 |
% 74.42/11.15 | COMBINE_EQS: (7), (8) imply:
% 74.42/11.15 | (9) e2 = e1
% 74.42/11.15 |
% 74.42/11.15 | REDUCE: (1), (9) imply:
% 74.42/11.15 | (10) $false
% 74.42/11.15 |
% 74.42/11.15 | CLOSE: (10) is inconsistent.
% 74.42/11.15 |
% 74.42/11.15 End of proof
% 74.42/11.15
% 74.42/11.15 Sub-proof #247 shows that the following formulas are inconsistent:
% 74.42/11.15 ----------------------------------------------------------------
% 74.42/11.15 (1) op(e2, e3) = e4
% 74.42/11.15 (2) op(e1, e3) = e1
% 74.42/11.15 (3) op(e1, e3) = e2
% 74.42/11.15 (4) op(e4, e3) = e0
% 74.42/11.15 (5) ~ (e1 = e0)
% 74.42/11.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.42/11.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.42/11.15 (7) op(e2, e3) = e2
% 74.42/11.15 (8) op(e4, e3) = e4
% 74.42/11.15
% 74.42/11.15 Begin of proof
% 74.42/11.15 |
% 74.42/11.15 | GROUND_INST: instantiating (6) with e2, e1, e3, e1, simplifying with (2), (3)
% 74.42/11.15 | gives:
% 74.42/11.15 | (9) e2 = e1
% 74.42/11.15 |
% 74.42/11.16 | GROUND_INST: instantiating (6) with e4, e2, e3, e2, simplifying with (1), (7)
% 74.42/11.16 | gives:
% 74.42/11.16 | (10) e4 = e2
% 74.42/11.16 |
% 74.42/11.16 | GROUND_INST: instantiating (6) with e0, e4, e3, e4, simplifying with (4), (8)
% 74.42/11.16 | gives:
% 74.42/11.16 | (11) e4 = e0
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (10), (11) imply:
% 74.42/11.16 | (12) e2 = e0
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (12) implies:
% 74.42/11.16 | (13) e2 = e0
% 74.42/11.16 |
% 74.42/11.16 | REF_CLOSE: (5), (9), (13) are inconsistent by sub-proof #248.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #248 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) e2 = e1
% 74.42/11.16 (2) e2 = e0
% 74.42/11.16 (3) ~ (e1 = e0)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) e1 = e0
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) e1 = e0
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #249 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) op(e4, e3) = e0
% 74.42/11.16 (2) op(unit, e3) = e3
% 74.42/11.16 (3) ~ (e1 = e0)
% 74.42/11.16 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 74.42/11.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 74.42/11.16 (5) op(e4, e1) = e3
% 74.42/11.16 (6) op(unit, e1) = e1
% 74.42/11.16 (7) unit = e4
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (2), (7) imply:
% 74.42/11.16 | (8) op(e4, e3) = e3
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (6), (7) imply:
% 74.42/11.16 | (9) op(e4, e1) = e1
% 74.42/11.16 |
% 74.42/11.16 | GROUND_INST: instantiating (4) with e3, e1, e1, e4, simplifying with (5), (9)
% 74.42/11.16 | gives:
% 74.42/11.16 | (10) e3 = e1
% 74.42/11.16 |
% 74.42/11.16 | GROUND_INST: instantiating (4) with e0, e3, e3, e4, simplifying with (1), (8)
% 74.42/11.16 | gives:
% 74.42/11.16 | (11) e3 = e0
% 74.42/11.16 |
% 74.42/11.16 | REF_CLOSE: (3), (10), (11) are inconsistent by sub-proof #250.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #250 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) e3 = e1
% 74.42/11.16 (2) e3 = e0
% 74.42/11.16 (3) ~ (e1 = e0)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) e1 = e0
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) e1 = e0
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #251 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_1 = all_4_5
% 74.42/11.16 (2) all_6_1 = e4
% 74.42/11.16 (3) ~ (all_4_5 = e4)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_5 = e4
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_5 = e4
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #252 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_5 = e2
% 74.42/11.16 (2) all_10_5 = e0
% 74.42/11.16 (3) ~ (e2 = e0)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) e2 = e0
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) e2 = e0
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #253 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_2 = e4
% 74.42/11.16 (2) all_10_2 = e0
% 74.42/11.16 (3) ~ (e4 = e0)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) e4 = e0
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) e4 = e0
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #254 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_6 = all_4_2
% 74.42/11.16 (2) all_10_6 = e4
% 74.42/11.16 (3) ~ (all_4_2 = e4)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_2 = e4
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_2 = e4
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #255 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_2 = all_4_10
% 74.42/11.16 (2) all_6_2 = e4
% 74.42/11.16 (3) ~ (all_4_10 = e4)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_10 = e4
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_10 = e4
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #256 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_20 = all_4_4
% 74.42/11.16 (2) all_6_20 = e2
% 74.42/11.16 (3) ~ (all_4_4 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_4 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_4 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #257 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_10 = all_4_2
% 74.42/11.16 (2) all_6_10 = e2
% 74.42/11.16 (3) ~ (all_4_2 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_2 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_2 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #258 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_5 = all_4_1
% 74.42/11.16 (2) all_6_5 = e2
% 74.42/11.16 (3) ~ (all_4_1 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_1 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_1 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #259 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_3 = all_4_15
% 74.42/11.16 (2) all_6_3 = e2
% 74.42/11.16 (3) ~ (all_4_15 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_15 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_15 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #260 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_1 = all_4_5
% 74.42/11.16 (2) all_6_1 = e2
% 74.42/11.16 (3) ~ (all_4_5 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_5 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_5 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #261 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_11 = all_4_7
% 74.42/11.16 (2) all_6_11 = e2
% 74.42/11.16 (3) ~ (all_4_7 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_7 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_7 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #262 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_21 = all_4_9
% 74.42/11.16 (2) all_6_21 = e2
% 74.42/11.16 (3) ~ (all_4_9 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_9 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_9 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #263 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_22 = all_4_14
% 74.42/11.16 (2) all_10_22 = e2
% 74.42/11.16 (3) ~ (all_4_14 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_14 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_14 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #264 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_21 = all_4_9
% 74.42/11.16 (2) all_10_21 = e2
% 74.42/11.16 (3) ~ (all_4_9 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_9 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_9 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #265 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_20 = all_4_4
% 74.42/11.16 (2) all_10_20 = e2
% 74.42/11.16 (3) ~ (all_4_4 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_4 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_4 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #266 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_10_17 = all_4_21
% 74.42/11.16 (2) all_10_17 = e2
% 74.42/11.16 (3) ~ (all_4_21 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_21 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_21 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #267 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_6_2 = all_4_10
% 74.42/11.16 (2) all_6_2 = e2
% 74.42/11.16 (3) ~ (all_4_10 = e2)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) all_4_10 = e2
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) all_4_10 = e2
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16
% 74.42/11.16 Sub-proof #268 shows that the following formulas are inconsistent:
% 74.42/11.16 ----------------------------------------------------------------
% 74.42/11.16 (1) all_8_65 = e2
% 74.42/11.16 (2) all_8_65 = e1
% 74.42/11.16 (3) ~ (e2 = e1)
% 74.42/11.16
% 74.42/11.16 Begin of proof
% 74.42/11.16 |
% 74.42/11.16 | COMBINE_EQS: (1), (2) imply:
% 74.42/11.16 | (4) e2 = e1
% 74.42/11.16 |
% 74.42/11.16 | SIMP: (4) implies:
% 74.42/11.16 | (5) e2 = e1
% 74.42/11.16 |
% 74.42/11.16 | REDUCE: (3), (5) imply:
% 74.42/11.16 | (6) $false
% 74.42/11.16 |
% 74.42/11.16 | CLOSE: (6) is inconsistent.
% 74.42/11.16 |
% 74.42/11.16 End of proof
% 74.42/11.16 % SZS output end Proof for theBenchmark
% 74.42/11.16
% 74.42/11.16 10550ms
%------------------------------------------------------------------------------