TSTP Solution File: ALG062+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG062+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 : n032.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 16:36:07 EDT 2023
% Result : Theorem 21.84s 3.75s
% Output : Proof 73.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG062+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 03:40:15 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.15/0.55 ________ _____
% 0.15/0.55 ___ __ \_________(_)________________________________
% 0.15/0.55 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.55 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.55 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.55
% 0.15/0.55 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.55 (2023-06-19)
% 0.15/0.55
% 0.15/0.55 (c) Philipp Rümmer, 2009-2023
% 0.15/0.55 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.55 Amanda Stjerna.
% 0.15/0.55 Free software under BSD-3-Clause.
% 0.15/0.55
% 0.15/0.55 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.55
% 0.15/0.55 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.15/0.56 Running up to 7 provers in parallel.
% 0.15/0.57 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.15/0.57 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.15/0.57 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.15/0.57 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.15/0.57 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.15/0.57 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.15/0.58 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 7.25/1.73 Prover 4: Preprocessing ...
% 7.72/1.83 Prover 1: Preprocessing ...
% 8.60/1.90 Prover 5: Preprocessing ...
% 8.60/1.90 Prover 6: Preprocessing ...
% 8.60/1.90 Prover 2: Preprocessing ...
% 8.60/1.91 Prover 3: Preprocessing ...
% 8.81/1.94 Prover 0: Preprocessing ...
% 14.92/2.82 Prover 2: Constructing countermodel ...
% 15.34/2.83 Prover 1: Constructing countermodel ...
% 15.34/2.83 Prover 4: Constructing countermodel ...
% 15.34/2.84 Prover 3: Constructing countermodel ...
% 15.58/2.98 Prover 6: Constructing countermodel ...
% 15.58/3.03 Prover 0: Constructing countermodel ...
% 21.84/3.75 Prover 2: proved (3166ms)
% 21.84/3.75
% 21.84/3.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.84/3.75
% 21.84/3.75 Prover 6: stopped
% 21.84/3.75 Prover 3: stopped
% 21.84/3.75 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 21.84/3.75 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 21.84/3.75 Prover 0: stopped
% 21.84/3.77 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 21.84/3.77 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 25.20/4.22 Prover 5: Constructing countermodel ...
% 25.61/4.25 Prover 5: stopped
% 25.89/4.25 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 25.89/4.33 Prover 10: Preprocessing ...
% 26.51/4.34 Prover 11: Preprocessing ...
% 26.51/4.36 Prover 8: Preprocessing ...
% 26.51/4.37 Prover 7: Preprocessing ...
% 28.77/4.63 Prover 13: Preprocessing ...
% 28.77/4.70 Prover 8: Constructing countermodel ...
% 28.77/4.89 Prover 11: Constructing countermodel ...
% 28.77/4.95 Prover 10: Constructing countermodel ...
% 31.70/5.05 Prover 13: Constructing countermodel ...
% 32.68/5.20 Prover 7: Constructing countermodel ...
% 64.79/9.42 Prover 4: Found proof (size 6450)
% 64.79/9.43 Prover 4: proved (8854ms)
% 64.79/9.43 Prover 7: stopped
% 64.79/9.43 Prover 8: stopped
% 64.79/9.43 Prover 13: stopped
% 64.79/9.43 Prover 1: stopped
% 64.79/9.43 Prover 10: stopped
% 64.79/9.43 Prover 11: stopped
% 64.79/9.43
% 64.79/9.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.79/9.43
% 66.61/9.92 % SZS output start Proof for theBenchmark
% 67.25/9.96 Assumptions after simplification:
% 67.25/9.96 ---------------------------------
% 67.25/9.96
% 67.25/9.96 (ax1)
% 67.52/10.04 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 67.52/10.04 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 67.52/10.04 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 67.52/10.04 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 67.52/10.04 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 67.52/10.04 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 67.52/10.04 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 67.52/10.04 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 67.52/10.04 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 67.52/10.04 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 67.52/10.04 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 67.52/10.04 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 67.52/10.04 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 67.52/10.04 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 67.52/10.04 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 67.52/10.04 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 67.52/10.04 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 67.52/10.04 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 67.52/10.04 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 67.52/10.04 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 67.52/10.04 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 67.52/10.04 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 67.52/10.04 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 67.52/10.04 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 67.52/10.04 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 67.52/10.04 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 67.52/10.04 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 67.52/10.04 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 67.52/10.04 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 67.52/10.04 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 67.52/10.04 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 67.52/10.04 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 67.52/10.04 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 67.52/10.04 | v0 = e0))
% 67.52/10.04
% 67.52/10.04 (ax2)
% 67.52/10.05 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 67.52/10.05 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 67.52/10.05 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 67.52/10.05 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 67.52/10.05 unit = e0)
% 67.52/10.05
% 67.52/10.05 (ax3)
% 67.91/10.07 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 67.91/10.07 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 67.91/10.07 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 67.91/10.07 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 67.91/10.07 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 67.91/10.07 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 67.91/10.07 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 67.91/10.07 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 67.91/10.07 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 67.91/10.07 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 67.91/10.07 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 67.91/10.07 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 67.91/10.07 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 67.91/10.08 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 67.91/10.08 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 67.91/10.08 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 67.91/10.08 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 67.91/10.08 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 67.91/10.08 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 67.91/10.08 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 67.91/10.08 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 67.91/10.08 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 67.91/10.08 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 67.91/10.08 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 67.91/10.08 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 67.91/10.08 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 67.91/10.08 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 67.91/10.08 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 67.91/10.08 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 67.91/10.08 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 67.91/10.08 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 67.91/10.08 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 67.91/10.08 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 67.91/10.08 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 67.91/10.08 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 67.91/10.08 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 67.91/10.08 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 67.91/10.08 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 67.91/10.08 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 67.91/10.08 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 67.91/10.08 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 67.91/10.08 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 67.91/10.08 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 67.91/10.08 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 67.91/10.08 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 67.91/10.08 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 67.91/10.08 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 67.91/10.08 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 67.91/10.08 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 67.91/10.08 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 67.91/10.08 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 67.91/10.08 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 67.91/10.08
% 67.91/10.08 (ax4)
% 67.91/10.09 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 67.91/10.09 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 67.91/10.09 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 67.91/10.10 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 67.91/10.10 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 67.91/10.10 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 67.91/10.10 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 =
% 67.91/10.10 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) &
% 67.91/10.10 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 =
% 67.91/10.10 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) &
% 67.91/10.10 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 =
% 67.91/10.10 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~
% 67.91/10.10 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 =
% 67.91/10.10 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) &
% 67.91/10.10 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 67.91/10.10 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) &
% 67.91/10.10 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 =
% 67.91/10.10 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) &
% 67.91/10.10 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 =
% 67.91/10.10 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) &
% 67.91/10.10 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 =
% 67.91/10.10 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~
% 67.91/10.10 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~
% 67.91/10.10 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~
% 67.91/10.10 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~
% 67.91/10.10 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~
% 67.91/10.10 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) &
% 67.91/10.10 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 67.91/10.10 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 67.91/10.10 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 67.91/10.10 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 67.91/10.10 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 67.91/10.10 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 67.91/10.10 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 67.91/10.10 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 67.91/10.10 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 67.91/10.10 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 67.91/10.10
% 67.91/10.10 (ax5)
% 67.91/10.10 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~
% 67.91/10.10 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4)
% 67.91/10.10 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 67.91/10.10
% 67.91/10.10 (ax6)
% 67.91/10.10 op(e4, e4) = e2 & op(e2, e2) = e3 & op(e1, e2) = e0 & op(e1, e1) = e4 & $i(e4)
% 67.91/10.10 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 67.91/10.10
% 67.91/10.10 (co1)
% 68.10/10.13 $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1:
% 68.10/10.13 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 68.10/10.13 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 68.10/10.13 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 68.10/10.13 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 68.10/10.13 [v22: $i] : ? [v23: $i] : ? [v24: $i] : (op(e4, e4) = v4 & op(e4, e3) = v24
% 68.10/10.13 & op(e4, e2) = v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v20
% 68.10/10.13 & op(e3, e3) = v3 & op(e3, e2) = v19 & op(e3, e1) = v18 & op(e3, e0) = v17 &
% 68.10/10.13 op(e2, e4) = v16 & op(e2, e3) = v15 & op(e2, e2) = v2 & op(e2, e1) = v14 &
% 68.10/10.13 op(e2, e0) = v13 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 &
% 68.10/10.13 op(e1, e1) = v1 & op(e1, e0) = v9 & op(e0, e4) = v8 & op(e0, e3) = v7 &
% 68.10/10.13 op(e0, e2) = v6 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) &
% 68.10/10.13 $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 68.10/10.13 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 68.10/10.13 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 68.10/10.13 (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2
% 68.10/10.13 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 =
% 68.10/10.13 e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 = e0 | v3 =
% 68.10/10.13 e0 | v2 = e0 | v1 = e0 | v0 = e0) & ((( ~ (v24 = e4) | (v4 = e3 & ~ (unit
% 68.10/10.13 = e4))) & ( ~ (v23 = e4) | (v4 = e2 & ~ (unit = e4))) & ( ~ (v22
% 68.10/10.13 = e4) | (v4 = e1 & ~ (unit = e4))) & ( ~ (v21 = e4) | (v4 = e0 & ~
% 68.10/10.13 (unit = e4))) & ( ~ (v20 = e4) | ~ (unit = e4)) & ( ~ (v19 = e4) |
% 68.10/10.13 (v20 = e2 & ~ (unit = e4))) & ( ~ (v18 = e4) | (v20 = e1 & ~ (unit =
% 68.10/10.13 e4))) & ( ~ (v17 = e4) | (v20 = e0 & ~ (unit = e4))) & ( ~ (v16 =
% 68.10/10.13 e4) | ~ (unit = e4)) & ( ~ (v15 = e4) | (v16 = e3 & ~ (unit =
% 68.10/10.13 e4))) & ( ~ (v14 = e4) | (v16 = e1 & ~ (unit = e4))) & ( ~ (v13 =
% 68.10/10.13 e4) | (v16 = e0 & ~ (unit = e4))) & ( ~ (v12 = e4) | ~ (unit =
% 68.10/10.13 e4)) & ( ~ (v11 = e4) | (v12 = e3 & ~ (unit = e4))) & ( ~ (v10 =
% 68.10/10.13 e4) | (v12 = e2 & ~ (unit = e4))) & ( ~ (v9 = e4) | (v12 = e0 & ~
% 68.10/10.13 (unit = e4))) & ( ~ (v8 = e4) | ~ (unit = e4)) & ( ~ (v7 = e4) |
% 68.10/10.13 (v8 = e3 & ~ (unit = e4))) & ( ~ (v6 = e4) | (v8 = e2 & ~ (unit =
% 68.10/10.13 e4))) & ( ~ (v5 = e4) | (v8 = e1 & ~ (unit = e4))) & ( ~ (v4 =
% 68.10/10.13 e4) | ~ (unit = e4)) & ( ~ (v3 = e4) | (v20 = e3 & ~ (unit = e4)))
% 68.10/10.13 & ( ~ (v2 = e4) | (v16 = e2 & ~ (unit = e4))) & ( ~ (v1 = e4) | (v12 =
% 68.10/10.14 e1 & ~ (unit = e4))) & ( ~ (v0 = e4) | (v8 = e0 & ~ (unit = e4))))
% 68.10/10.14 | (( ~ (v24 = e3) | ~ (unit = e3)) & ( ~ (v23 = e3) | (v24 = e2 & ~
% 68.10/10.14 (unit = e3))) & ( ~ (v22 = e3) | (v24 = e1 & ~ (unit = e3))) & ( ~
% 68.10/10.14 (v21 = e3) | (v24 = e0 & ~ (unit = e3))) & ( ~ (v20 = e3) | (v3 = e4
% 68.10/10.14 & ~ (unit = e3))) & ( ~ (v19 = e3) | (v3 = e2 & ~ (unit = e3))) &
% 68.10/10.14 ( ~ (v18 = e3) | (v3 = e1 & ~ (unit = e3))) & ( ~ (v17 = e3) | (v3 = e0
% 68.10/10.14 & ~ (unit = e3))) & ( ~ (v16 = e3) | (v15 = e4 & ~ (unit = e3))) &
% 68.10/10.14 ( ~ (v15 = e3) | ~ (unit = e3)) & ( ~ (v14 = e3) | (v15 = e1 & ~ (unit
% 68.10/10.14 = e3))) & ( ~ (v13 = e3) | (v15 = e0 & ~ (unit = e3))) & ( ~ (v12
% 68.10/10.14 = e3) | (v11 = e4 & ~ (unit = e3))) & ( ~ (v11 = e3) | ~ (unit =
% 68.10/10.14 e3)) & ( ~ (v10 = e3) | (v11 = e2 & ~ (unit = e3))) & ( ~ (v9 = e3)
% 68.10/10.14 | (v11 = e0 & ~ (unit = e3))) & ( ~ (v8 = e3) | (v7 = e4 & ~ (unit =
% 68.10/10.14 e3))) & ( ~ (v7 = e3) | ~ (unit = e3)) & ( ~ (v6 = e3) | (v7 = e2
% 68.10/10.14 & ~ (unit = e3))) & ( ~ (v5 = e3) | (v7 = e1 & ~ (unit = e3))) & (
% 68.10/10.14 ~ (v4 = e3) | (v24 = e4 & ~ (unit = e3))) & ( ~ (v3 = e3) | ~ (unit
% 68.10/10.14 = e3)) & ( ~ (v2 = e3) | (v15 = e2 & ~ (unit = e3))) & ( ~ (v1 =
% 68.10/10.14 e3) | (v11 = e1 & ~ (unit = e3))) & ( ~ (v0 = e3) | (v7 = e0 & ~
% 68.10/10.14 (unit = e3)))) | (( ~ (v24 = e2) | (v23 = e3 & ~ (unit = e2))) & (
% 68.10/10.14 ~ (v23 = e2) | ~ (unit = e2)) & ( ~ (v22 = e2) | (v23 = e1 & ~ (unit
% 68.10/10.14 = e2))) & ( ~ (v21 = e2) | (v23 = e0 & ~ (unit = e2))) & ( ~ (v20
% 68.10/10.14 = e2) | (v19 = e4 & ~ (unit = e2))) & ( ~ (v19 = e2) | ~ (unit =
% 68.10/10.14 e2)) & ( ~ (v18 = e2) | (v19 = e1 & ~ (unit = e2))) & ( ~ (v17 =
% 68.10/10.14 e2) | (v19 = e0 & ~ (unit = e2))) & ( ~ (v16 = e2) | (v2 = e4 & ~
% 68.10/10.14 (unit = e2))) & ( ~ (v15 = e2) | (v2 = e3 & ~ (unit = e2))) & ( ~
% 68.10/10.14 (v14 = e2) | (v2 = e1 & ~ (unit = e2))) & ( ~ (v13 = e2) | (v2 = e0 &
% 68.10/10.14 ~ (unit = e2))) & ( ~ (v12 = e2) | (v10 = e4 & ~ (unit = e2))) & (
% 68.10/10.14 ~ (v11 = e2) | (v10 = e3 & ~ (unit = e2))) & ( ~ (v10 = e2) | ~
% 68.10/10.14 (unit = e2)) & ( ~ (v9 = e2) | (v10 = e0 & ~ (unit = e2))) & ( ~ (v8
% 68.10/10.14 = e2) | (v6 = e4 & ~ (unit = e2))) & ( ~ (v7 = e2) | (v6 = e3 & ~
% 68.10/10.14 (unit = e2))) & ( ~ (v6 = e2) | ~ (unit = e2)) & ( ~ (v5 = e2) |
% 68.10/10.14 (v6 = e1 & ~ (unit = e2))) & ( ~ (v4 = e2) | (v23 = e4 & ~ (unit =
% 68.10/10.14 e2))) & ( ~ (v3 = e2) | (v19 = e3 & ~ (unit = e2))) & ( ~ (v2 =
% 68.10/10.14 e2) | ~ (unit = e2)) & ( ~ (v1 = e2) | (v10 = e1 & ~ (unit = e2)))
% 68.22/10.14 & ( ~ (v0 = e2) | (v6 = e0 & ~ (unit = e2)))) | (( ~ (v24 = e1) | (v22
% 68.22/10.14 = e3 & ~ (unit = e1))) & ( ~ (v23 = e1) | (v22 = e2 & ~ (unit =
% 68.22/10.14 e1))) & ( ~ (v22 = e1) | ~ (unit = e1)) & ( ~ (v21 = e1) | (v22 =
% 68.22/10.14 e0 & ~ (unit = e1))) & ( ~ (v20 = e1) | (v18 = e4 & ~ (unit =
% 68.22/10.14 e1))) & ( ~ (v19 = e1) | (v18 = e2 & ~ (unit = e1))) & ( ~ (v18 =
% 68.22/10.14 e1) | ~ (unit = e1)) & ( ~ (v17 = e1) | (v18 = e0 & ~ (unit =
% 68.22/10.14 e1))) & ( ~ (v16 = e1) | (v14 = e4 & ~ (unit = e1))) & ( ~ (v15 =
% 68.22/10.14 e1) | (v14 = e3 & ~ (unit = e1))) & ( ~ (v14 = e1) | ~ (unit =
% 68.22/10.14 e1)) & ( ~ (v13 = e1) | (v14 = e0 & ~ (unit = e1))) & ( ~ (v12 =
% 68.22/10.14 e1) | (v1 = e4 & ~ (unit = e1))) & ( ~ (v11 = e1) | (v1 = e3 & ~
% 68.22/10.14 (unit = e1))) & ( ~ (v10 = e1) | (v1 = e2 & ~ (unit = e1))) & ( ~
% 68.22/10.14 (v9 = e1) | (v1 = e0 & ~ (unit = e1))) & ( ~ (v8 = e1) | (v5 = e4 &
% 68.22/10.14 ~ (unit = e1))) & ( ~ (v7 = e1) | (v5 = e3 & ~ (unit = e1))) & ( ~
% 68.22/10.14 (v6 = e1) | (v5 = e2 & ~ (unit = e1))) & ( ~ (v5 = e1) | ~ (unit =
% 68.22/10.14 e1)) & ( ~ (v4 = e1) | (v22 = e4 & ~ (unit = e1))) & ( ~ (v3 = e1)
% 68.22/10.14 | (v18 = e3 & ~ (unit = e1))) & ( ~ (v2 = e1) | (v14 = e2 & ~ (unit
% 68.22/10.14 = e1))) & ( ~ (v1 = e1) | ~ (unit = e1)) & ( ~ (v0 = e1) | (v5 =
% 68.22/10.14 e0 & ~ (unit = e1)))) | (( ~ (v24 = e0) | (v21 = e3 & ~ (unit =
% 68.22/10.14 e0))) & ( ~ (v23 = e0) | (v21 = e2 & ~ (unit = e0))) & ( ~ (v22 =
% 68.22/10.14 e0) | (v21 = e1 & ~ (unit = e0))) & ( ~ (v21 = e0) | ~ (unit =
% 68.22/10.14 e0)) & ( ~ (v20 = e0) | (v17 = e4 & ~ (unit = e0))) & ( ~ (v19 =
% 68.22/10.14 e0) | (v17 = e2 & ~ (unit = e0))) & ( ~ (v18 = e0) | (v17 = e1 & ~
% 68.22/10.14 (unit = e0))) & ( ~ (v17 = e0) | ~ (unit = e0)) & ( ~ (v16 = e0) |
% 68.22/10.14 (v13 = e4 & ~ (unit = e0))) & ( ~ (v15 = e0) | (v13 = e3 & ~ (unit =
% 68.22/10.14 e0))) & ( ~ (v14 = e0) | (v13 = e1 & ~ (unit = e0))) & ( ~ (v13 =
% 68.22/10.14 e0) | ~ (unit = e0)) & ( ~ (v12 = e0) | (v9 = e4 & ~ (unit = e0)))
% 68.22/10.14 & ( ~ (v11 = e0) | (v9 = e3 & ~ (unit = e0))) & ( ~ (v10 = e0) | (v9 =
% 68.22/10.14 e2 & ~ (unit = e0))) & ( ~ (v9 = e0) | ~ (unit = e0)) & ( ~ (v8 =
% 68.22/10.14 e0) | (v0 = e4 & ~ (unit = e0))) & ( ~ (v7 = e0) | (v0 = e3 & ~
% 68.22/10.14 (unit = e0))) & ( ~ (v6 = e0) | (v0 = e2 & ~ (unit = e0))) & ( ~
% 68.22/10.14 (v5 = e0) | (v0 = e1 & ~ (unit = e0))) & ( ~ (v4 = e0) | (v21 = e4 &
% 68.22/10.14 ~ (unit = e0))) & ( ~ (v3 = e0) | (v17 = e3 & ~ (unit = e0))) & ( ~
% 68.22/10.14 (v2 = e0) | (v13 = e2 & ~ (unit = e0))) & ( ~ (v1 = e0) | (v9 = e1 &
% 68.22/10.14 ~ (unit = e0))) & ( ~ (v0 = e0) | ~ (unit = e0)))))
% 68.22/10.14
% 68.22/10.14 (function-axioms)
% 68.22/10.14 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 68.22/10.14 v2) = v1) | ~ (op(v3, v2) = v0))
% 68.22/10.14
% 68.22/10.14 Those formulas are unsatisfiable:
% 68.22/10.14 ---------------------------------
% 68.22/10.14
% 68.22/10.14 Begin of proof
% 68.22/10.14 |
% 68.22/10.14 | ALPHA: (ax1) implies:
% 68.22/10.16 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 68.22/10.16 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 68.22/10.16 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 68.22/10.16 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 68.22/10.16 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 68.22/10.16 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 68.22/10.16 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 68.22/10.16 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 68.22/10.16 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 68.22/10.16 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 68.22/10.16 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 68.22/10.16 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 68.22/10.16 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 68.22/10.16 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 68.22/10.16 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 68.22/10.16 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 68.22/10.16 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 68.22/10.16 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 68.22/10.16 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 68.22/10.16 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 68.22/10.16 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 68.22/10.16 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 68.22/10.16 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 68.22/10.16 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 68.22/10.16 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 68.22/10.16 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 68.22/10.16 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 68.22/10.16 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 68.22/10.16 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 68.22/10.16 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 68.22/10.16 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 68.22/10.16 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 68.22/10.16 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 68.22/10.16 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 68.22/10.16 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 68.22/10.16 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 68.22/10.16 |
% 68.22/10.16 | ALPHA: (ax2) implies:
% 68.22/10.16 | (2) op(e0, unit) = e0
% 68.22/10.16 | (3) op(e1, unit) = e1
% 68.22/10.16 | (4) op(e2, unit) = e2
% 68.22/10.16 | (5) op(e3, unit) = e3
% 68.22/10.16 | (6) op(e4, unit) = e4
% 68.22/10.16 | (7) op(unit, e0) = e0
% 68.22/10.16 | (8) op(unit, e1) = e1
% 68.22/10.16 | (9) op(unit, e2) = e2
% 68.22/10.16 | (10) op(unit, e3) = e3
% 68.22/10.16 | (11) op(unit, e4) = e4
% 68.22/10.16 | (12) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 68.22/10.16 |
% 68.22/10.16 | ALPHA: (ax3) implies:
% 68.22/10.18 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 68.22/10.18 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 68.22/10.18 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 68.22/10.18 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 68.22/10.18 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 68.22/10.18 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 68.22/10.18 | v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3,
% 68.22/10.18 | e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7
% 68.22/10.18 | & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2,
% 68.22/10.18 | e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11
% 68.22/10.18 | & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4)
% 68.22/10.18 | = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0,
% 68.22/10.18 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 68.22/10.18 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 68.22/10.18 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 68.22/10.18 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 |
% 68.22/10.18 | v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 |
% 68.22/10.18 | v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 |
% 68.22/10.18 | v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 |
% 68.22/10.18 | v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) &
% 68.22/10.18 | (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 |
% 68.22/10.18 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 |
% 68.22/10.18 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 |
% 68.22/10.18 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 |
% 68.22/10.18 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 68.22/10.18 | (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 |
% 68.22/10.18 | v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 |
% 68.22/10.18 | v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 |
% 68.22/10.18 | v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 |
% 68.22/10.18 | v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) &
% 68.22/10.18 | (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 |
% 68.22/10.18 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 |
% 68.22/10.18 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 |
% 68.22/10.18 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 |
% 68.22/10.18 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 68.22/10.18 | (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 |
% 68.22/10.18 | v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 |
% 68.22/10.18 | v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 |
% 68.22/10.18 | v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 |
% 68.22/10.18 | v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) &
% 68.22/10.18 | (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 |
% 68.22/10.18 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 |
% 68.22/10.18 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 |
% 68.22/10.18 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 |
% 68.22/10.18 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 68.22/10.18 | (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 |
% 68.22/10.18 | v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 |
% 68.22/10.18 | v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 |
% 68.22/10.18 | v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 |
% 68.22/10.18 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8
% 68.22/10.18 | = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2
% 68.22/10.18 | | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5
% 68.22/10.18 | = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 =
% 68.22/10.18 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2
% 68.22/10.18 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2
% 68.22/10.18 | = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 =
% 68.22/10.18 | e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 68.22/10.18 |
% 68.22/10.18 | ALPHA: (ax4) implies:
% 68.66/10.23 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 68.66/10.23 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 68.66/10.23 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 68.66/10.23 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 68.66/10.23 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 68.66/10.23 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 68.66/10.23 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~
% 68.66/10.23 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~
% 68.66/10.23 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~
% 68.66/10.23 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~
% 68.66/10.23 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~
% 68.66/10.23 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~
% 68.66/10.23 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~
% 68.66/10.23 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~
% 68.66/10.23 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~
% 68.66/10.23 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~
% 68.66/10.23 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~
% 68.66/10.23 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~
% 68.66/10.23 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~
% 68.66/10.23 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~
% 68.66/10.23 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~
% 68.66/10.23 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~
% 68.66/10.23 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~
% 68.66/10.23 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9
% 68.66/10.23 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4)
% 68.66/10.23 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7
% 68.66/10.23 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1)
% 68.66/10.23 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4
% 68.66/10.23 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1)
% 68.66/10.23 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 68.66/10.23 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 68.66/10.23 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 68.66/10.23 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 68.66/10.23 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 68.66/10.23 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 68.66/10.23 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 68.66/10.23 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 68.66/10.23 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 68.66/10.23 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 68.66/10.23 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 68.66/10.23 |
% 68.66/10.23 | ALPHA: (ax5) implies:
% 68.66/10.23 | (15) ~ (e1 = e0)
% 68.66/10.23 | (16) ~ (e2 = e0)
% 68.66/10.23 | (17) ~ (e2 = e1)
% 68.66/10.23 | (18) ~ (e3 = e1)
% 68.66/10.23 | (19) ~ (e4 = e1)
% 68.66/10.23 | (20) ~ (e4 = e2)
% 68.66/10.23 | (21) ~ (e4 = e3)
% 68.66/10.23 |
% 68.66/10.23 | ALPHA: (ax6) implies:
% 68.66/10.23 | (22) op(e1, e1) = e4
% 68.66/10.23 | (23) op(e1, e2) = e0
% 68.66/10.23 | (24) op(e2, e2) = e3
% 68.66/10.23 | (25) op(e4, e4) = e2
% 68.66/10.23 |
% 68.66/10.23 | ALPHA: (co1) implies:
% 68.66/10.26 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 68.66/10.26 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 68.66/10.26 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 68.66/10.26 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 68.66/10.26 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 68.66/10.26 | : ? [v24: $i] : (op(e4, e4) = v4 & op(e4, e3) = v24 & op(e4, e2) =
% 68.66/10.26 | v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v20 &
% 68.66/10.26 | op(e3, e3) = v3 & op(e3, e2) = v19 & op(e3, e1) = v18 & op(e3, e0) =
% 68.66/10.26 | v17 & op(e2, e4) = v16 & op(e2, e3) = v15 & op(e2, e2) = v2 & op(e2,
% 68.66/10.26 | e1) = v14 & op(e2, e0) = v13 & op(e1, e4) = v12 & op(e1, e3) = v11
% 68.66/10.26 | & op(e1, e2) = v10 & op(e1, e1) = v1 & op(e1, e0) = v9 & op(e0, e4)
% 68.66/10.26 | = v8 & op(e0, e3) = v7 & op(e0, e2) = v6 & op(e0, e1) = v5 & op(e0,
% 68.66/10.26 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 68.66/10.26 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 68.66/10.26 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 68.66/10.26 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v4 = e4 | v3
% 68.66/10.26 | = e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3
% 68.66/10.26 | | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0
% 68.66/10.26 | = e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v4 =
% 68.66/10.26 | e0 | v3 = e0 | v2 = e0 | v1 = e0 | v0 = e0) & ((( ~ (v24 = e4) |
% 68.66/10.26 | (v4 = e3 & ~ (unit = e4))) & ( ~ (v23 = e4) | (v4 = e2 & ~
% 68.66/10.26 | (unit = e4))) & ( ~ (v22 = e4) | (v4 = e1 & ~ (unit = e4)))
% 68.66/10.26 | & ( ~ (v21 = e4) | (v4 = e0 & ~ (unit = e4))) & ( ~ (v20 = e4)
% 68.66/10.26 | | ~ (unit = e4)) & ( ~ (v19 = e4) | (v20 = e2 & ~ (unit =
% 68.66/10.26 | e4))) & ( ~ (v18 = e4) | (v20 = e1 & ~ (unit = e4))) & (
% 68.66/10.26 | ~ (v17 = e4) | (v20 = e0 & ~ (unit = e4))) & ( ~ (v16 = e4) |
% 68.66/10.26 | ~ (unit = e4)) & ( ~ (v15 = e4) | (v16 = e3 & ~ (unit =
% 68.66/10.26 | e4))) & ( ~ (v14 = e4) | (v16 = e1 & ~ (unit = e4))) & (
% 68.66/10.26 | ~ (v13 = e4) | (v16 = e0 & ~ (unit = e4))) & ( ~ (v12 = e4) |
% 68.66/10.26 | ~ (unit = e4)) & ( ~ (v11 = e4) | (v12 = e3 & ~ (unit =
% 68.66/10.26 | e4))) & ( ~ (v10 = e4) | (v12 = e2 & ~ (unit = e4))) & (
% 68.66/10.26 | ~ (v9 = e4) | (v12 = e0 & ~ (unit = e4))) & ( ~ (v8 = e4) |
% 68.66/10.26 | ~ (unit = e4)) & ( ~ (v7 = e4) | (v8 = e3 & ~ (unit = e4))) &
% 68.66/10.26 | ( ~ (v6 = e4) | (v8 = e2 & ~ (unit = e4))) & ( ~ (v5 = e4) |
% 68.66/10.26 | (v8 = e1 & ~ (unit = e4))) & ( ~ (v4 = e4) | ~ (unit = e4))
% 68.66/10.26 | & ( ~ (v3 = e4) | (v20 = e3 & ~ (unit = e4))) & ( ~ (v2 = e4) |
% 68.66/10.26 | (v16 = e2 & ~ (unit = e4))) & ( ~ (v1 = e4) | (v12 = e1 & ~
% 68.66/10.26 | (unit = e4))) & ( ~ (v0 = e4) | (v8 = e0 & ~ (unit = e4))))
% 68.66/10.27 | | (( ~ (v24 = e3) | ~ (unit = e3)) & ( ~ (v23 = e3) | (v24 = e2 &
% 68.66/10.27 | ~ (unit = e3))) & ( ~ (v22 = e3) | (v24 = e1 & ~ (unit =
% 68.66/10.27 | e3))) & ( ~ (v21 = e3) | (v24 = e0 & ~ (unit = e3))) & (
% 68.66/10.27 | ~ (v20 = e3) | (v3 = e4 & ~ (unit = e3))) & ( ~ (v19 = e3) |
% 68.66/10.27 | (v3 = e2 & ~ (unit = e3))) & ( ~ (v18 = e3) | (v3 = e1 & ~
% 68.66/10.27 | (unit = e3))) & ( ~ (v17 = e3) | (v3 = e0 & ~ (unit = e3)))
% 68.66/10.27 | & ( ~ (v16 = e3) | (v15 = e4 & ~ (unit = e3))) & ( ~ (v15 = e3)
% 68.66/10.27 | | ~ (unit = e3)) & ( ~ (v14 = e3) | (v15 = e1 & ~ (unit =
% 68.66/10.27 | e3))) & ( ~ (v13 = e3) | (v15 = e0 & ~ (unit = e3))) & (
% 68.66/10.27 | ~ (v12 = e3) | (v11 = e4 & ~ (unit = e3))) & ( ~ (v11 = e3) |
% 68.66/10.27 | ~ (unit = e3)) & ( ~ (v10 = e3) | (v11 = e2 & ~ (unit =
% 68.66/10.27 | e3))) & ( ~ (v9 = e3) | (v11 = e0 & ~ (unit = e3))) & ( ~
% 68.66/10.27 | (v8 = e3) | (v7 = e4 & ~ (unit = e3))) & ( ~ (v7 = e3) | ~
% 68.66/10.27 | (unit = e3)) & ( ~ (v6 = e3) | (v7 = e2 & ~ (unit = e3))) & (
% 68.66/10.27 | ~ (v5 = e3) | (v7 = e1 & ~ (unit = e3))) & ( ~ (v4 = e3) |
% 68.66/10.27 | (v24 = e4 & ~ (unit = e3))) & ( ~ (v3 = e3) | ~ (unit = e3))
% 68.66/10.27 | & ( ~ (v2 = e3) | (v15 = e2 & ~ (unit = e3))) & ( ~ (v1 = e3) |
% 68.66/10.27 | (v11 = e1 & ~ (unit = e3))) & ( ~ (v0 = e3) | (v7 = e0 & ~
% 68.66/10.27 | (unit = e3)))) | (( ~ (v24 = e2) | (v23 = e3 & ~ (unit =
% 68.66/10.27 | e2))) & ( ~ (v23 = e2) | ~ (unit = e2)) & ( ~ (v22 = e2)
% 68.66/10.27 | | (v23 = e1 & ~ (unit = e2))) & ( ~ (v21 = e2) | (v23 = e0 &
% 68.66/10.27 | ~ (unit = e2))) & ( ~ (v20 = e2) | (v19 = e4 & ~ (unit =
% 68.66/10.27 | e2))) & ( ~ (v19 = e2) | ~ (unit = e2)) & ( ~ (v18 = e2)
% 68.66/10.27 | | (v19 = e1 & ~ (unit = e2))) & ( ~ (v17 = e2) | (v19 = e0 &
% 68.66/10.27 | ~ (unit = e2))) & ( ~ (v16 = e2) | (v2 = e4 & ~ (unit =
% 68.66/10.27 | e2))) & ( ~ (v15 = e2) | (v2 = e3 & ~ (unit = e2))) & ( ~
% 68.66/10.27 | (v14 = e2) | (v2 = e1 & ~ (unit = e2))) & ( ~ (v13 = e2) |
% 68.66/10.27 | (v2 = e0 & ~ (unit = e2))) & ( ~ (v12 = e2) | (v10 = e4 & ~
% 68.66/10.27 | (unit = e2))) & ( ~ (v11 = e2) | (v10 = e3 & ~ (unit =
% 68.66/10.27 | e2))) & ( ~ (v10 = e2) | ~ (unit = e2)) & ( ~ (v9 = e2) |
% 68.66/10.27 | (v10 = e0 & ~ (unit = e2))) & ( ~ (v8 = e2) | (v6 = e4 & ~
% 68.66/10.27 | (unit = e2))) & ( ~ (v7 = e2) | (v6 = e3 & ~ (unit = e2)))
% 68.66/10.27 | & ( ~ (v6 = e2) | ~ (unit = e2)) & ( ~ (v5 = e2) | (v6 = e1 &
% 68.66/10.27 | ~ (unit = e2))) & ( ~ (v4 = e2) | (v23 = e4 & ~ (unit =
% 68.66/10.27 | e2))) & ( ~ (v3 = e2) | (v19 = e3 & ~ (unit = e2))) & ( ~
% 68.66/10.27 | (v2 = e2) | ~ (unit = e2)) & ( ~ (v1 = e2) | (v10 = e1 & ~
% 68.66/10.27 | (unit = e2))) & ( ~ (v0 = e2) | (v6 = e0 & ~ (unit = e2))))
% 68.66/10.27 | | (( ~ (v24 = e1) | (v22 = e3 & ~ (unit = e1))) & ( ~ (v23 = e1)
% 68.66/10.27 | | (v22 = e2 & ~ (unit = e1))) & ( ~ (v22 = e1) | ~ (unit =
% 68.66/10.27 | e1)) & ( ~ (v21 = e1) | (v22 = e0 & ~ (unit = e1))) & ( ~
% 68.66/10.27 | (v20 = e1) | (v18 = e4 & ~ (unit = e1))) & ( ~ (v19 = e1) |
% 68.66/10.27 | (v18 = e2 & ~ (unit = e1))) & ( ~ (v18 = e1) | ~ (unit =
% 68.66/10.27 | e1)) & ( ~ (v17 = e1) | (v18 = e0 & ~ (unit = e1))) & ( ~
% 68.66/10.27 | (v16 = e1) | (v14 = e4 & ~ (unit = e1))) & ( ~ (v15 = e1) |
% 68.66/10.27 | (v14 = e3 & ~ (unit = e1))) & ( ~ (v14 = e1) | ~ (unit =
% 68.66/10.27 | e1)) & ( ~ (v13 = e1) | (v14 = e0 & ~ (unit = e1))) & ( ~
% 68.66/10.27 | (v12 = e1) | (v1 = e4 & ~ (unit = e1))) & ( ~ (v11 = e1) |
% 68.66/10.27 | (v1 = e3 & ~ (unit = e1))) & ( ~ (v10 = e1) | (v1 = e2 & ~
% 68.66/10.27 | (unit = e1))) & ( ~ (v9 = e1) | (v1 = e0 & ~ (unit = e1)))
% 68.66/10.27 | & ( ~ (v8 = e1) | (v5 = e4 & ~ (unit = e1))) & ( ~ (v7 = e1) |
% 68.66/10.27 | (v5 = e3 & ~ (unit = e1))) & ( ~ (v6 = e1) | (v5 = e2 & ~
% 68.66/10.27 | (unit = e1))) & ( ~ (v5 = e1) | ~ (unit = e1)) & ( ~ (v4 =
% 68.66/10.27 | e1) | (v22 = e4 & ~ (unit = e1))) & ( ~ (v3 = e1) | (v18 =
% 68.66/10.27 | e3 & ~ (unit = e1))) & ( ~ (v2 = e1) | (v14 = e2 & ~ (unit
% 68.66/10.27 | = e1))) & ( ~ (v1 = e1) | ~ (unit = e1)) & ( ~ (v0 = e1)
% 68.66/10.27 | | (v5 = e0 & ~ (unit = e1)))) | (( ~ (v24 = e0) | (v21 = e3 &
% 68.66/10.27 | ~ (unit = e0))) & ( ~ (v23 = e0) | (v21 = e2 & ~ (unit =
% 68.66/10.27 | e0))) & ( ~ (v22 = e0) | (v21 = e1 & ~ (unit = e0))) & (
% 68.66/10.27 | ~ (v21 = e0) | ~ (unit = e0)) & ( ~ (v20 = e0) | (v17 = e4 &
% 68.66/10.27 | ~ (unit = e0))) & ( ~ (v19 = e0) | (v17 = e2 & ~ (unit =
% 68.66/10.27 | e0))) & ( ~ (v18 = e0) | (v17 = e1 & ~ (unit = e0))) & (
% 68.66/10.27 | ~ (v17 = e0) | ~ (unit = e0)) & ( ~ (v16 = e0) | (v13 = e4 &
% 68.66/10.27 | ~ (unit = e0))) & ( ~ (v15 = e0) | (v13 = e3 & ~ (unit =
% 68.66/10.27 | e0))) & ( ~ (v14 = e0) | (v13 = e1 & ~ (unit = e0))) & (
% 68.66/10.27 | ~ (v13 = e0) | ~ (unit = e0)) & ( ~ (v12 = e0) | (v9 = e4 &
% 68.66/10.27 | ~ (unit = e0))) & ( ~ (v11 = e0) | (v9 = e3 & ~ (unit =
% 68.66/10.27 | e0))) & ( ~ (v10 = e0) | (v9 = e2 & ~ (unit = e0))) & ( ~
% 68.66/10.27 | (v9 = e0) | ~ (unit = e0)) & ( ~ (v8 = e0) | (v0 = e4 & ~
% 68.66/10.27 | (unit = e0))) & ( ~ (v7 = e0) | (v0 = e3 & ~ (unit = e0)))
% 68.66/10.27 | & ( ~ (v6 = e0) | (v0 = e2 & ~ (unit = e0))) & ( ~ (v5 = e0) |
% 68.66/10.27 | (v0 = e1 & ~ (unit = e0))) & ( ~ (v4 = e0) | (v21 = e4 & ~
% 68.66/10.27 | (unit = e0))) & ( ~ (v3 = e0) | (v17 = e3 & ~ (unit = e0)))
% 68.66/10.27 | & ( ~ (v2 = e0) | (v13 = e2 & ~ (unit = e0))) & ( ~ (v1 = e0) |
% 68.66/10.27 | (v9 = e1 & ~ (unit = e0))) & ( ~ (v0 = e0) | ~ (unit =
% 68.66/10.27 | e0)))))
% 68.66/10.27 |
% 68.66/10.27 | DELTA: instantiating (14) with fresh symbols all_4_0, all_4_1, all_4_2,
% 68.66/10.27 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 68.66/10.27 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 68.66/10.27 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 68.66/10.27 | all_4_24 gives:
% 68.66/10.28 | (27) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 =
% 68.66/10.28 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~
% 68.66/10.28 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 =
% 68.66/10.28 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~
% 68.66/10.28 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11)
% 68.66/10.28 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 =
% 68.66/10.28 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~
% 68.66/10.28 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 =
% 68.66/10.28 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~
% 68.66/10.28 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 =
% 68.66/10.28 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~
% 68.66/10.28 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 =
% 68.66/10.28 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~
% 68.66/10.28 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 =
% 68.66/10.28 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~
% 68.66/10.28 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11)
% 68.66/10.28 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 =
% 68.66/10.28 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~
% 68.66/10.28 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 =
% 68.66/10.28 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~
% 68.66/10.28 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 =
% 68.66/10.28 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~
% 68.66/10.28 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 =
% 68.66/10.28 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~
% 68.66/10.28 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 =
% 68.66/10.28 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~
% 68.66/10.28 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 =
% 68.66/10.28 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~
% 68.66/10.28 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 =
% 68.66/10.28 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~
% 68.66/10.28 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 =
% 68.66/10.28 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~
% 68.66/10.28 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 =
% 68.66/10.28 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~
% 68.66/10.28 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 =
% 68.66/10.28 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~
% 68.66/10.28 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 =
% 68.66/10.28 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~
% 68.66/10.28 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 =
% 68.66/10.28 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 68.66/10.28 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 68.66/10.28 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 68.66/10.28 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 68.66/10.28 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 68.66/10.28 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 68.66/10.28 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 68.66/10.28 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 68.66/10.28 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 68.66/10.28 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 68.66/10.28 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 68.66/10.28 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 68.66/10.28 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 68.66/10.28 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 68.66/10.28 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 68.66/10.28 |
% 68.66/10.28 | ALPHA: (27) implies:
% 68.66/10.28 | (28) ~ (all_4_23 = all_4_24)
% 68.66/10.28 | (29) ~ (all_4_22 = all_4_24)
% 68.66/10.28 | (30) ~ (all_4_22 = all_4_23)
% 68.66/10.28 | (31) ~ (all_4_21 = all_4_24)
% 68.66/10.28 | (32) ~ (all_4_21 = all_4_23)
% 68.66/10.28 | (33) ~ (all_4_21 = all_4_22)
% 68.66/10.28 | (34) ~ (all_4_20 = all_4_24)
% 68.66/10.28 | (35) ~ (all_4_20 = all_4_23)
% 68.66/10.28 | (36) ~ (all_4_20 = all_4_22)
% 68.66/10.28 | (37) ~ (all_4_20 = all_4_21)
% 68.66/10.28 | (38) ~ (all_4_19 = all_4_24)
% 68.66/10.28 | (39) ~ (all_4_18 = all_4_23)
% 68.66/10.28 | (40) ~ (all_4_18 = all_4_19)
% 68.66/10.28 | (41) ~ (all_4_17 = all_4_22)
% 68.66/10.28 | (42) ~ (all_4_17 = all_4_19)
% 68.66/10.28 | (43) ~ (all_4_17 = all_4_18)
% 68.66/10.28 | (44) ~ (all_4_16 = all_4_21)
% 68.66/10.28 | (45) ~ (all_4_16 = all_4_18)
% 68.66/10.28 | (46) ~ (all_4_16 = all_4_17)
% 68.66/10.28 | (47) ~ (all_4_15 = all_4_20)
% 68.66/10.28 | (48) ~ (all_4_15 = all_4_19)
% 68.66/10.28 | (49) ~ (all_4_15 = all_4_18)
% 68.66/10.28 | (50) ~ (all_4_15 = all_4_17)
% 68.66/10.28 | (51) ~ (all_4_15 = all_4_16)
% 68.66/10.28 | (52) ~ (all_4_14 = all_4_24)
% 68.66/10.28 | (53) ~ (all_4_14 = all_4_19)
% 68.66/10.28 | (54) ~ (all_4_13 = all_4_23)
% 68.66/10.28 | (55) ~ (all_4_13 = all_4_18)
% 68.66/10.28 | (56) ~ (all_4_13 = all_4_14)
% 68.66/10.28 | (57) ~ (all_4_12 = all_4_22)
% 68.66/10.28 | (58) ~ (all_4_12 = all_4_17)
% 68.66/10.28 | (59) ~ (all_4_12 = all_4_14)
% 68.66/10.28 | (60) ~ (all_4_12 = all_4_13)
% 68.66/10.28 | (61) ~ (all_4_11 = all_4_21)
% 68.92/10.28 | (62) ~ (all_4_11 = all_4_16)
% 68.92/10.28 | (63) ~ (all_4_11 = all_4_14)
% 68.92/10.28 | (64) ~ (all_4_11 = all_4_13)
% 68.92/10.28 | (65) ~ (all_4_11 = all_4_12)
% 68.92/10.28 | (66) ~ (all_4_10 = all_4_20)
% 68.92/10.28 | (67) ~ (all_4_10 = all_4_15)
% 68.92/10.28 | (68) ~ (all_4_10 = all_4_14)
% 68.92/10.28 | (69) ~ (all_4_10 = all_4_13)
% 68.92/10.28 | (70) ~ (all_4_10 = all_4_12)
% 68.92/10.29 | (71) ~ (all_4_10 = all_4_11)
% 68.92/10.29 | (72) ~ (all_4_9 = all_4_24)
% 68.92/10.29 | (73) ~ (all_4_9 = all_4_19)
% 68.92/10.29 | (74) ~ (all_4_9 = all_4_14)
% 68.92/10.29 | (75) ~ (all_4_8 = all_4_23)
% 68.92/10.29 | (76) ~ (all_4_8 = all_4_18)
% 68.92/10.29 | (77) ~ (all_4_8 = all_4_13)
% 68.92/10.29 | (78) ~ (all_4_8 = all_4_9)
% 68.92/10.29 | (79) ~ (all_4_7 = all_4_22)
% 68.92/10.29 | (80) ~ (all_4_7 = all_4_17)
% 68.92/10.29 | (81) ~ (all_4_7 = all_4_12)
% 68.92/10.29 | (82) ~ (all_4_7 = all_4_9)
% 68.92/10.29 | (83) ~ (all_4_7 = all_4_8)
% 68.92/10.29 | (84) ~ (all_4_6 = all_4_21)
% 68.92/10.29 | (85) ~ (all_4_6 = all_4_16)
% 68.92/10.29 | (86) ~ (all_4_6 = all_4_11)
% 68.92/10.29 | (87) ~ (all_4_6 = all_4_9)
% 68.92/10.29 | (88) ~ (all_4_6 = all_4_8)
% 68.92/10.29 | (89) ~ (all_4_6 = all_4_7)
% 68.92/10.29 | (90) ~ (all_4_5 = all_4_20)
% 68.92/10.29 | (91) ~ (all_4_5 = all_4_15)
% 68.92/10.29 | (92) ~ (all_4_5 = all_4_10)
% 68.92/10.29 | (93) ~ (all_4_5 = all_4_9)
% 68.92/10.29 | (94) ~ (all_4_5 = all_4_8)
% 68.92/10.29 | (95) ~ (all_4_5 = all_4_7)
% 68.92/10.29 | (96) ~ (all_4_5 = all_4_6)
% 68.92/10.29 | (97) ~ (all_4_4 = all_4_24)
% 68.92/10.29 | (98) ~ (all_4_4 = all_4_19)
% 68.92/10.29 | (99) ~ (all_4_4 = all_4_14)
% 68.92/10.29 | (100) ~ (all_4_4 = all_4_9)
% 68.92/10.29 | (101) ~ (all_4_3 = all_4_23)
% 68.92/10.29 | (102) ~ (all_4_3 = all_4_18)
% 68.92/10.29 | (103) ~ (all_4_3 = all_4_13)
% 68.92/10.29 | (104) ~ (all_4_3 = all_4_8)
% 68.92/10.29 | (105) ~ (all_4_3 = all_4_4)
% 68.92/10.29 | (106) ~ (all_4_2 = all_4_22)
% 68.92/10.29 | (107) ~ (all_4_2 = all_4_17)
% 68.92/10.29 | (108) ~ (all_4_2 = all_4_12)
% 68.92/10.29 | (109) ~ (all_4_2 = all_4_7)
% 68.92/10.29 | (110) ~ (all_4_2 = all_4_4)
% 68.92/10.29 | (111) ~ (all_4_2 = all_4_3)
% 68.92/10.29 | (112) ~ (all_4_1 = all_4_21)
% 68.92/10.29 | (113) ~ (all_4_1 = all_4_16)
% 68.92/10.29 | (114) ~ (all_4_1 = all_4_11)
% 68.92/10.29 | (115) ~ (all_4_1 = all_4_6)
% 68.92/10.29 | (116) ~ (all_4_1 = all_4_4)
% 68.92/10.29 | (117) ~ (all_4_1 = all_4_3)
% 68.92/10.29 | (118) ~ (all_4_1 = all_4_2)
% 68.92/10.29 | (119) ~ (all_4_0 = all_4_20)
% 68.92/10.29 | (120) ~ (all_4_0 = all_4_15)
% 68.92/10.29 | (121) ~ (all_4_0 = all_4_10)
% 68.92/10.29 | (122) ~ (all_4_0 = all_4_5)
% 68.92/10.29 | (123) ~ (all_4_0 = all_4_4)
% 68.92/10.29 | (124) ~ (all_4_0 = all_4_3)
% 68.92/10.29 | (125) ~ (all_4_0 = all_4_2)
% 68.92/10.29 | (126) ~ (all_4_0 = all_4_1)
% 68.92/10.29 | (127) op(e0, e0) = all_4_24
% 68.92/10.29 | (128) op(e0, e1) = all_4_19
% 68.92/10.29 | (129) op(e0, e2) = all_4_14
% 68.92/10.29 | (130) op(e0, e3) = all_4_9
% 68.92/10.29 | (131) op(e0, e4) = all_4_4
% 68.92/10.29 | (132) op(e1, e0) = all_4_23
% 68.92/10.29 | (133) op(e1, e1) = all_4_18
% 68.92/10.29 | (134) op(e1, e2) = all_4_13
% 68.92/10.29 | (135) op(e1, e3) = all_4_8
% 68.92/10.29 | (136) op(e1, e4) = all_4_3
% 68.92/10.29 | (137) op(e2, e0) = all_4_22
% 68.92/10.29 | (138) op(e2, e1) = all_4_17
% 68.92/10.29 | (139) op(e2, e2) = all_4_12
% 68.92/10.29 | (140) op(e2, e3) = all_4_7
% 68.92/10.29 | (141) op(e2, e4) = all_4_2
% 68.92/10.29 | (142) op(e3, e0) = all_4_21
% 68.92/10.29 | (143) op(e3, e1) = all_4_16
% 68.92/10.29 | (144) op(e3, e2) = all_4_11
% 68.92/10.29 | (145) op(e3, e3) = all_4_6
% 68.92/10.29 | (146) op(e3, e4) = all_4_1
% 68.92/10.29 | (147) op(e4, e0) = all_4_20
% 68.92/10.30 | (148) op(e4, e1) = all_4_15
% 68.92/10.30 | (149) op(e4, e2) = all_4_10
% 68.92/10.30 | (150) op(e4, e3) = all_4_5
% 68.92/10.30 | (151) op(e4, e4) = all_4_0
% 68.92/10.30 |
% 68.92/10.30 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 68.92/10.30 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 68.92/10.30 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 68.92/10.30 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 68.92/10.30 | all_6_24 gives:
% 68.92/10.30 | (152) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 68.92/10.30 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 68.92/10.30 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 68.92/10.30 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 68.92/10.30 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 68.92/10.30 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 68.92/10.30 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 68.92/10.30 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 68.92/10.30 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 68.92/10.30 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 68.92/10.30 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 68.92/10.30 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 68.92/10.30 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 68.92/10.30 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 68.92/10.30 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 68.92/10.30 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 68.92/10.30 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 68.92/10.30 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 68.92/10.30 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 68.92/10.30 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 68.92/10.30 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 68.92/10.30 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 68.92/10.30 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 68.92/10.30 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 68.92/10.30 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 68.92/10.30 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 68.92/10.30 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 68.92/10.30 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 68.92/10.30 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 68.92/10.30 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 68.92/10.30 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 68.92/10.30 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 68.92/10.30 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 68.92/10.30 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 68.92/10.30 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 68.92/10.30 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 68.92/10.30 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 68.92/10.30 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 68.92/10.30 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 68.92/10.30 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 68.92/10.30 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 68.92/10.30 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 68.92/10.30 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 68.92/10.30 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 68.92/10.30 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 68.92/10.30 |
% 68.92/10.30 | ALPHA: (152) implies:
% 68.92/10.31 | (153) op(e0, e1) = all_6_23
% 68.92/10.31 | (154) op(e0, e2) = all_6_22
% 68.92/10.31 | (155) op(e0, e3) = all_6_21
% 68.92/10.31 | (156) op(e0, e4) = all_6_20
% 68.92/10.31 | (157) op(e1, e0) = all_6_19
% 68.92/10.31 | (158) op(e1, e1) = all_6_18
% 68.92/10.31 | (159) op(e1, e2) = all_6_17
% 68.92/10.31 | (160) op(e1, e3) = all_6_16
% 68.92/10.31 | (161) op(e1, e4) = all_6_15
% 68.92/10.31 | (162) op(e2, e0) = all_6_14
% 68.92/10.31 | (163) op(e2, e1) = all_6_13
% 68.92/10.31 | (164) op(e2, e2) = all_6_12
% 68.92/10.31 | (165) op(e2, e3) = all_6_11
% 68.92/10.31 | (166) op(e2, e4) = all_6_10
% 68.92/10.31 | (167) op(e3, e0) = all_6_9
% 68.92/10.31 | (168) op(e3, e1) = all_6_8
% 68.92/10.31 | (169) op(e3, e2) = all_6_7
% 68.92/10.31 | (170) op(e3, e3) = all_6_6
% 68.92/10.31 | (171) op(e3, e4) = all_6_5
% 68.92/10.31 | (172) op(e4, e0) = all_6_4
% 68.92/10.31 | (173) op(e4, e1) = all_6_3
% 68.92/10.31 | (174) op(e4, e2) = all_6_2
% 68.92/10.31 | (175) op(e4, e3) = all_6_1
% 68.92/10.31 | (176) op(e4, e4) = all_6_0
% 68.92/10.31 | (177) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 68.92/10.31 | all_6_22 = e0
% 68.92/10.31 | (178) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 68.92/10.31 | all_6_21 = e0
% 68.92/10.31 | (179) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 68.92/10.31 | all_6_20 = e0
% 68.92/10.31 | (180) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 |
% 68.92/10.31 | all_6_19 = e0
% 68.92/10.31 | (181) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 68.92/10.31 | all_6_16 = e0
% 68.92/10.31 | (182) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 68.92/10.31 | all_6_15 = e0
% 68.92/10.31 | (183) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 68.92/10.31 | all_6_13 = e0
% 68.92/10.31 | (184) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 68.92/10.31 | all_6_11 = e0
% 68.92/10.31 | (185) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 68.92/10.31 | all_6_10 = e0
% 68.92/10.31 | (186) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 68.92/10.31 | e0
% 68.92/10.31 | (187) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 68.92/10.31 | e0
% 68.92/10.31 | (188) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 68.92/10.31 | e0
% 68.92/10.31 | (189) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 68.92/10.31 | e0
% 68.92/10.31 | (190) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 68.92/10.31 | e0
% 68.92/10.31 | (191) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 68.92/10.31 | e0
% 68.92/10.31 | (192) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 68.92/10.31 | e0
% 68.92/10.32 | (193) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 68.92/10.32 | e0
% 68.92/10.32 |
% 68.92/10.32 | DELTA: instantiating (13) with fresh symbols all_8_0, all_8_1, all_8_2,
% 68.92/10.32 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 68.92/10.32 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 68.92/10.32 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 68.92/10.32 | all_8_24 gives:
% 68.92/10.33 | (194) op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_4 &
% 68.92/10.33 | op(e4, e1) = all_8_9 & op(e4, e0) = all_8_16 & op(e3, e4) = all_8_2 &
% 68.92/10.33 | op(e3, e3) = all_8_3 & op(e3, e2) = all_8_5 & op(e3, e1) = all_8_10 &
% 68.92/10.33 | op(e3, e0) = all_8_17 & op(e2, e4) = all_8_6 & op(e2, e3) = all_8_7 &
% 68.92/10.33 | op(e2, e2) = all_8_8 & op(e2, e1) = all_8_11 & op(e2, e0) = all_8_18
% 68.92/10.33 | & op(e1, e4) = all_8_12 & op(e1, e3) = all_8_13 & op(e1, e2) =
% 68.92/10.33 | all_8_14 & op(e1, e1) = all_8_15 & op(e1, e0) = all_8_19 & op(e0, e4)
% 68.92/10.33 | = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & op(e0,
% 68.92/10.33 | e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & $i(all_8_1)
% 68.92/10.33 | & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6)
% 68.92/10.33 | & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) &
% 68.92/10.33 | $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) &
% 68.92/10.33 | $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) &
% 68.92/10.33 | $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) &
% 68.92/10.33 | $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_1 = e4 | all_8_4
% 68.92/10.33 | = e4 | all_8_9 = e4 | all_8_16 = e4) & (all_8_0 = e4 | all_8_2 = e4
% 68.92/10.33 | | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4) & (all_8_0 = e3 |
% 68.92/10.33 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3) &
% 68.92/10.33 | (all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 68.92/10.33 | all_8_20 = e3) & (all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 |
% 68.92/10.33 | all_8_9 = e2 | all_8_16 = e2) & (all_8_0 = e2 | all_8_2 = e2 |
% 68.92/10.33 | all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2) & (all_8_0 = e1 |
% 68.92/10.33 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1) &
% 68.92/10.33 | (all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 68.92/10.33 | all_8_20 = e1) & (all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 |
% 68.92/10.33 | all_8_9 = e0 | all_8_16 = e0) & (all_8_0 = e0 | all_8_2 = e0 |
% 68.92/10.33 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0) & (all_8_1 = e4 |
% 68.92/10.33 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4) &
% 68.92/10.33 | (all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 68.92/10.33 | all_8_21 = e3) & (all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 |
% 68.92/10.33 | all_8_13 = e2 | all_8_21 = e2) & (all_8_1 = e1 | all_8_3 = e1 |
% 68.92/10.33 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1) & (all_8_1 = e0 |
% 68.92/10.33 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0) &
% 68.92/10.33 | (all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 68.92/10.33 | all_8_17 = e4) & (all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 |
% 68.92/10.33 | all_8_10 = e3 | all_8_17 = e3) & (all_8_2 = e2 | all_8_3 = e2 |
% 68.92/10.33 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2) & (all_8_2 = e1 |
% 68.92/10.33 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1) &
% 68.92/10.33 | (all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 68.92/10.33 | all_8_17 = e0) & (all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 |
% 68.92/10.33 | all_8_14 = e4 | all_8_22 = e4) & (all_8_4 = e3 | all_8_5 = e3 |
% 68.92/10.33 | all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3) & (all_8_4 = e2 |
% 68.92/10.33 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2) &
% 68.92/10.33 | (all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 68.92/10.33 | all_8_22 = e1) & (all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 |
% 68.92/10.33 | all_8_14 = e0 | all_8_22 = e0) & (all_8_6 = e4 | all_8_7 = e4 |
% 68.92/10.33 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4) & (all_8_6 = e3 |
% 68.92/10.33 | all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3) &
% 68.92/10.33 | (all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 68.92/10.33 | all_8_18 = e2) & (all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 |
% 68.92/10.33 | all_8_11 = e1 | all_8_18 = e1) & (all_8_6 = e0 | all_8_7 = e0 |
% 68.92/10.33 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0) & (all_8_9 = e4 |
% 68.92/10.33 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4) &
% 68.92/10.33 | (all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 68.92/10.33 | all_8_23 = e3) & (all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 |
% 68.92/10.33 | all_8_15 = e2 | all_8_23 = e2) & (all_8_9 = e1 | all_8_10 = e1 |
% 68.92/10.33 | all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1) & (all_8_9 = e0 |
% 68.92/10.33 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0) &
% 68.92/10.33 | (all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 68.92/10.33 | all_8_19 = e4) & (all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 |
% 68.92/10.33 | all_8_15 = e3 | all_8_19 = e3) & (all_8_12 = e2 | all_8_13 = e2 |
% 68.92/10.33 | all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2) & (all_8_12 = e1 |
% 68.92/10.33 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1) &
% 68.92/10.33 | (all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 68.92/10.33 | all_8_19 = e0) & (all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 |
% 68.92/10.33 | all_8_19 = e4 | all_8_24 = e4) & (all_8_16 = e3 | all_8_17 = e3 |
% 68.92/10.33 | all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3) & (all_8_16 = e2 |
% 68.92/10.33 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2) &
% 68.92/10.33 | (all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 68.92/10.33 | all_8_24 = e1) & (all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 |
% 68.92/10.33 | all_8_23 = e4 | all_8_24 = e4) & (all_8_20 = e3 | all_8_21 = e3 |
% 68.92/10.33 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3) & (all_8_20 = e2 |
% 68.92/10.33 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2) &
% 68.92/10.33 | (all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 68.92/10.33 | all_8_24 = e1) & (all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 |
% 68.92/10.33 | all_8_18 = e0 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0
% 68.92/10.33 | | all_8_22 = e0 | all_8_23 = e0)))
% 68.92/10.33 |
% 68.92/10.33 | ALPHA: (194) implies:
% 68.92/10.33 | (195) op(e0, e0) = all_8_24
% 68.92/10.33 | (196) op(e0, e1) = all_8_23
% 68.92/10.33 | (197) op(e0, e2) = all_8_22
% 68.92/10.33 | (198) op(e0, e3) = all_8_21
% 68.92/10.33 | (199) op(e0, e4) = all_8_20
% 68.92/10.33 | (200) op(e1, e0) = all_8_19
% 68.92/10.33 | (201) op(e1, e1) = all_8_15
% 68.92/10.33 | (202) op(e1, e2) = all_8_14
% 68.92/10.33 | (203) op(e1, e3) = all_8_13
% 68.92/10.33 | (204) op(e1, e4) = all_8_12
% 68.92/10.33 | (205) op(e2, e0) = all_8_18
% 68.92/10.33 | (206) op(e2, e1) = all_8_11
% 68.92/10.33 | (207) op(e2, e2) = all_8_8
% 68.92/10.33 | (208) op(e2, e3) = all_8_7
% 68.92/10.33 | (209) op(e2, e4) = all_8_6
% 68.92/10.33 | (210) op(e3, e0) = all_8_17
% 68.92/10.33 | (211) op(e3, e1) = all_8_10
% 68.92/10.33 | (212) op(e3, e2) = all_8_5
% 68.92/10.33 | (213) op(e3, e3) = all_8_3
% 68.92/10.33 | (214) op(e3, e4) = all_8_2
% 68.92/10.33 | (215) op(e4, e0) = all_8_16
% 68.92/10.34 | (216) op(e4, e1) = all_8_9
% 68.92/10.34 | (217) op(e4, e2) = all_8_4
% 68.92/10.34 | (218) op(e4, e3) = all_8_1
% 68.92/10.34 | (219) op(e4, e4) = all_8_0
% 68.92/10.34 | (220) all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 |
% 68.92/10.34 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 |
% 68.92/10.34 | all_8_23 = e0))
% 68.92/10.34 | (221) all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 68.92/10.34 | all_8_24 = e1
% 68.92/10.34 | (222) all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 68.92/10.34 | all_8_24 = e2
% 68.92/10.34 | (223) all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 68.92/10.34 | all_8_24 = e3
% 68.92/10.34 | (224) all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 68.92/10.34 | all_8_24 = e4
% 68.92/10.34 | (225) all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 68.92/10.34 | all_8_24 = e1
% 68.92/10.34 | (226) all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 68.92/10.34 | all_8_24 = e2
% 68.92/10.34 | (227) all_8_16 = e3 | all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 68.92/10.34 | all_8_24 = e3
% 68.92/10.34 | (228) all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 68.92/10.34 | all_8_24 = e4
% 68.92/10.34 | (229) all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 68.92/10.34 | all_8_19 = e1
% 68.92/10.34 | (230) all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 68.92/10.34 | all_8_19 = e2
% 68.92/10.34 | (231) all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 68.92/10.34 | all_8_19 = e3
% 68.92/10.34 | (232) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 68.92/10.34 | all_8_23 = e0
% 68.92/10.34 | (233) all_8_9 = e1 | all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 68.92/10.34 | all_8_23 = e1
% 68.92/10.34 | (234) all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 68.92/10.34 | all_8_23 = e2
% 68.92/10.34 | (235) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 68.92/10.34 | all_8_23 = e3
% 68.92/10.34 | (236) all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18
% 68.92/10.34 | = e0
% 68.92/10.34 | (237) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 68.92/10.34 | = e1
% 68.92/10.34 | (238) all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18
% 68.92/10.34 | = e2
% 68.92/10.34 | (239) all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18
% 68.92/10.34 | = e4
% 68.92/10.34 | (240) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22
% 68.92/10.34 | = e1
% 68.92/10.34 | (241) all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22
% 68.92/10.34 | = e4
% 68.92/10.34 | (242) all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17
% 68.92/10.34 | = e0
% 68.92/10.34 | (243) all_8_2 = e1 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17
% 68.92/10.34 | = e1
% 68.92/10.34 | (244) all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17
% 68.92/10.34 | = e2
% 68.92/10.34 | (245) all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17
% 68.92/10.34 | = e3
% 68.92/10.34 | (246) all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17
% 68.92/10.34 | = e4
% 68.92/10.34 | (247) all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21
% 68.92/10.34 | = e0
% 68.92/10.34 | (248) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21
% 68.92/10.34 | = e1
% 68.92/10.34 | (249) all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 68.92/10.34 | = e2
% 68.92/10.35 | (250) all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21
% 68.92/10.35 | = e3
% 68.92/10.35 | (251) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21
% 68.92/10.35 | = e4
% 68.92/10.35 | (252) all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20
% 68.92/10.35 | = e0
% 68.92/10.35 | (253) all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16
% 68.92/10.35 | = e0
% 68.92/10.35 | (254) all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16
% 68.92/10.35 | = e1
% 68.92/10.35 | (255) all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | all_8_20
% 68.92/10.35 | = e3
% 68.92/10.35 | (256) all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20
% 68.92/10.35 | = e4
% 68.92/10.35 |
% 68.92/10.35 | DELTA: instantiating (26) with fresh symbols all_10_0, all_10_1, all_10_2,
% 68.92/10.35 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 68.92/10.35 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 68.92/10.35 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 68.92/10.35 | all_10_22, all_10_23, all_10_24 gives:
% 69.25/10.36 | (257) op(e4, e4) = all_10_20 & op(e4, e3) = all_10_0 & op(e4, e2) =
% 69.25/10.36 | all_10_1 & op(e4, e1) = all_10_2 & op(e4, e0) = all_10_3 & op(e3, e4)
% 69.25/10.36 | = all_10_4 & op(e3, e3) = all_10_21 & op(e3, e2) = all_10_5 & op(e3,
% 69.25/10.36 | e1) = all_10_6 & op(e3, e0) = all_10_7 & op(e2, e4) = all_10_8 &
% 69.25/10.36 | op(e2, e3) = all_10_9 & op(e2, e2) = all_10_22 & op(e2, e1) =
% 69.25/10.36 | all_10_10 & op(e2, e0) = all_10_11 & op(e1, e4) = all_10_12 & op(e1,
% 69.25/10.36 | e3) = all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_23 &
% 69.25/10.36 | op(e1, e0) = all_10_15 & op(e0, e4) = all_10_16 & op(e0, e3) =
% 69.25/10.36 | all_10_17 & op(e0, e2) = all_10_18 & op(e0, e1) = all_10_19 & op(e0,
% 69.25/10.36 | e0) = all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) &
% 69.25/10.36 | $i(all_10_3) & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) &
% 69.25/10.36 | $i(all_10_7) & $i(all_10_8) & $i(all_10_9) & $i(all_10_10) &
% 69.25/10.36 | $i(all_10_11) & $i(all_10_12) & $i(all_10_13) & $i(all_10_14) &
% 69.25/10.36 | $i(all_10_15) & $i(all_10_16) & $i(all_10_17) & $i(all_10_18) &
% 69.25/10.36 | $i(all_10_19) & $i(all_10_20) & $i(all_10_21) & $i(all_10_22) &
% 69.25/10.36 | $i(all_10_23) & $i(all_10_24) & (all_10_20 = e4 | all_10_21 = e4 |
% 69.25/10.36 | all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4) & (all_10_20 = e3
% 69.25/10.36 | | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | all_10_24 =
% 69.25/10.36 | e3) & (all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23
% 69.25/10.36 | = e2 | all_10_24 = e2) & (all_10_20 = e1 | all_10_21 = e1 |
% 69.25/10.36 | all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1) & (all_10_20 = e0
% 69.25/10.36 | | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0 | all_10_24 =
% 69.25/10.36 | e0) & ((( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) &
% 69.25/10.36 | ( ~ (all_10_1 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_2 = e4) | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_5 = e4) |
% 69.25/10.36 | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.25/10.36 | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.25/10.36 | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8 = e4) | ~
% 69.25/10.36 | (unit = e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_12 = e4) | ~ (unit = e4)) & ( ~
% 69.25/10.36 | (all_10_13 = e4) | (all_10_12 = e3 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_14 = e4) | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit = e4))) & ( ~
% 69.25/10.36 | (all_10_16 = e4) | ~ (unit = e4)) & ( ~ (all_10_17 = e4) |
% 69.25/10.36 | (all_10_16 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 69.25/10.36 | (all_10_16 = e2 & ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 69.25/10.36 | (all_10_16 = e1 & ~ (unit = e4))) & ( ~ (all_10_20 = e4) | ~
% 69.25/10.36 | (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_22 = e4) | (all_10_8 = e2 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 69.25/10.36 | = e4))) & ( ~ (all_10_24 = e4) | (all_10_16 = e0 & ~ (unit
% 69.25/10.36 | = e4)))) | (( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.25/10.36 | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_2 = e3) | (all_10_0 = e1 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_3 = e3) | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_9 = e3) | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 69.25/10.36 | (all_10_9 = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 69.25/10.36 | (all_10_9 = e0 & ~ (unit = e3))) & ( ~ (all_10_12 = e3) |
% 69.25/10.36 | (all_10_13 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | ~
% 69.25/10.36 | (unit = e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2 & ~
% 69.25/10.36 | (unit = e3))) & ( ~ (all_10_15 = e3) | (all_10_13 = e0 & ~
% 69.25/10.36 | (unit = e3))) & ( ~ (all_10_16 = e3) | (all_10_17 = e4 & ~
% 69.25/10.36 | (unit = e3))) & ( ~ (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 69.25/10.36 | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_19 = e3) | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit = e3))) & ( ~
% 69.25/10.36 | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 69.25/10.36 | (all_10_9 = e2 & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.25/10.36 | (all_10_13 = e1 & ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 69.25/10.36 | (all_10_17 = e0 & ~ (unit = e3)))) | (( ~ (all_10_0 = e2) |
% 69.25/10.36 | (all_10_1 = e3 & ~ (unit = e2))) & ( ~ (all_10_1 = e2) | ~
% 69.25/10.36 | (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & ~ (unit
% 69.25/10.36 | = e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 & ~ (unit =
% 69.25/10.36 | e2))) & ( ~ (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.25/10.36 | e2))) & ( ~ (all_10_5 = e2) | ~ (unit = e2)) & ( ~
% 69.25/10.36 | (all_10_6 = e2) | (all_10_5 = e1 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_7 = e2) | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_9 = e2) | (all_10_22 = e3 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_10 = e2) | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_12 = e2) | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_14 = e2) | ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 69.25/10.36 | (all_10_14 = e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.25/10.36 | (all_10_18 = e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 69.25/10.36 | (all_10_18 = e3 & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | ~
% 69.25/10.36 | (unit = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 = e1 & ~
% 69.25/10.36 | (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_1 = e4 & ~
% 69.25/10.36 | (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_5 = e3 & ~
% 69.25/10.36 | (unit = e2))) & ( ~ (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 69.25/10.36 | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit = e2))) & ( ~
% 69.25/10.36 | (all_10_24 = e2) | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 69.25/10.36 | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_2 = e1) | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 69.25/10.36 | (all_10_2 = e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 69.25/10.36 | (all_10_6 = e4 & ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 69.25/10.36 | (all_10_6 = e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1) | ~
% 69.25/10.36 | (unit = e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 & ~ (unit
% 69.25/10.36 | = e1))) & ( ~ (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit
% 69.25/10.36 | = e1))) & ( ~ (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit
% 69.25/10.36 | = e1))) & ( ~ (all_10_10 = e1) | ~ (unit = e1)) & ( ~
% 69.25/10.36 | (all_10_11 = e1) | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_15 = e1) | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_17 = e1) | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 69.25/10.36 | (all_10_19 = e1) | ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 69.25/10.36 | (all_10_2 = e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.25/10.36 | (all_10_6 = e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 69.25/10.36 | (all_10_10 = e2 & ~ (unit = e1))) & ( ~ (all_10_23 = e1) | ~
% 69.25/10.36 | (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 = e0 & ~
% 69.25/10.36 | (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_3 = e1 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 69.25/10.36 | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_6 = e0) | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_7 = e0) | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 69.25/10.36 | (all_10_11 = e4 & ~ (unit = e0))) & ( ~ (all_10_9 = e0) |
% 69.25/10.36 | (all_10_11 = e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 69.25/10.36 | (all_10_11 = e1 & ~ (unit = e0))) & ( ~ (all_10_11 = e0) | ~
% 69.25/10.36 | (unit = e0)) & ( ~ (all_10_12 = e0) | (all_10_15 = e4 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_15 = e3 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_14 = e0) | (all_10_15 = e2 & ~
% 69.25/10.36 | (unit = e0))) & ( ~ (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.25/10.36 | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 69.25/10.36 | (all_10_24 = e0) | ~ (unit = e0))))
% 69.25/10.36 |
% 69.25/10.36 | ALPHA: (257) implies:
% 69.25/10.36 | (258) op(e0, e0) = all_10_24
% 69.25/10.36 | (259) op(e0, e1) = all_10_19
% 69.25/10.36 | (260) op(e0, e2) = all_10_18
% 69.25/10.36 | (261) op(e0, e3) = all_10_17
% 69.25/10.36 | (262) op(e0, e4) = all_10_16
% 69.25/10.36 | (263) op(e1, e0) = all_10_15
% 69.25/10.36 | (264) op(e1, e1) = all_10_23
% 69.25/10.36 | (265) op(e1, e2) = all_10_14
% 69.25/10.36 | (266) op(e1, e3) = all_10_13
% 69.25/10.36 | (267) op(e1, e4) = all_10_12
% 69.25/10.36 | (268) op(e2, e0) = all_10_11
% 69.25/10.36 | (269) op(e2, e1) = all_10_10
% 69.25/10.36 | (270) op(e2, e2) = all_10_22
% 69.25/10.36 | (271) op(e2, e3) = all_10_9
% 69.25/10.36 | (272) op(e2, e4) = all_10_8
% 69.25/10.36 | (273) op(e3, e0) = all_10_7
% 69.25/10.36 | (274) op(e3, e1) = all_10_6
% 69.25/10.36 | (275) op(e3, e2) = all_10_5
% 69.25/10.36 | (276) op(e3, e3) = all_10_21
% 69.25/10.36 | (277) op(e3, e4) = all_10_4
% 69.25/10.36 | (278) op(e4, e0) = all_10_3
% 69.25/10.36 | (279) op(e4, e1) = all_10_2
% 69.25/10.36 | (280) op(e4, e2) = all_10_1
% 69.25/10.36 | (281) op(e4, e3) = all_10_0
% 69.25/10.36 | (282) op(e4, e4) = all_10_20
% 69.30/10.37 | (283) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_1 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_2 = e4) | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_5 = e4) |
% 69.30/10.37 | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.30/10.37 | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.30/10.37 | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8 = e4) | ~
% 69.30/10.37 | (unit = e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_12 = e4) | ~ (unit = e4)) & ( ~
% 69.30/10.37 | (all_10_13 = e4) | (all_10_12 = e3 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_14 = e4) | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit = e4))) & ( ~
% 69.30/10.37 | (all_10_16 = e4) | ~ (unit = e4)) & ( ~ (all_10_17 = e4) |
% 69.30/10.37 | (all_10_16 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 69.30/10.37 | (all_10_16 = e2 & ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 69.30/10.37 | (all_10_16 = e1 & ~ (unit = e4))) & ( ~ (all_10_20 = e4) | ~
% 69.30/10.37 | (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_22 = e4) | (all_10_8 = e2 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 69.30/10.37 | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 = e0 & ~ (unit =
% 69.30/10.37 | e4)))) | (( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.30/10.37 | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_2 = e3) | (all_10_0 = e1 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_3 = e3) | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_9 = e3) | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 69.30/10.37 | (all_10_9 = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 69.30/10.37 | (all_10_9 = e0 & ~ (unit = e3))) & ( ~ (all_10_12 = e3) |
% 69.30/10.37 | (all_10_13 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | ~
% 69.30/10.37 | (unit = e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2 & ~ (unit
% 69.30/10.37 | = e3))) & ( ~ (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit =
% 69.30/10.37 | e3))) & ( ~ (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 69.30/10.37 | e3))) & ( ~ (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 69.30/10.37 | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_19 = e3) | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit = e3))) & ( ~
% 69.30/10.37 | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 69.30/10.37 | (all_10_9 = e2 & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.30/10.37 | (all_10_13 = e1 & ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 69.30/10.37 | (all_10_17 = e0 & ~ (unit = e3)))) | (( ~ (all_10_0 = e2) |
% 69.30/10.37 | (all_10_1 = e3 & ~ (unit = e2))) & ( ~ (all_10_1 = e2) | ~
% 69.30/10.37 | (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & ~ (unit =
% 69.30/10.37 | e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 & ~ (unit =
% 69.30/10.37 | e2))) & ( ~ (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.30/10.37 | e2))) & ( ~ (all_10_5 = e2) | ~ (unit = e2)) & ( ~ (all_10_6
% 69.30/10.37 | = e2) | (all_10_5 = e1 & ~ (unit = e2))) & ( ~ (all_10_7 = e2)
% 69.30/10.37 | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 69.30/10.37 | (all_10_22 = e4 & ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.30/10.37 | (all_10_22 = e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 69.30/10.37 | (all_10_22 = e1 & ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 69.30/10.37 | (all_10_22 = e0 & ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.30/10.37 | (all_10_14 = e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 69.30/10.37 | (all_10_14 = e3 & ~ (unit = e2))) & ( ~ (all_10_14 = e2) | ~
% 69.30/10.37 | (unit = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit
% 69.30/10.37 | = e2))) & ( ~ (all_10_16 = e2) | (all_10_18 = e4 & ~ (unit =
% 69.30/10.37 | e2))) & ( ~ (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit =
% 69.30/10.37 | e2))) & ( ~ (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 69.30/10.37 | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit = e2))) & ( ~
% 69.30/10.37 | (all_10_20 = e2) | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 69.30/10.37 | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 69.30/10.37 | (all_10_22 = e2) | ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 69.30/10.37 | (all_10_14 = e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.30/10.37 | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 69.30/10.37 | (all_10_2 = e3 & ~ (unit = e1))) & ( ~ (all_10_1 = e1) |
% 69.30/10.37 | (all_10_2 = e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 69.30/10.37 | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 = e0 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_6 = e1) | ~ (unit = e1)) & ( ~ (all_10_7
% 69.30/10.37 | = e1) | (all_10_6 = e0 & ~ (unit = e1))) & ( ~ (all_10_8 = e1)
% 69.30/10.37 | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 69.30/10.37 | (all_10_10 = e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | ~
% 69.30/10.37 | (unit = e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0 & ~ (unit
% 69.30/10.37 | = e1))) & ( ~ (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_15 = e1) | (all_10_23 = e0 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 = e3 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit =
% 69.30/10.37 | e1))) & ( ~ (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 69.30/10.37 | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit = e1))) & ( ~
% 69.30/10.37 | (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 69.30/10.37 | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 69.30/10.37 | (all_10_23 = e1) | ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 69.30/10.37 | (all_10_19 = e0 & ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 69.30/10.37 | (all_10_3 = e3 & ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 69.30/10.37 | (all_10_3 = e2 & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.30/10.37 | (all_10_3 = e1 & ~ (unit = e0))) & ( ~ (all_10_3 = e0) | ~
% 69.30/10.37 | (unit = e0)) & ( ~ (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 69.30/10.37 | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 69.30/10.37 | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 = e1 & ~ (unit =
% 69.30/10.37 | e0))) & ( ~ (all_10_7 = e0) | ~ (unit = e0)) & ( ~ (all_10_8
% 69.30/10.37 | = e0) | (all_10_11 = e4 & ~ (unit = e0))) & ( ~ (all_10_9 =
% 69.30/10.37 | e0) | (all_10_11 = e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0)
% 69.30/10.37 | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~ (all_10_11 = e0) | ~
% 69.30/10.37 | (unit = e0)) & ( ~ (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit
% 69.30/10.37 | = e0))) & ( ~ (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit =
% 69.30/10.37 | e0))) & ( ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 69.30/10.37 | e0))) & ( ~ (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.30/10.37 | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 69.30/10.37 | (all_10_24 = e0) | ~ (unit = e0)))
% 69.30/10.37 | (284) all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0 |
% 69.30/10.37 | all_10_24 = e0
% 69.30/10.37 | (285) all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 69.30/10.37 | all_10_24 = e1
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_24, e0, e0,
% 69.30/10.37 | simplifying with (195), (258) gives:
% 69.30/10.37 | (286) all_10_24 = all_8_24
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0,
% 69.30/10.37 | simplifying with (127), (258) gives:
% 69.30/10.37 | (287) all_10_24 = all_4_24
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_19, e1, e0,
% 69.30/10.37 | simplifying with (196), (259) gives:
% 69.30/10.37 | (288) all_10_19 = all_8_23
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_19, e1, e0,
% 69.30/10.37 | simplifying with (153), (259) gives:
% 69.30/10.37 | (289) all_10_19 = all_6_23
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_19, e1, e0,
% 69.30/10.37 | simplifying with (128), (259) gives:
% 69.30/10.37 | (290) all_10_19 = all_4_19
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_18, e2, e0,
% 69.30/10.37 | simplifying with (197), (260) gives:
% 69.30/10.37 | (291) all_10_18 = all_8_22
% 69.30/10.37 |
% 69.30/10.37 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_18, e2, e0,
% 69.30/10.37 | simplifying with (154), (260) gives:
% 69.30/10.38 | (292) all_10_18 = all_6_22
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_18, e2, e0,
% 69.30/10.38 | simplifying with (129), (260) gives:
% 69.30/10.38 | (293) all_10_18 = all_4_14
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_21, e3, e0,
% 69.30/10.38 | simplifying with (155), (198) gives:
% 69.30/10.38 | (294) all_8_21 = all_6_21
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_17, e3, e0,
% 69.30/10.38 | simplifying with (198), (261) gives:
% 69.30/10.38 | (295) all_10_17 = all_8_21
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_17, e3, e0,
% 69.30/10.38 | simplifying with (130), (261) gives:
% 69.30/10.38 | (296) all_10_17 = all_4_9
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_16, e4, e0,
% 69.30/10.38 | simplifying with (199), (262) gives:
% 69.30/10.38 | (297) all_10_16 = all_8_20
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_16, e4, e0,
% 69.30/10.38 | simplifying with (156), (262) gives:
% 69.30/10.38 | (298) all_10_16 = all_6_20
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_16, e4, e0,
% 69.30/10.38 | simplifying with (131), (262) gives:
% 69.30/10.38 | (299) all_10_16 = all_4_4
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_19, e0, e1,
% 69.30/10.38 | simplifying with (157), (200) gives:
% 69.30/10.38 | (300) all_8_19 = all_6_19
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_15, e0, e1,
% 69.30/10.38 | simplifying with (200), (263) gives:
% 69.30/10.38 | (301) all_10_15 = all_8_19
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_15, e0, e1,
% 69.30/10.38 | simplifying with (132), (263) gives:
% 69.30/10.38 | (302) all_10_15 = all_4_23
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_8_15, e1, e1,
% 69.30/10.38 | simplifying with (133), (201) gives:
% 69.30/10.38 | (303) all_8_15 = all_4_18
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with e4, all_8_15, e1, e1,
% 69.30/10.38 | simplifying with (22), (201) gives:
% 69.30/10.38 | (304) all_8_15 = e4
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_23, e1, e1,
% 69.30/10.38 | simplifying with (201), (264) gives:
% 69.30/10.38 | (305) all_10_23 = all_8_15
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_23, e1, e1,
% 69.30/10.38 | simplifying with (158), (264) gives:
% 69.30/10.38 | (306) all_10_23 = all_6_18
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_14, e2, e1,
% 69.30/10.38 | simplifying with (159), (202) gives:
% 69.30/10.38 | (307) all_8_14 = all_6_17
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_8_14, e2, e1,
% 69.30/10.38 | simplifying with (134), (202) gives:
% 69.30/10.38 | (308) all_8_14 = all_4_13
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_14, e2, e1,
% 69.30/10.38 | simplifying with (202), (265) gives:
% 69.30/10.38 | (309) all_10_14 = all_8_14
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with e0, all_10_14, e2, e1,
% 69.30/10.38 | simplifying with (23), (265) gives:
% 69.30/10.38 | (310) all_10_14 = e0
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_13, e3, e1,
% 69.30/10.38 | simplifying with (160), (203) gives:
% 69.30/10.38 | (311) all_8_13 = all_6_16
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_13, e3, e1,
% 69.30/10.38 | simplifying with (203), (266) gives:
% 69.30/10.38 | (312) all_10_13 = all_8_13
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_13, e3, e1,
% 69.30/10.38 | simplifying with (135), (266) gives:
% 69.30/10.38 | (313) all_10_13 = all_4_8
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_12, e4, e1,
% 69.30/10.38 | simplifying with (161), (204) gives:
% 69.30/10.38 | (314) all_8_12 = all_6_15
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_12, e4, e1,
% 69.30/10.38 | simplifying with (204), (267) gives:
% 69.30/10.38 | (315) all_10_12 = all_8_12
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_12, e4, e1,
% 69.30/10.38 | simplifying with (136), (267) gives:
% 69.30/10.38 | (316) all_10_12 = all_4_3
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_18, e0, e2,
% 69.30/10.38 | simplifying with (137), (205) gives:
% 69.30/10.38 | (317) all_8_18 = all_4_22
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_11, e0, e2,
% 69.30/10.38 | simplifying with (205), (268) gives:
% 69.30/10.38 | (318) all_10_11 = all_8_18
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_11, e0, e2,
% 69.30/10.38 | simplifying with (162), (268) gives:
% 69.30/10.38 | (319) all_10_11 = all_6_14
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_11, e1, e2,
% 69.30/10.38 | simplifying with (163), (206) gives:
% 69.30/10.38 | (320) all_8_11 = all_6_13
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_10, e1, e2,
% 69.30/10.38 | simplifying with (206), (269) gives:
% 69.30/10.38 | (321) all_10_10 = all_8_11
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_10, e1, e2,
% 69.30/10.38 | simplifying with (138), (269) gives:
% 69.30/10.38 | (322) all_10_10 = all_4_17
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_6_12, e2, e2,
% 69.30/10.38 | simplifying with (139), (164) gives:
% 69.30/10.38 | (323) all_6_12 = all_4_12
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_8, e2, e2,
% 69.30/10.38 | simplifying with (164), (207) gives:
% 69.30/10.38 | (324) all_8_8 = all_6_12
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_22, e2, e2,
% 69.30/10.38 | simplifying with (207), (270) gives:
% 69.30/10.38 | (325) all_10_22 = all_8_8
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with e3, all_10_22, e2, e2,
% 69.30/10.38 | simplifying with (24), (270) gives:
% 69.30/10.38 | (326) all_10_22 = e3
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_8_7, e3, e2,
% 69.30/10.38 | simplifying with (165), (208) gives:
% 69.30/10.38 | (327) all_8_7 = all_6_11
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_9, e3, e2,
% 69.30/10.38 | simplifying with (208), (271) gives:
% 69.30/10.38 | (328) all_10_9 = all_8_7
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_9, e3, e2,
% 69.30/10.38 | simplifying with (140), (271) gives:
% 69.30/10.38 | (329) all_10_9 = all_4_7
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_8, e4, e2,
% 69.30/10.38 | simplifying with (209), (272) gives:
% 69.30/10.38 | (330) all_10_8 = all_8_6
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_8, e4, e2,
% 69.30/10.38 | simplifying with (166), (272) gives:
% 69.30/10.38 | (331) all_10_8 = all_6_10
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_8, e4, e2,
% 69.30/10.38 | simplifying with (141), (272) gives:
% 69.30/10.38 | (332) all_10_8 = all_4_2
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_17, all_10_7, e0, e3,
% 69.30/10.38 | simplifying with (210), (273) gives:
% 69.30/10.38 | (333) all_10_7 = all_8_17
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_10_7, e0, e3,
% 69.30/10.38 | simplifying with (167), (273) gives:
% 69.30/10.38 | (334) all_10_7 = all_6_9
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_7, e0, e3,
% 69.30/10.38 | simplifying with (142), (273) gives:
% 69.30/10.38 | (335) all_10_7 = all_4_21
% 69.30/10.38 |
% 69.30/10.38 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_6, e1, e3,
% 69.30/10.38 | simplifying with (211), (274) gives:
% 69.30/10.38 | (336) all_10_6 = all_8_10
% 69.30/10.38 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_10_6, e1, e3,
% 69.30/10.39 | simplifying with (168), (274) gives:
% 69.30/10.39 | (337) all_10_6 = all_6_8
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_6, e1, e3,
% 69.30/10.39 | simplifying with (143), (274) gives:
% 69.30/10.39 | (338) all_10_6 = all_4_16
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_5, e2, e3,
% 69.30/10.39 | simplifying with (212), (275) gives:
% 69.30/10.39 | (339) all_10_5 = all_8_5
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_10_5, e2, e3,
% 69.30/10.39 | simplifying with (169), (275) gives:
% 69.30/10.39 | (340) all_10_5 = all_6_7
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_5, e2, e3,
% 69.30/10.39 | simplifying with (144), (275) gives:
% 69.30/10.39 | (341) all_10_5 = all_4_11
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_8_3, e3, e3,
% 69.30/10.39 | simplifying with (170), (213) gives:
% 69.30/10.39 | (342) all_8_3 = all_6_6
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_21, e3, e3,
% 69.30/10.39 | simplifying with (213), (276) gives:
% 69.30/10.39 | (343) all_10_21 = all_8_3
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_21, e3, e3,
% 69.30/10.39 | simplifying with (145), (276) gives:
% 69.30/10.39 | (344) all_10_21 = all_4_6
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_2, e4, e3,
% 69.30/10.39 | simplifying with (171), (214) gives:
% 69.30/10.39 | (345) all_8_2 = all_6_5
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_4, e4, e3,
% 69.30/10.39 | simplifying with (214), (277) gives:
% 69.30/10.39 | (346) all_10_4 = all_8_2
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_4, e4, e3,
% 69.30/10.39 | simplifying with (146), (277) gives:
% 69.30/10.39 | (347) all_10_4 = all_4_1
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_16, e0, e4,
% 69.30/10.39 | simplifying with (172), (215) gives:
% 69.30/10.39 | (348) all_8_16 = all_6_4
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_3, e0, e4,
% 69.30/10.39 | simplifying with (215), (278) gives:
% 69.30/10.39 | (349) all_10_3 = all_8_16
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_3, e0, e4,
% 69.30/10.39 | simplifying with (147), (278) gives:
% 69.30/10.39 | (350) all_10_3 = all_4_20
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_9, e1, e4,
% 69.30/10.39 | simplifying with (173), (216) gives:
% 69.30/10.39 | (351) all_8_9 = all_6_3
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_2, e1, e4,
% 69.30/10.39 | simplifying with (216), (279) gives:
% 69.30/10.39 | (352) all_10_2 = all_8_9
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_2, e1, e4,
% 69.30/10.39 | simplifying with (148), (279) gives:
% 69.30/10.39 | (353) all_10_2 = all_4_15
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_8_4, e2, e4,
% 69.30/10.39 | simplifying with (174), (217) gives:
% 69.30/10.39 | (354) all_8_4 = all_6_2
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_1, e2, e4,
% 69.30/10.39 | simplifying with (217), (280) gives:
% 69.30/10.39 | (355) all_10_1 = all_8_4
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_1, e2, e4,
% 69.30/10.39 | simplifying with (149), (280) gives:
% 69.30/10.39 | (356) all_10_1 = all_4_10
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_1, e3, e4,
% 69.30/10.39 | simplifying with (175), (218) gives:
% 69.30/10.39 | (357) all_8_1 = all_6_1
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_0, e3, e4,
% 69.30/10.39 | simplifying with (218), (281) gives:
% 69.30/10.39 | (358) all_10_0 = all_8_1
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_0, e3, e4,
% 69.30/10.39 | simplifying with (150), (281) gives:
% 69.30/10.39 | (359) all_10_0 = all_4_5
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with e2, all_6_0, e4, e4,
% 69.30/10.39 | simplifying with (25), (176) gives:
% 69.30/10.39 | (360) all_6_0 = e2
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_0, e4, e4,
% 69.30/10.39 | simplifying with (176), (219) gives:
% 69.30/10.39 | (361) all_8_0 = all_6_0
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_20, e4, e4,
% 69.30/10.39 | simplifying with (219), (282) gives:
% 69.30/10.39 | (362) all_10_20 = all_8_0
% 69.30/10.39 |
% 69.30/10.39 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_20, e4, e4,
% 69.30/10.39 | simplifying with (151), (282) gives:
% 69.30/10.39 | (363) all_10_20 = all_4_0
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (358), (359) imply:
% 69.30/10.39 | (364) all_8_1 = all_4_5
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (364) implies:
% 69.30/10.39 | (365) all_8_1 = all_4_5
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (355), (356) imply:
% 69.30/10.39 | (366) all_8_4 = all_4_10
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (366) implies:
% 69.30/10.39 | (367) all_8_4 = all_4_10
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (352), (353) imply:
% 69.30/10.39 | (368) all_8_9 = all_4_15
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (368) implies:
% 69.30/10.39 | (369) all_8_9 = all_4_15
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (349), (350) imply:
% 69.30/10.39 | (370) all_8_16 = all_4_20
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (370) implies:
% 69.30/10.39 | (371) all_8_16 = all_4_20
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (346), (347) imply:
% 69.30/10.39 | (372) all_8_2 = all_4_1
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (372) implies:
% 69.30/10.39 | (373) all_8_2 = all_4_1
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (339), (340) imply:
% 69.30/10.39 | (374) all_8_5 = all_6_7
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (339), (341) imply:
% 69.30/10.39 | (375) all_8_5 = all_4_11
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (336), (337) imply:
% 69.30/10.39 | (376) all_8_10 = all_6_8
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (336), (338) imply:
% 69.30/10.39 | (377) all_8_10 = all_4_16
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (333), (335) imply:
% 69.30/10.39 | (378) all_8_17 = all_4_21
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (333), (334) imply:
% 69.30/10.39 | (379) all_8_17 = all_6_9
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (330), (332) imply:
% 69.30/10.39 | (380) all_8_6 = all_4_2
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (330), (331) imply:
% 69.30/10.39 | (381) all_8_6 = all_6_10
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (328), (329) imply:
% 69.30/10.39 | (382) all_8_7 = all_4_7
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (382) implies:
% 69.30/10.39 | (383) all_8_7 = all_4_7
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (321), (322) imply:
% 69.30/10.39 | (384) all_8_11 = all_4_17
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (384) implies:
% 69.30/10.39 | (385) all_8_11 = all_4_17
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (318), (319) imply:
% 69.30/10.39 | (386) all_8_18 = all_6_14
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (386) implies:
% 69.30/10.39 | (387) all_8_18 = all_6_14
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (315), (316) imply:
% 69.30/10.39 | (388) all_8_12 = all_4_3
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (388) implies:
% 69.30/10.39 | (389) all_8_12 = all_4_3
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (312), (313) imply:
% 69.30/10.39 | (390) all_8_13 = all_4_8
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (390) implies:
% 69.30/10.39 | (391) all_8_13 = all_4_8
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (309), (310) imply:
% 69.30/10.39 | (392) all_8_14 = e0
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (392) implies:
% 69.30/10.39 | (393) all_8_14 = e0
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (301), (302) imply:
% 69.30/10.39 | (394) all_8_19 = all_4_23
% 69.30/10.39 |
% 69.30/10.39 | SIMP: (394) implies:
% 69.30/10.39 | (395) all_8_19 = all_4_23
% 69.30/10.39 |
% 69.30/10.39 | COMBINE_EQS: (297), (299) imply:
% 69.30/10.39 | (396) all_8_20 = all_4_4
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (297), (298) imply:
% 69.30/10.40 | (397) all_8_20 = all_6_20
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (295), (296) imply:
% 69.30/10.40 | (398) all_8_21 = all_4_9
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (398) implies:
% 69.30/10.40 | (399) all_8_21 = all_4_9
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (291), (293) imply:
% 69.30/10.40 | (400) all_8_22 = all_4_14
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (291), (292) imply:
% 69.30/10.40 | (401) all_8_22 = all_6_22
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (288), (290) imply:
% 69.30/10.40 | (402) all_8_23 = all_4_19
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (288), (289) imply:
% 69.30/10.40 | (403) all_8_23 = all_6_23
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (362), (363) imply:
% 69.30/10.40 | (404) all_8_0 = all_4_0
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (404) implies:
% 69.30/10.40 | (405) all_8_0 = all_4_0
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (343), (344) imply:
% 69.30/10.40 | (406) all_8_3 = all_4_6
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (406) implies:
% 69.30/10.40 | (407) all_8_3 = all_4_6
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (325), (326) imply:
% 69.30/10.40 | (408) all_8_8 = e3
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (408) implies:
% 69.30/10.40 | (409) all_8_8 = e3
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (305), (306) imply:
% 69.30/10.40 | (410) all_8_15 = all_6_18
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (410) implies:
% 69.30/10.40 | (411) all_8_15 = all_6_18
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (286), (287) imply:
% 69.30/10.40 | (412) all_8_24 = all_4_24
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (412) implies:
% 69.30/10.40 | (413) all_8_24 = all_4_24
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (361), (405) imply:
% 69.30/10.40 | (414) all_6_0 = all_4_0
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (414) implies:
% 69.30/10.40 | (415) all_6_0 = all_4_0
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (357), (365) imply:
% 69.30/10.40 | (416) all_6_1 = all_4_5
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (345), (373) imply:
% 69.30/10.40 | (417) all_6_5 = all_4_1
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (417) implies:
% 69.30/10.40 | (418) all_6_5 = all_4_1
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (342), (407) imply:
% 69.30/10.40 | (419) all_6_6 = all_4_6
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (354), (367) imply:
% 69.30/10.40 | (420) all_6_2 = all_4_10
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (374), (375) imply:
% 69.30/10.40 | (421) all_6_7 = all_4_11
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (380), (381) imply:
% 69.30/10.40 | (422) all_6_10 = all_4_2
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (422) implies:
% 69.30/10.40 | (423) all_6_10 = all_4_2
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (327), (383) imply:
% 69.30/10.40 | (424) all_6_11 = all_4_7
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (424) implies:
% 69.30/10.40 | (425) all_6_11 = all_4_7
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (324), (409) imply:
% 69.30/10.40 | (426) all_6_12 = e3
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (426) implies:
% 69.30/10.40 | (427) all_6_12 = e3
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (351), (369) imply:
% 69.30/10.40 | (428) all_6_3 = all_4_15
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (376), (377) imply:
% 69.30/10.40 | (429) all_6_8 = all_4_16
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (320), (385) imply:
% 69.30/10.40 | (430) all_6_13 = all_4_17
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (430) implies:
% 69.30/10.40 | (431) all_6_13 = all_4_17
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (314), (389) imply:
% 69.30/10.40 | (432) all_6_15 = all_4_3
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (311), (391) imply:
% 69.30/10.40 | (433) all_6_16 = all_4_8
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (433) implies:
% 69.30/10.40 | (434) all_6_16 = all_4_8
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (307), (308) imply:
% 69.30/10.40 | (435) all_6_17 = all_4_13
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (307), (393) imply:
% 69.30/10.40 | (436) all_6_17 = e0
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (304), (411) imply:
% 69.30/10.40 | (437) all_6_18 = e4
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (303), (411) imply:
% 69.30/10.40 | (438) all_6_18 = all_4_18
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (348), (371) imply:
% 69.30/10.40 | (439) all_6_4 = all_4_20
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (439) implies:
% 69.30/10.40 | (440) all_6_4 = all_4_20
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (378), (379) imply:
% 69.30/10.40 | (441) all_6_9 = all_4_21
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (317), (387) imply:
% 69.30/10.40 | (442) all_6_14 = all_4_22
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (300), (395) imply:
% 69.30/10.40 | (443) all_6_19 = all_4_23
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (443) implies:
% 69.30/10.40 | (444) all_6_19 = all_4_23
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (396), (397) imply:
% 69.30/10.40 | (445) all_6_20 = all_4_4
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (445) implies:
% 69.30/10.40 | (446) all_6_20 = all_4_4
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (294), (399) imply:
% 69.30/10.40 | (447) all_6_21 = all_4_9
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (447) implies:
% 69.30/10.40 | (448) all_6_21 = all_4_9
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (400), (401) imply:
% 69.30/10.40 | (449) all_6_22 = all_4_14
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (449) implies:
% 69.30/10.40 | (450) all_6_22 = all_4_14
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (402), (403) imply:
% 69.30/10.40 | (451) all_6_23 = all_4_19
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (451) implies:
% 69.30/10.40 | (452) all_6_23 = all_4_19
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (360), (415) imply:
% 69.30/10.40 | (453) all_4_0 = e2
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (323), (427) imply:
% 69.30/10.40 | (454) all_4_12 = e3
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (454) implies:
% 69.30/10.40 | (455) all_4_12 = e3
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (435), (436) imply:
% 69.30/10.40 | (456) all_4_13 = e0
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (456) implies:
% 69.30/10.40 | (457) all_4_13 = e0
% 69.30/10.40 |
% 69.30/10.40 | COMBINE_EQS: (437), (438) imply:
% 69.30/10.40 | (458) all_4_18 = e4
% 69.30/10.40 |
% 69.30/10.40 | SIMP: (458) implies:
% 69.30/10.40 | (459) all_4_18 = e4
% 69.30/10.40 |
% 69.30/10.41 | COMBINE_EQS: (405), (453) imply:
% 69.30/10.41 | (460) all_8_0 = e2
% 69.30/10.41 |
% 69.30/10.41 | COMBINE_EQS: (306), (437) imply:
% 69.30/10.41 | (461) all_10_23 = e4
% 69.30/10.41 |
% 69.30/10.41 | COMBINE_EQS: (363), (453) imply:
% 69.30/10.41 | (462) all_10_20 = e2
% 69.30/10.41 |
% 69.30/10.41 | COMBINE_EQS: (319), (442) imply:
% 69.30/10.41 | (463) all_10_11 = all_4_22
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (126), (453) imply:
% 69.30/10.41 | (464) ~ (all_4_1 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (464) implies:
% 69.30/10.41 | (465) ~ (all_4_1 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (125), (453) imply:
% 69.30/10.41 | (466) ~ (all_4_2 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (466) implies:
% 69.30/10.41 | (467) ~ (all_4_2 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (124), (453) imply:
% 69.30/10.41 | (468) ~ (all_4_3 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (468) implies:
% 69.30/10.41 | (469) ~ (all_4_3 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (123), (453) imply:
% 69.30/10.41 | (470) ~ (all_4_4 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (470) implies:
% 69.30/10.41 | (471) ~ (all_4_4 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (122), (453) imply:
% 69.30/10.41 | (472) ~ (all_4_5 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (472) implies:
% 69.30/10.41 | (473) ~ (all_4_5 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (121), (453) imply:
% 69.30/10.41 | (474) ~ (all_4_10 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (474) implies:
% 69.30/10.41 | (475) ~ (all_4_10 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (120), (453) imply:
% 69.30/10.41 | (476) ~ (all_4_15 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (476) implies:
% 69.30/10.41 | (477) ~ (all_4_15 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (119), (453) imply:
% 69.30/10.41 | (478) ~ (all_4_20 = e2)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (478) implies:
% 69.30/10.41 | (479) ~ (all_4_20 = e2)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (108), (455) imply:
% 69.30/10.41 | (480) ~ (all_4_2 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (103), (457) imply:
% 69.30/10.41 | (481) ~ (all_4_3 = e0)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (102), (459) imply:
% 69.30/10.41 | (482) ~ (all_4_3 = e4)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (81), (455) imply:
% 69.30/10.41 | (483) ~ (all_4_7 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (77), (457) imply:
% 69.30/10.41 | (484) ~ (all_4_8 = e0)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (76), (459) imply:
% 69.30/10.41 | (485) ~ (all_4_8 = e4)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (70), (455) imply:
% 69.30/10.41 | (486) ~ (all_4_10 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (69), (457) imply:
% 69.30/10.41 | (487) ~ (all_4_10 = e0)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (65), (455) imply:
% 69.30/10.41 | (488) ~ (all_4_11 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (64), (457) imply:
% 69.30/10.41 | (489) ~ (all_4_11 = e0)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (60), (455), (457) imply:
% 69.30/10.41 | (490) ~ (e3 = e0)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (59), (455) imply:
% 69.30/10.41 | (491) ~ (all_4_14 = e3)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (491) implies:
% 69.30/10.41 | (492) ~ (all_4_14 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (58), (455) imply:
% 69.30/10.41 | (493) ~ (all_4_17 = e3)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (493) implies:
% 69.30/10.41 | (494) ~ (all_4_17 = e3)
% 69.30/10.41 |
% 69.30/10.41 | REDUCE: (57), (455) imply:
% 69.30/10.41 | (495) ~ (all_4_22 = e3)
% 69.30/10.41 |
% 69.30/10.41 | SIMP: (495) implies:
% 69.30/10.41 | (496) ~ (all_4_22 = e3)
% 69.30/10.41 |
% 69.49/10.41 | REDUCE: (56), (457) imply:
% 69.49/10.41 | (497) ~ (all_4_14 = e0)
% 69.49/10.41 |
% 69.49/10.41 | SIMP: (497) implies:
% 69.49/10.41 | (498) ~ (all_4_14 = e0)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (55), (457), (459) imply:
% 69.49/10.41 | (499) ~ (e4 = e0)
% 69.49/10.41 |
% 69.49/10.41 | SIMP: (499) implies:
% 69.49/10.41 | (500) ~ (e4 = e0)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (54), (457) imply:
% 69.49/10.41 | (501) ~ (all_4_23 = e0)
% 69.49/10.41 |
% 69.49/10.41 | SIMP: (501) implies:
% 69.49/10.41 | (502) ~ (all_4_23 = e0)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (49), (459) imply:
% 69.49/10.41 | (503) ~ (all_4_15 = e4)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (45), (459) imply:
% 69.49/10.41 | (504) ~ (all_4_16 = e4)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (43), (459) imply:
% 69.49/10.41 | (505) ~ (all_4_17 = e4)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (40), (459) imply:
% 69.49/10.41 | (506) ~ (all_4_19 = e4)
% 69.49/10.41 |
% 69.49/10.41 | SIMP: (506) implies:
% 69.49/10.41 | (507) ~ (all_4_19 = e4)
% 69.49/10.41 |
% 69.49/10.41 | REDUCE: (39), (459) imply:
% 69.49/10.41 | (508) ~ (all_4_23 = e4)
% 69.49/10.41 |
% 69.49/10.41 | SIMP: (508) implies:
% 69.49/10.41 | (509) ~ (all_4_23 = e4)
% 69.49/10.41 |
% 69.49/10.41 | BETA: splitting (220) gives:
% 69.49/10.41 |
% 69.49/10.41 | Case 1:
% 69.49/10.41 | |
% 69.49/10.41 | | (510) all_8_24 = e0
% 69.49/10.41 | |
% 69.49/10.41 | | COMBINE_EQS: (413), (510) imply:
% 69.49/10.41 | | (511) all_4_24 = e0
% 69.49/10.41 | |
% 69.49/10.41 | | SIMP: (511) implies:
% 69.49/10.41 | | (512) all_4_24 = e0
% 69.49/10.41 | |
% 69.49/10.41 | | COMBINE_EQS: (287), (512) imply:
% 69.49/10.41 | | (513) all_10_24 = e0
% 69.49/10.41 | |
% 69.49/10.41 | | REDUCE: (97), (512) imply:
% 69.49/10.42 | | (514) ~ (all_4_4 = e0)
% 69.49/10.42 | |
% 69.49/10.42 | | REDUCE: (72), (512) imply:
% 69.49/10.42 | | (515) ~ (all_4_9 = e0)
% 69.49/10.42 | |
% 69.49/10.42 | | REDUCE: (38), (512) imply:
% 69.49/10.42 | | (516) ~ (all_4_19 = e0)
% 69.49/10.42 | |
% 69.49/10.42 | | REDUCE: (31), (512) imply:
% 69.49/10.42 | | (517) ~ (all_4_21 = e0)
% 69.49/10.42 | |
% 69.49/10.42 | | BETA: splitting (285) gives:
% 69.49/10.42 | |
% 69.49/10.42 | | Case 1:
% 69.49/10.42 | | |
% 69.49/10.42 | | | (518) all_10_20 = e1
% 69.49/10.42 | | |
% 69.49/10.42 | | | REF_CLOSE: (17), (462), (518) are inconsistent by sub-proof #117.
% 69.49/10.42 | | |
% 69.49/10.42 | | Case 2:
% 69.49/10.42 | | |
% 69.49/10.42 | | | (519) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 69.49/10.42 | | |
% 69.49/10.42 | | | BETA: splitting (519) gives:
% 69.49/10.42 | | |
% 69.49/10.42 | | | Case 1:
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | (520) all_10_21 = e1
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | COMBINE_EQS: (344), (520) imply:
% 69.49/10.42 | | | | (521) all_4_6 = e1
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (521) implies:
% 69.49/10.42 | | | | (522) all_4_6 = e1
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | COMBINE_EQS: (407), (522) imply:
% 69.49/10.42 | | | | (523) all_8_3 = e1
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (115), (522) imply:
% 69.49/10.42 | | | | (524) ~ (all_4_1 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (96), (522) imply:
% 69.49/10.42 | | | | (525) ~ (all_4_5 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (89), (522) imply:
% 69.49/10.42 | | | | (526) ~ (all_4_7 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (526) implies:
% 69.49/10.42 | | | | (527) ~ (all_4_7 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (88), (522) imply:
% 69.49/10.42 | | | | (528) ~ (all_4_8 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (528) implies:
% 69.49/10.42 | | | | (529) ~ (all_4_8 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (87), (522) imply:
% 69.49/10.42 | | | | (530) ~ (all_4_9 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (530) implies:
% 69.49/10.42 | | | | (531) ~ (all_4_9 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (86), (522) imply:
% 69.49/10.42 | | | | (532) ~ (all_4_11 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (532) implies:
% 69.49/10.42 | | | | (533) ~ (all_4_11 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (85), (522) imply:
% 69.49/10.42 | | | | (534) ~ (all_4_16 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (534) implies:
% 69.49/10.42 | | | | (535) ~ (all_4_16 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (84), (522) imply:
% 69.49/10.42 | | | | (536) ~ (all_4_21 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | SIMP: (536) implies:
% 69.49/10.42 | | | | (537) ~ (all_4_21 = e1)
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | REDUCE: (145), (522) imply:
% 69.49/10.42 | | | | (538) op(e3, e3) = e1
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | BETA: splitting (188) gives:
% 69.49/10.42 | | | |
% 69.49/10.42 | | | | Case 1:
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | (539) all_6_7 = e2
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | COMBINE_EQS: (421), (539) imply:
% 69.49/10.42 | | | | | (540) all_4_11 = e2
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | SIMP: (540) implies:
% 69.49/10.42 | | | | | (541) all_4_11 = e2
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | COMBINE_EQS: (375), (541) imply:
% 69.49/10.42 | | | | | (542) all_8_5 = e2
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | REDUCE: (63), (541) imply:
% 69.49/10.42 | | | | | (543) ~ (all_4_14 = e2)
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | SIMP: (543) implies:
% 69.49/10.42 | | | | | (544) ~ (all_4_14 = e2)
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | REDUCE: (488), (541) imply:
% 69.49/10.42 | | | | | (545) ~ (e3 = e2)
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | SIMP: (545) implies:
% 69.49/10.42 | | | | | (546) ~ (e3 = e2)
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | BETA: splitting (181) gives:
% 69.49/10.42 | | | | |
% 69.49/10.42 | | | | | Case 1:
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | (547) all_6_16 = e2
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | COMBINE_EQS: (434), (547) imply:
% 69.49/10.42 | | | | | | (548) all_4_8 = e2
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | COMBINE_EQS: (391), (548) imply:
% 69.49/10.42 | | | | | | (549) all_8_13 = e2
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | COMBINE_EQS: (313), (548) imply:
% 69.49/10.42 | | | | | | (550) all_10_13 = e2
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | REDUCE: (83), (548) imply:
% 69.49/10.42 | | | | | | (551) ~ (all_4_7 = e2)
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | REDUCE: (78), (548) imply:
% 69.49/10.42 | | | | | | (552) ~ (all_4_9 = e2)
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | SIMP: (552) implies:
% 69.49/10.42 | | | | | | (553) ~ (all_4_9 = e2)
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | REDUCE: (75), (548) imply:
% 69.49/10.42 | | | | | | (554) ~ (all_4_23 = e2)
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | SIMP: (554) implies:
% 69.49/10.42 | | | | | | (555) ~ (all_4_23 = e2)
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | REDUCE: (135), (548) imply:
% 69.49/10.42 | | | | | | (556) op(e1, e3) = e2
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | BETA: splitting (222) gives:
% 69.49/10.42 | | | | | |
% 69.49/10.42 | | | | | | Case 1:
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | | (557) all_8_20 = e2
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | | REF_CLOSE: (396), (471), (557) are inconsistent by sub-proof #116.
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | Case 2:
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | | (558) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 69.49/10.42 | | | | | | | = e2
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | | BETA: splitting (558) gives:
% 69.49/10.42 | | | | | | |
% 69.49/10.42 | | | | | | | Case 1:
% 69.49/10.42 | | | | | | | |
% 69.49/10.43 | | | | | | | | (559) all_8_21 = e2
% 69.49/10.43 | | | | | | | |
% 69.49/10.43 | | | | | | | | REF_CLOSE: (399), (553), (559) are inconsistent by sub-proof
% 69.49/10.43 | | | | | | | | #115.
% 69.49/10.43 | | | | | | | |
% 69.49/10.43 | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | |
% 69.49/10.43 | | | | | | | | (560) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 69.49/10.43 | | | | | | | |
% 69.49/10.43 | | | | | | | | BETA: splitting (560) gives:
% 69.49/10.43 | | | | | | | |
% 69.49/10.43 | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | (561) all_8_22 = e2
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | COMBINE_EQS: (400), (561) imply:
% 69.49/10.43 | | | | | | | | | (562) all_4_14 = e2
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | SIMP: (562) implies:
% 69.49/10.43 | | | | | | | | | (563) all_4_14 = e2
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | REDUCE: (544), (563) imply:
% 69.49/10.43 | | | | | | | | | (564) $false
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | CLOSE: (564) is inconsistent.
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | (565) all_8_23 = e2 | all_8_24 = e2
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | BETA: splitting (565) gives:
% 69.49/10.43 | | | | | | | | |
% 69.49/10.43 | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | (566) all_8_23 = e2
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | COMBINE_EQS: (402), (566) imply:
% 69.49/10.43 | | | | | | | | | | (567) all_4_19 = e2
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | SIMP: (567) implies:
% 69.49/10.43 | | | | | | | | | | (568) all_4_19 = e2
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | REDUCE: (42), (568) imply:
% 69.49/10.43 | | | | | | | | | | (569) ~ (all_4_17 = e2)
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | REDUCE: (507), (568) imply:
% 69.49/10.43 | | | | | | | | | | (570) ~ (e4 = e2)
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | BETA: splitting (177) gives:
% 69.49/10.43 | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | (571) all_6_22 = e2
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | REF_CLOSE: (450), (544), (571) are inconsistent by sub-proof
% 69.49/10.43 | | | | | | | | | | | #114.
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | (572) ~ (all_6_22 = e2)
% 69.49/10.43 | | | | | | | | | | | (573) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 69.49/10.43 | | | | | | | | | | | all_6_22 = e0
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | BETA: splitting (183) gives:
% 69.49/10.43 | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | (574) all_6_13 = e2
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | COMBINE_EQS: (431), (574) imply:
% 69.49/10.43 | | | | | | | | | | | | (575) all_4_17 = e2
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | SIMP: (575) implies:
% 69.49/10.43 | | | | | | | | | | | | (576) all_4_17 = e2
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | REDUCE: (569), (576) imply:
% 69.49/10.43 | | | | | | | | | | | | (577) $false
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | CLOSE: (577) is inconsistent.
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | (578) ~ (all_6_13 = e2)
% 69.49/10.43 | | | | | | | | | | | | (579) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 69.49/10.43 | | | | | | | | | | | | all_6_13 = e0
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | BETA: splitting (184) gives:
% 69.49/10.43 | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | (580) all_6_11 = e2
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | COMBINE_EQS: (425), (580) imply:
% 69.49/10.43 | | | | | | | | | | | | | (581) all_4_7 = e2
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | REDUCE: (551), (581) imply:
% 69.49/10.43 | | | | | | | | | | | | | (582) $false
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | CLOSE: (582) is inconsistent.
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | (583) ~ (all_6_11 = e2)
% 69.49/10.43 | | | | | | | | | | | | | (584) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e1 |
% 69.49/10.43 | | | | | | | | | | | | | all_6_11 = e0
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | BETA: splitting (180) gives:
% 69.49/10.43 | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | (585) all_6_19 = e2
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | COMBINE_EQS: (444), (585) imply:
% 69.49/10.43 | | | | | | | | | | | | | | (586) all_4_23 = e2
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | SIMP: (586) implies:
% 69.49/10.43 | | | | | | | | | | | | | | (587) all_4_23 = e2
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | REDUCE: (555), (587) imply:
% 69.49/10.43 | | | | | | | | | | | | | | (588) $false
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | CLOSE: (588) is inconsistent.
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | (589) ~ (all_6_19 = e2)
% 69.49/10.43 | | | | | | | | | | | | | | (590) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 69.49/10.43 | | | | | | | | | | | | | | all_6_19 = e0
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 69.49/10.43 | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | (591) all_6_2 = e2
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | REF_CLOSE: (420), (475), (591) are inconsistent by sub-proof
% 69.49/10.43 | | | | | | | | | | | | | | | #113.
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | (592) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 69.49/10.43 | | | | | | | | | | | | | | | all_6_2 = e0
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 69.49/10.43 | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | (593) unit = e2
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (15), (23), (593), (function-axioms) are
% 69.49/10.43 | | | | | | | | | | | | | | | | inconsistent by sub-proof #112.
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | Case 2:
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | (594) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 69.49/10.43 | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.43 | | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | | (595) all_8_1 = e0
% 69.49/10.43 | | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (595) imply:
% 69.49/10.43 | | | | | | | | | | | | | | | | | (596) all_4_5 = e0
% 69.49/10.43 | | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | | SIMP: (596) implies:
% 69.49/10.43 | | | | | | | | | | | | | | | | | (597) all_4_5 = e0
% 69.49/10.43 | | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | | REDUCE: (95), (597) imply:
% 69.49/10.43 | | | | | | | | | | | | | | | | | (598) ~ (all_4_7 = e0)
% 69.49/10.43 | | | | | | | | | | | | | | | | |
% 69.49/10.43 | | | | | | | | | | | | | | | | | SIMP: (598) implies:
% 69.49/10.44 | | | | | | | | | | | | | | | | | (599) ~ (all_4_7 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | REDUCE: (91), (597) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | (600) ~ (all_4_15 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | SIMP: (600) implies:
% 69.49/10.44 | | | | | | | | | | | | | | | | | (601) ~ (all_4_15 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | REDUCE: (473), (597) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | (602) ~ (e2 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | REDUCE: (525), (597) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | (603) ~ (e1 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 69.49/10.44 | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (604) all_8_1 = e3
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (604) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (605) e3 = e0
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | REDUCE: (490), (605) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (606) $false
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | CLOSE: (606) is inconsistent.
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (607) ~ (all_8_1 = e3)
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (608) all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | all_8_21 = e3
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | REDUCE: (595), (607) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | (609) ~ (e3 = e0)
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | BETA: splitting (608) gives:
% 69.49/10.44 | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | (610) all_8_3 = e3
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (610) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | (611) e3 = e1
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | REDUCE: (18), (611) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | (612) $false
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | CLOSE: (612) is inconsistent.
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | (613) all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (584) gives:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | (614) all_6_11 = e4
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (614) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | (615) all_4_7 = e4
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | SIMP: (615) implies:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | (616) all_4_7 = e4
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (616) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | (617) all_10_9 = e4
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (616) imply:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | (618) ~ (all_4_2 = e4)
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.44 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (619) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | = e3))))
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (619) gives:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (620) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (620) implies:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | (621) ~ (all_10_9 = e4) | (all_10_8 = e3 & ~ (unit =
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | e4))
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (621) gives:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (622) ~ (all_10_9 = e4)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (622) imply:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (623) $false
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (623) is inconsistent.
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (624) all_10_8 = e3 & ~ (unit = e4)
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (624) implies:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (625) all_10_8 = e3
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (625) imply:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (626) all_4_2 = e3
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (626) imply:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | (627) $false
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (627) is inconsistent.
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.45 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (628) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3)))
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (628) implies:
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | (629) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | e3))
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (326), (329), (551), (629) are inconsistent by
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.46 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (630) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | = e0)))
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (630) gives:
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (631) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (631) implies:
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | (632) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | e2))
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (550), (632) are inconsistent by
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (633) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (634) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 69.49/10.48 | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit =
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | e1))
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | (636) ~ (all_10_15 = e1) | (all_10_23 = e0 & ~ (unit =
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | e1))
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (636) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | (637) ~ (all_10_15 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (302), (637) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | (638) ~ (all_4_23 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (635) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (639) ~ (all_10_21 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (639) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (640) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (640) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_10_6 = e3 & ~ (unit = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_10_6 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (642) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_4_16 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (643) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_4_16 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (644) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_8_10 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_8_9 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (646) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_4_15 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (647) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (648) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (648) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_8_12 = e1
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (650) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_4_3 = e1
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (651) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_4_3 = e1
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (652) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) ~ (all_4_2 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) all_6_10 = e2
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (467), (654) are inconsistent by sub-proof
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #109.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (649) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) all_8_10 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (645), (656) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) e3 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) e3 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (658) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (659) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (660) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_8_11 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (661) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_4_17 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (662) implies:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) all_4_17 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (663) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) ~ (all_4_2 = e0)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (480), (618), (653), (655), (664) are
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_8_15 = e0 | all_8_23 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (304), (500), (566), (665) are inconsistent
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #101.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) ~ (all_8_12 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (666) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) ~ (all_4_3 = e1)
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (590) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_6_19 = e4
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (668) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) all_4_23 = e4
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (669) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (670) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (671) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) all_6_19 = e1
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (672) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_4_23 = e1
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (673) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (674) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) all_6_19 = e3 | all_6_19 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) all_6_19 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (676) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_4_23 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (677) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_8_19 = e3
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (229), (304), (389),
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (393), (549), (667), (678) are inconsistent by
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) all_6_19 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (679) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) all_4_23 = e0
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (502), (680) imply:
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) $false
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (681) is inconsistent.
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (682) all_10_23 = e0 & ~ (unit = e1)
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (682) implies:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (683) all_10_23 = e0
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (683) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (684) e4 = e0
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (684) implies:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (685) e4 = e0
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (685) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (686) $false
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (686) is inconsistent.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (687) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (688) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | e0))
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (302), (310), (555), (688) are inconsistent by
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | (689) ~ (all_6_11 = e4)
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (425), (689) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | (690) ~ (all_4_7 = e4)
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (613) gives:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | (691) all_8_7 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (691) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | (692) all_4_7 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (692) implies:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | (693) all_4_7 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (693) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | (694) $false
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | CLOSE: (694) is inconsistent.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | (695) all_8_13 = e3 | all_8_21 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (695) gives:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | (696) all_8_13 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (696) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | (697) e3 = e2
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (697) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | (698) $false
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (698) is inconsistent.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | (699) all_8_21 = e3
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (700) all_8_1 = e4
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (700) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (701) e4 = e0
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (701) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (702) $false
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (702) is inconsistent.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | (703) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e4
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (704) all_8_3 = e4
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (704) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (705) e4 = e1
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (705) imply:
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | (706) $false
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (706) is inconsistent.
% 69.49/10.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (707) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (708) all_8_7 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (708) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (709) all_4_7 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (690), (709) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (710) $false
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (711) all_8_13 = e4 | all_8_21 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_8_13 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (712) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (713) e4 = e2
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (713) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (714) $false
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (714) is inconsistent.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_8_21 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (715) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (716) e4 = e3
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (716) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (717) $false
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | End of split
% 69.49/10.51 | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | (718) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 69.49/10.51 | | | | | | | | | | | | | | | | | all_8_21 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | (719) all_8_3 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (523), (719) are inconsistent by sub-proof
% 69.49/10.51 | | | | | | | | | | | | | | | | | | #95.
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | (720) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (721) all_8_7 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (721) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (722) all_4_7 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | SIMP: (722) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (723) all_4_7 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | REDUCE: (109), (723) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (724) ~ (all_4_2 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | REDUCE: (80), (723) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (725) ~ (all_4_17 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | SIMP: (725) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (726) ~ (all_4_17 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | REDUCE: (483), (723) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (727) ~ (e3 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | REDUCE: (551), (723) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (728) ~ (e2 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (723) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | (729) op(e2, e3) = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | (730) all_8_0 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (460), (730) are inconsistent by sub-proof
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | #94.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | (731) all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | all_8_20 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | (732) all_8_2 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (732) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | (733) all_4_1 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (733) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | (734) all_4_1 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (734) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_4_16 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (735) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | (736) ~ (all_4_16 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (579) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | (737) all_6_13 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (505), (737) are inconsistent by sub-proof
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | #93.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | (738) ~ (all_6_13 = e4)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | (739) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (739) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (740) all_6_13 = e1
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (740) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (741) all_4_17 = e1
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (741) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (742) all_4_17 = e1
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (742) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (743) all_8_11 = e1
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (742) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (744) ~ (all_4_15 = e1)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (742) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (745) ~ (e4 = e1)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (742) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (746) ~ (e3 = e1)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (742) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | (747) ~ (e2 = e1)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (748) all_8_9 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (748) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (749) all_4_15 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (749) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (750) all_4_15 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (750) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (751) ~ (all_4_5 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (750) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (752) ~ (all_4_20 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (752) implies:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (753) ~ (all_4_20 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (744), (750) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (754) ~ (e1 = e0)
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (750) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (755) op(e4, e1) = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_8_2 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (756) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (757) e4 = e0
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (757) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (758) $false
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (758) is inconsistent.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_8_3 = e4
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (523), (760) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (761) e4 = e1
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (761) imply:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (762) $false
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (762) is inconsistent.
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (763) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_8_5 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (764) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) e4 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (765) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (766) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_8_10 = e4 | all_8_17 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_8_10 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (377), (504), (768) are inconsistent by sub-proof
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_8_17 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (769) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_4_21 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_4_21 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (771) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) ~ (all_4_20 = e4)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_6_1 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (773) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_4_5 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (774) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (775) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_6_4 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (777) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_4_20 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (778) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_8_12 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (781) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_4_3 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (782) implies:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_4_3 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (783) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) ~ (all_4_4 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) ~ (all_4_4 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_8_16 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (786) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_4_20 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (787) implies:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_4_20 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (788) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) ~ (all_4_10 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_8_20 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (790) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) all_4_4 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (791) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (792) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (793) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_8_21 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (794) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_4_9 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (795) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (796) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_8_22 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (798) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_4_14 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (799) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) op(e0, e2) = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (594) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) unit = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (801) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) op(e4, e1) = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1,
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (755), (802) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) e1 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (803) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (804) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) unit = e3 | unit = e1 | unit = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) unit = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16), (23), (806), (function-axioms) are
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #91.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) unit = e3 | unit = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (807) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) unit = e3
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (808) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) op(e2, e3) = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (808) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) op(e1, e3) = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3,
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (556), (810) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) e2 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e3,
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (729), (809) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) e2 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (811), (812) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) e1 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (813) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (814) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) unit = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (815) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) op(e0, e2) = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (800), (816) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) e2 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (817) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (818) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) ~ (all_8_22 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (819) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) ~ (all_4_14 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (573) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_6_22 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (821) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_4_14 = e4
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (822) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) ~ (all_4_10 = e4)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (592), (789), (823) are
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (492), (498), (820), (824) are inconsistent
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #85.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) ~ (all_8_16 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (825) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) ~ (all_4_20 = e1)
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_8_12 = e3
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (781), (827) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) e3 = e1
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (828) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (829) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (830) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_8_13 = e3
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (831) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) e3 = e2
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (832) imply:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) $false
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (833) is inconsistent.
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (834) gives:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) all_8_14 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (835) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) e3 = e0
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (836) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) $false
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (837) is inconsistent.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) all_8_15 = e3 | all_8_19 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (838) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_8_15 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (304), (839) are inconsistent by sub-proof
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_8_19 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (840) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) all_4_23 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (841) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) ~ (all_4_20 = e3)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (753), (772), (780), (826), (842) are
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (843) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_8_13 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (549), (844) are inconsistent by sub-proof
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #99.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (845) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) all_8_14 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (846) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) e1 = e0
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (847) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) $false
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (848) is inconsistent.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_8_15 = e1 | all_8_19 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (849) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_8_15 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (304), (850) are inconsistent by sub-proof
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98.
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) all_8_19 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (851) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_4_23 = e1
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (852) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) ~ (all_4_3 = e1)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (852) imply:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) ~ (all_4_20 = e1)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (855) gives:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (856) implies:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) ~ (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (857) gives:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) ~ (all_10_23 = e4)
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (461), (858) imply:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) $false
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (859) is inconsistent.
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_10_12 = e1 & ~ (unit = e4)
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (860) implies:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_10_12 = e1
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (861) imply:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) all_4_3 = e1
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (853), (862) imply:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) $false
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (863) is inconsistent.
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)))
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (864) implies:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (326), (329), (551), (865) are inconsistent by
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 69.49/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (866) gives:
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (867) implies:
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (550), (868) are inconsistent by
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (869) gives:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (870) implies:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (780) gives:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) all_6_4 = e4
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (772), (872) are inconsistent by sub-proof
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (871) gives:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) ~ (all_10_1 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (356), (874) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) ~ (all_4_10 = e1)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) all_8_16 = e3
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (876) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) all_4_20 = e3
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (877) implies:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_4_20 = e3
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (878) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) ~ (all_4_5 = e3)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (776) gives:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_6_1 = e4
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (880) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_4_5 = e4
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (881) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) ~ (all_4_10 = e4)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) ~ (all_4_10 = e4)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (592), (875), (883) are
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (525), (751), (879), (884) are inconsistent
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #79.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) ~ (all_8_16 = e3)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (885) imply:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) ~ (all_4_20 = e3)
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (753), (854), (873), (886) are inconsistent
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #78.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) all_10_1 = e1
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (353), (477), (871), (887) are inconsistent by
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (888) implies:
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (302), (310), (555), (889) are inconsistent by
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (890) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (890) gives:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_8_10 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (377), (736), (891) are inconsistent by sub-proof
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (892) gives:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_8_11 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (743), (893) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (894) e1 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (894) implies:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (895) e1 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (895) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (896) $false
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (896) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_8_15 = e0 | all_8_23 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (304), (500), (566), (897) are inconsistent
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #101.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | (898) all_6_13 = e3 | all_6_13 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (898) gives:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (899) all_6_13 = e3
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (899) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (900) all_4_17 = e3
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (900) implies:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (901) all_4_17 = e3
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (901) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (902) $false
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (902) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (903) all_6_13 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (903) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (904) all_4_17 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (904) implies:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (905) all_4_17 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (905) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (906) $false
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (906) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | (907) all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (907) gives:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | (908) all_8_6 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (908) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | (909) all_4_2 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (724), (909) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | (910) $false
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (910) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | (911) all_8_12 = e0 | all_8_20 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (389), (396), (481), (514), (911) are inconsistent
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #75.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | (912) all_8_13 = e0 | all_8_21 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (912) gives:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | (913) all_8_13 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (549), (913) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | (914) e2 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | SIMP: (914) implies:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | (915) e2 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (915) imply:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | (916) $false
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (916) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | (917) all_8_21 = e0
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (399), (515), (917) are inconsistent by sub-proof
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | | #74.
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | (918) all_8_24 = e2
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | COMBINE_EQS: (510), (918) imply:
% 69.49/10.58 | | | | | | | | | | (919) e2 = e0
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | REDUCE: (16), (919) imply:
% 69.49/10.58 | | | | | | | | | | (920) $false
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | CLOSE: (920) is inconsistent.
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | End of split
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | End of split
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | End of split
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | End of split
% 69.49/10.58 | | | | | |
% 69.49/10.58 | | | | | Case 2:
% 69.49/10.58 | | | | | |
% 69.49/10.58 | | | | | | (921) ~ (all_6_16 = e2)
% 69.49/10.58 | | | | | | (922) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 | all_6_16 =
% 69.49/10.58 | | | | | | e0
% 69.49/10.58 | | | | | |
% 69.49/10.58 | | | | | | REDUCE: (434), (921) imply:
% 69.49/10.58 | | | | | | (923) ~ (all_4_8 = e2)
% 69.49/10.58 | | | | | |
% 69.49/10.58 | | | | | | BETA: splitting (922) gives:
% 69.49/10.58 | | | | | |
% 69.49/10.58 | | | | | | Case 1:
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | (924) all_6_16 = e4
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | COMBINE_EQS: (434), (924) imply:
% 69.49/10.58 | | | | | | | (925) all_4_8 = e4
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | REDUCE: (485), (925) imply:
% 69.49/10.58 | | | | | | | (926) $false
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | CLOSE: (926) is inconsistent.
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | Case 2:
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | (927) ~ (all_6_16 = e4)
% 69.49/10.58 | | | | | | | (928) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | BETA: splitting (230) gives:
% 69.49/10.58 | | | | | | |
% 69.49/10.58 | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | | (929) all_8_12 = e2
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | | REF_CLOSE: (389), (469), (929) are inconsistent by sub-proof
% 69.49/10.58 | | | | | | | | #73.
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | | (930) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 69.49/10.58 | | | | | | | | all_8_19 = e2
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | | BETA: splitting (930) gives:
% 69.49/10.58 | | | | | | | |
% 69.49/10.58 | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | | (931) all_8_13 = e2
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | | REF_CLOSE: (391), (923), (931) are inconsistent by sub-proof
% 69.49/10.58 | | | | | | | | | #72.
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | | (932) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | | BETA: splitting (928) gives:
% 69.49/10.58 | | | | | | | | |
% 69.49/10.58 | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | (933) all_6_16 = e1
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | COMBINE_EQS: (434), (933) imply:
% 69.49/10.58 | | | | | | | | | | (934) all_4_8 = e1
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | REDUCE: (529), (934) imply:
% 69.49/10.58 | | | | | | | | | | (935) $false
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | CLOSE: (935) is inconsistent.
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | (936) ~ (all_6_16 = e1)
% 69.49/10.58 | | | | | | | | | | (937) all_6_16 = e3 | all_6_16 = e0
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | BETA: splitting (937) gives:
% 69.49/10.58 | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | (938) all_6_16 = e3
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | COMBINE_EQS: (434), (938) imply:
% 69.49/10.58 | | | | | | | | | | | (939) all_4_8 = e3
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | REDUCE: (104), (939) imply:
% 69.49/10.58 | | | | | | | | | | | (940) ~ (all_4_3 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | REDUCE: (94), (939) imply:
% 69.49/10.58 | | | | | | | | | | | (941) ~ (all_4_5 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | REDUCE: (78), (939) imply:
% 69.49/10.58 | | | | | | | | | | | (942) ~ (all_4_9 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | SIMP: (942) implies:
% 69.49/10.58 | | | | | | | | | | | (943) ~ (all_4_9 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | REDUCE: (75), (939) imply:
% 69.49/10.58 | | | | | | | | | | | (944) ~ (all_4_23 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | SIMP: (944) implies:
% 69.49/10.58 | | | | | | | | | | | (945) ~ (all_4_23 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | REDUCE: (485), (939) imply:
% 69.49/10.58 | | | | | | | | | | | (946) ~ (e4 = e3)
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | BETA: splitting (932) gives:
% 69.49/10.58 | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | (947) all_8_14 = e2
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | COMBINE_EQS: (393), (947) imply:
% 69.49/10.58 | | | | | | | | | | | | (948) e2 = e0
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | REDUCE: (16), (948) imply:
% 69.49/10.58 | | | | | | | | | | | | (949) $false
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | CLOSE: (949) is inconsistent.
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | (950) all_8_15 = e2 | all_8_19 = e2
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | BETA: splitting (950) gives:
% 69.49/10.58 | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | (951) all_8_15 = e2
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | REF_CLOSE: (20), (304), (951) are inconsistent by sub-proof
% 69.49/10.58 | | | | | | | | | | | | | #71.
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | Case 2:
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | (952) all_8_19 = e2
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | COMBINE_EQS: (395), (952) imply:
% 69.49/10.58 | | | | | | | | | | | | | (953) all_4_23 = e2
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | SIMP: (953) implies:
% 69.49/10.58 | | | | | | | | | | | | | (954) all_4_23 = e2
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | REDUCE: (30), (954) imply:
% 69.49/10.58 | | | | | | | | | | | | | (955) ~ (all_4_22 = e2)
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | BETA: splitting (229) gives:
% 69.49/10.58 | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | (956) all_8_12 = e1
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | COMBINE_EQS: (389), (956) imply:
% 69.49/10.58 | | | | | | | | | | | | | | (957) all_4_3 = e1
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | SIMP: (957) implies:
% 69.49/10.58 | | | | | | | | | | | | | | (958) all_4_3 = e1
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | REDUCE: (105), (958) imply:
% 69.49/10.58 | | | | | | | | | | | | | | (959) ~ (all_4_4 = e1)
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | SIMP: (959) implies:
% 69.49/10.58 | | | | | | | | | | | | | | (960) ~ (all_4_4 = e1)
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 69.49/10.58 | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | Case 1:
% 69.49/10.58 | | | | | | | | | | | | | | |
% 69.49/10.58 | | | | | | | | | | | | | | | (961) all_6_2 = e2
% 69.49/10.58 | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | REF_CLOSE: (420), (475), (961) are inconsistent by sub-proof
% 69.49/10.59 | | | | | | | | | | | | | | | #113.
% 69.49/10.59 | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | (962) ~ (all_6_2 = e2)
% 69.49/10.59 | | | | | | | | | | | | | | | (963) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 |
% 69.49/10.59 | | | | | | | | | | | | | | | all_6_2 = e0
% 69.49/10.59 | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 69.49/10.59 | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | (964) all_6_22 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | REF_CLOSE: (450), (544), (964) are inconsistent by sub-proof
% 69.49/10.59 | | | | | | | | | | | | | | | | #114.
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | (965) ~ (all_6_22 = e2)
% 69.49/10.59 | | | | | | | | | | | | | | | | (966) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 69.49/10.59 | | | | | | | | | | | | | | | | all_6_22 = e0
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | (967) all_6_21 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (967) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | (968) all_4_9 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (968) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | (969) all_8_21 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (296), (968) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | (970) all_10_17 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | REDUCE: (82), (968) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | (971) ~ (all_4_7 = e2)
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | (972) all_8_6 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (972) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | (973) all_4_2 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | REDUCE: (467), (973) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | (974) $false
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | CLOSE: (974) is inconsistent.
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | (975) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | all_8_18 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | BETA: splitting (975) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | (976) all_8_7 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (976) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | (977) all_4_7 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | SIMP: (977) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | (978) all_4_7 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | REDUCE: (971), (978) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | (979) $false
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | CLOSE: (979) is inconsistent.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | (980) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (980) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | (981) all_8_8 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (409), (546), (981) are inconsistent by sub-proof
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | #70.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | (982) all_8_11 = e2 | all_8_18 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (982) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | (983) all_8_11 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (983) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | (984) all_4_17 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (984) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | (985) all_4_17 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (985) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | (986) ~ (e4 = e2)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | (987) all_6_20 = e2
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (471), (987) are inconsistent by sub-proof
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | #69.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | (988) ~ (all_6_20 = e2)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | (989) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (990) all_8_4 = e4
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (990) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (991) all_4_10 = e4
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (991) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (992) ~ (all_4_5 = e4)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (991) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (993) ~ (all_4_14 = e4)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (9), (10), (12), (23), (129), (150),
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (193), (247), (365), (416), (450), (473), (492),
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (498), (525), (538), (544), (941), (966), (992),
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (993), (function-axioms) are inconsistent by
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (994) ~ (all_8_4 = e4)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (994) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | (995) ~ (all_4_10 = e4)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (963) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (996) all_6_2 = e4
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (995), (996) are inconsistent by sub-proof
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | #90.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (997) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (997) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_6_2 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (998) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_4_10 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (999) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_4_10 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (356), (1000) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_10_1 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1000) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1002) ~ (all_4_14 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1002) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1003) ~ (all_4_14 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1000) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1004) ~ (all_4_15 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1004) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1005) ~ (all_4_15 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1000) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1006) ~ (all_4_20 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1006) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1007) ~ (all_4_20 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1000) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1008) ~ (e2 = e1)
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_8_9 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (1005), (1009) are inconsistent by
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_8_10 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (1011) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_4_16 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1012) implies:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_4_16 = e1
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (1013) imply:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) $false
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1014) is inconsistent.
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1015) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_8_11 = e1
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (983), (1016) are inconsistent by sub-proof
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_8_15 = e1 | all_8_23 = e1
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_8_20 = e3
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1018) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_4_4 = e3
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1019) implies:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_4_4 = e3
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_8_20 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (1021) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) e4 = e3
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1022) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) $false
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1023) is inconsistent.
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1024) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_8_21 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (969), (1025) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) e4 = e2
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1026) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) $false
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1027) is inconsistent.
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1028) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_8_22 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1029) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_4_14 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1030) implies:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_4_14 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (293), (1031) imply:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_10_18 = e4
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 69.49/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (326), (329), (471), (971), (1032), (1033)
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #62.
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.49/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives:
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (970), (1032), (1035) are inconsistent by
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1036) gives:
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (353), (477), (1001), (1038) are inconsistent by
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1039) implies:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) ~ (all_10_6 = e0) | (all_10_7 = e1 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit =
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1040) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) ~ (all_10_6 = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (338), (1042) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) ~ (all_4_16 = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1041) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_10_2 = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (1044) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_4_15 = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_8_9 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (1045), (1046) are inconsistent by
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1047) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_8_10 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (377), (1043), (1048) are inconsistent by
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1049) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_8_11 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (983), (1050) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) e2 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1051) implies:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) e2 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1052) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) $false
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1053) is inconsistent.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_8_15 = e0 | all_8_23 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1054) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_8_15 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (304), (500), (1055) are inconsistent by sub-proof
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #103.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_8_23 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (304), (1017), (1056) are inconsistent
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #59.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_10_3 = e1 & ~ (unit = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (1007), (1057) are inconsistent by
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_10_7 = e1 & ~ (unit = e0)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1058) implies:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_10_7 = e1
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1059) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_4_21 = e1
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (537), (1060) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) $false
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1061) is inconsistent.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) ~ (all_8_22 = e4)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (1062) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) ~ (all_4_14 = e4)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (492), (498), (966), (1003), (1063) are
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) ~ (all_8_20 = e3)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (1064) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) ~ (all_4_4 = e3)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (966) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_6_22 = e4
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1066) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_4_14 = e4
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (1067) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) ~ (all_4_4 = e4)
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_6_20 = e4
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1068), (1069) are inconsistent by
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (514), (960), (1065), (1070) are
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (492), (498), (1003), (1071) are
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_6_2 = e3 | all_6_2 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (1072) are inconsistent by
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | (1073) all_8_18 = e2
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (317), (955), (1073) are inconsistent by sub-proof
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | | #52.
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | End of split
% 70.13/10.64 | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.64 | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | (1074) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e1 |
% 70.13/10.64 | | | | | | | | | | | | | | | | | all_6_21 = e0
% 70.13/10.64 | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | BETA: splitting (1074) gives:
% 70.13/10.64 | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.64 | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | (1075) all_6_21 = e4
% 70.13/10.64 | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1075) imply:
% 70.13/10.64 | | | | | | | | | | | | | | | | | | (1076) all_4_9 = e4
% 70.13/10.64 | | | | | | | | | | | | | | | | | |
% 70.13/10.64 | | | | | | | | | | | | | | | | | | REDUCE: (93), (1076) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (1077) ~ (all_4_5 = e4)
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | REDUCE: (74), (1076) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (1078) ~ (all_4_14 = e4)
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (9), (10), (12), (23), (129), (150),
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (193), (247), (365), (416), (450), (473), (492),
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (498), (525), (538), (544), (941), (966), (1077),
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (1078), (function-axioms) are inconsistent by
% 70.13/10.65 | | | | | | | | | | | | | | | | | | sub-proof #66.
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | (1079) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | (1080) all_6_21 = e1
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1080) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | (1081) all_4_9 = e1
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | REDUCE: (531), (1081) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | (1082) $false
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | CLOSE: (1082) is inconsistent.
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | (1083) all_6_21 = e3 | all_6_21 = e0
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (1083) gives:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1084) all_6_21 = e3
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1084) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1085) all_4_9 = e3
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (1085) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1086) $false
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (1086) is inconsistent.
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1087) all_6_21 = e0
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1087) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1088) all_4_9 = e0
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1088) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | (1089) $false
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (1089) is inconsistent.
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | (1090) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 70.13/10.65 | | | | | | | | | | | | | | all_8_19 = e1
% 70.13/10.65 | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 70.13/10.65 | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | (1091) all_8_12 = e3
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1091) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | (1092) all_4_3 = e3
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | SIMP: (1092) implies:
% 70.13/10.65 | | | | | | | | | | | | | | | (1093) all_4_3 = e3
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | REDUCE: (940), (1093) imply:
% 70.13/10.65 | | | | | | | | | | | | | | | (1094) $false
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | CLOSE: (1094) is inconsistent.
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | (1095) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 70.13/10.65 | | | | | | | | | | | | | | | all_8_19 = e3
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (304), (393), (490),
% 70.13/10.65 | | | | | | | | | | | | | | | (546), (952), (1090), (1095) are inconsistent by
% 70.13/10.65 | | | | | | | | | | | | | | | sub-proof #48.
% 70.13/10.65 | | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | (1096) all_6_16 = e0
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | COMBINE_EQS: (434), (1096) imply:
% 70.13/10.65 | | | | | | | | | | | (1097) all_4_8 = e0
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | REDUCE: (484), (1097) imply:
% 70.13/10.65 | | | | | | | | | | | (1098) $false
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | CLOSE: (1098) is inconsistent.
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | End of split
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | End of split
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | End of split
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | End of split
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | End of split
% 70.13/10.65 | | | | |
% 70.13/10.65 | | | | Case 2:
% 70.13/10.65 | | | | |
% 70.13/10.65 | | | | | (1099) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 70.13/10.65 | | | | |
% 70.13/10.65 | | | | | BETA: splitting (1099) gives:
% 70.13/10.65 | | | | |
% 70.13/10.65 | | | | | Case 1:
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | (1100) all_6_7 = e4
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | COMBINE_EQS: (421), (1100) imply:
% 70.13/10.65 | | | | | | (1101) all_4_11 = e4
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | SIMP: (1101) implies:
% 70.13/10.65 | | | | | | (1102) all_4_11 = e4
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | COMBINE_EQS: (375), (1102) imply:
% 70.13/10.65 | | | | | | (1103) all_8_5 = e4
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | COMBINE_EQS: (341), (1102) imply:
% 70.13/10.65 | | | | | | (1104) all_10_5 = e4
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | REDUCE: (71), (1102) imply:
% 70.13/10.65 | | | | | | (1105) ~ (all_4_10 = e4)
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | REDUCE: (63), (1102) imply:
% 70.13/10.65 | | | | | | (1106) ~ (all_4_14 = e4)
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | SIMP: (1106) implies:
% 70.13/10.65 | | | | | | (1107) ~ (all_4_14 = e4)
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | REDUCE: (61), (1102) imply:
% 70.13/10.65 | | | | | | (1108) ~ (all_4_21 = e4)
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | SIMP: (1108) implies:
% 70.13/10.65 | | | | | | (1109) ~ (all_4_21 = e4)
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | BETA: splitting (192) gives:
% 70.13/10.65 | | | | | |
% 70.13/10.65 | | | | | | Case 1:
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | | (1110) all_6_2 = e2
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | | REF_CLOSE: (420), (475), (1110) are inconsistent by sub-proof
% 70.13/10.65 | | | | | | | #113.
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | Case 2:
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | | (1111) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 =
% 70.13/10.65 | | | | | | | e0
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | | BETA: splitting (1111) gives:
% 70.13/10.65 | | | | | | |
% 70.13/10.65 | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | | (1112) all_6_2 = e4
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | | REF_CLOSE: (420), (1105), (1112) are inconsistent by sub-proof
% 70.13/10.65 | | | | | | | | #90.
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | Case 2:
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | | (1113) ~ (all_6_2 = e4)
% 70.13/10.65 | | | | | | | | (1114) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | | BETA: splitting (1114) gives:
% 70.13/10.65 | | | | | | | |
% 70.13/10.65 | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | (1115) all_6_2 = e1
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | COMBINE_EQS: (420), (1115) imply:
% 70.13/10.65 | | | | | | | | | (1116) all_4_10 = e1
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | SIMP: (1116) implies:
% 70.13/10.65 | | | | | | | | | (1117) all_4_10 = e1
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | COMBINE_EQS: (356), (1117) imply:
% 70.13/10.65 | | | | | | | | | (1118) all_10_1 = e1
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | REDUCE: (68), (1117) imply:
% 70.13/10.65 | | | | | | | | | (1119) ~ (all_4_14 = e1)
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | SIMP: (1119) implies:
% 70.13/10.65 | | | | | | | | | (1120) ~ (all_4_14 = e1)
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | REDUCE: (1105), (1117) imply:
% 70.13/10.65 | | | | | | | | | (1121) ~ (e4 = e1)
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | BETA: splitting (177) gives:
% 70.13/10.65 | | | | | | | | |
% 70.13/10.65 | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | (1122) all_6_22 = e2
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | COMBINE_EQS: (450), (1122) imply:
% 70.13/10.65 | | | | | | | | | | (1123) all_4_14 = e2
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | SIMP: (1123) implies:
% 70.13/10.65 | | | | | | | | | | (1124) all_4_14 = e2
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | REDUCE: (53), (1124) imply:
% 70.13/10.65 | | | | | | | | | | (1125) ~ (all_4_19 = e2)
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | SIMP: (1125) implies:
% 70.13/10.65 | | | | | | | | | | (1126) ~ (all_4_19 = e2)
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | REDUCE: (1107), (1124) imply:
% 70.13/10.65 | | | | | | | | | | (1127) ~ (e4 = e2)
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | BETA: splitting (186) gives:
% 70.13/10.65 | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | (1128) all_6_9 = e2
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | COMBINE_EQS: (441), (1128) imply:
% 70.13/10.65 | | | | | | | | | | | (1129) all_4_21 = e2
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | SIMP: (1129) implies:
% 70.13/10.65 | | | | | | | | | | | (1130) all_4_21 = e2
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | COMBINE_EQS: (335), (1130) imply:
% 70.13/10.65 | | | | | | | | | | | (1131) all_10_7 = e2
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | REDUCE: (44), (1130) imply:
% 70.13/10.65 | | | | | | | | | | | (1132) ~ (all_4_16 = e2)
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | REDUCE: (32), (1130) imply:
% 70.13/10.65 | | | | | | | | | | | (1133) ~ (all_4_23 = e2)
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | SIMP: (1133) implies:
% 70.13/10.65 | | | | | | | | | | | (1134) ~ (all_4_23 = e2)
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | BETA: splitting (283) gives:
% 70.13/10.65 | | | | | | | | | | |
% 70.13/10.65 | | | | | | | | | | | Case 1:
% 70.13/10.65 | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | (1135) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 70.13/10.66 | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 70.13/10.66 | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 70.13/10.66 | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 70.13/10.66 | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 70.13/10.66 | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 70.13/10.66 | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 70.13/10.66 | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 70.13/10.66 | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 70.13/10.66 | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 70.13/10.66 | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 70.13/10.66 | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 70.13/10.66 | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 70.13/10.66 | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 70.13/10.66 | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 70.13/10.66 | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 70.13/10.66 | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.13/10.66 | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 70.13/10.66 | | | | | | | | | | | | = e3))))
% 70.13/10.66 | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | BETA: splitting (1135) gives:
% 70.13/10.66 | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | Case 1:
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | (1136) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 70.13/10.66 | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 70.13/10.66 | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 70.13/10.66 | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 70.13/10.66 | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 70.13/10.66 | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 70.13/10.66 | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 70.13/10.66 | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.13/10.66 | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 70.13/10.66 | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | ALPHA: (1136) implies:
% 70.13/10.66 | | | | | | | | | | | | | (1137) ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 70.13/10.66 | | | | | | | | | | | | | e4))
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | BETA: splitting (1137) gives:
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | Case 1:
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | | (1138) ~ (all_10_5 = e4)
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | | REDUCE: (1104), (1138) imply:
% 70.13/10.66 | | | | | | | | | | | | | | (1139) $false
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | | CLOSE: (1139) is inconsistent.
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | Case 2:
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | | (1140) all_10_4 = e2 & ~ (unit = e4)
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | | REF_CLOSE: (347), (465), (1140) are inconsistent by sub-proof
% 70.13/10.66 | | | | | | | | | | | | | | #47.
% 70.13/10.66 | | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | | End of split
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.66 | | | | | | | | | | | | Case 2:
% 70.13/10.66 | | | | | | | | | | | | |
% 70.13/10.67 | | | | | | | | | | | | | (1141) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 70.13/10.68 | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.13/10.68 | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 70.13/10.68 | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 70.13/10.68 | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 70.13/10.68 | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 70.13/10.68 | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 70.13/10.68 | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 70.13/10.68 | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 70.13/10.68 | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 70.13/10.68 | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 70.13/10.68 | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 70.13/10.68 | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 70.13/10.68 | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.13/10.68 | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3)))
% 70.13/10.68 | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | ALPHA: (1141) implies:
% 70.13/10.68 | | | | | | | | | | | | | (1142) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | | e3))
% 70.13/10.68 | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | BETA: splitting (1142) gives:
% 70.13/10.68 | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | Case 1:
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | (1143) ~ (all_10_22 = e3)
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | REDUCE: (326), (1143) imply:
% 70.13/10.68 | | | | | | | | | | | | | | (1144) $false
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent.
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | Case 2:
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | (1145) all_10_9 = e2 & ~ (unit = e3)
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | ALPHA: (1145) implies:
% 70.13/10.68 | | | | | | | | | | | | | | (1146) all_10_9 = e2
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | COMBINE_EQS: (329), (1146) imply:
% 70.13/10.68 | | | | | | | | | | | | | | (1147) all_4_7 = e2
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | SIMP: (1147) implies:
% 70.13/10.68 | | | | | | | | | | | | | | (1148) all_4_7 = e2
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | REDUCE: (80), (1148) imply:
% 70.13/10.68 | | | | | | | | | | | | | | (1149) ~ (all_4_17 = e2)
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | SIMP: (1149) implies:
% 70.13/10.68 | | | | | | | | | | | | | | (1150) ~ (all_4_17 = e2)
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | Case 1:
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | (1151) all_8_9 = e2
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | REF_CLOSE: (369), (477), (1151) are inconsistent by sub-proof
% 70.13/10.68 | | | | | | | | | | | | | | | #46.
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | Case 2:
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | (1152) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 70.13/10.68 | | | | | | | | | | | | | | | all_8_23 = e2
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | BETA: splitting (1152) gives:
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | Case 1:
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | | (1153) all_8_10 = e2
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | | REF_CLOSE: (377), (1132), (1153) are inconsistent by
% 70.13/10.68 | | | | | | | | | | | | | | | | sub-proof #45.
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | Case 2:
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | | (1154) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (385), (402), (1126), (1150), (1154)
% 70.13/10.68 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #42.
% 70.13/10.68 | | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | | End of split
% 70.13/10.68 | | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | | End of split
% 70.13/10.68 | | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | | End of split
% 70.13/10.68 | | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | End of split
% 70.13/10.68 | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | Case 2:
% 70.13/10.68 | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | (1155) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 70.13/10.68 | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 70.13/10.68 | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.13/10.68 | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 70.13/10.68 | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 70.13/10.68 | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 70.13/10.68 | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.13/10.68 | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.13/10.68 | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.13/10.68 | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.13/10.68 | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.13/10.68 | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.13/10.68 | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.13/10.68 | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.13/10.68 | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.13/10.68 | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.13/10.68 | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.13/10.68 | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.13/10.68 | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.13/10.68 | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.13/10.68 | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.13/10.68 | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.13/10.68 | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.13/10.68 | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.13/10.68 | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.13/10.68 | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.13/10.68 | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.13/10.68 | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.13/10.68 | | | | | | | | | | | | = e0)))
% 70.13/10.68 | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | BETA: splitting (1155) gives:
% 70.13/10.68 | | | | | | | | | | | |
% 70.13/10.68 | | | | | | | | | | | | Case 1:
% 70.13/10.68 | | | | | | | | | | | | |
% 70.13/10.69 | | | | | | | | | | | | | (1156) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 70.13/10.69 | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 70.13/10.69 | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.13/10.69 | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 70.13/10.69 | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 70.13/10.69 | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 70.13/10.69 | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 70.13/10.69 | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 70.13/10.69 | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 70.13/10.69 | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 70.13/10.70 | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 70.13/10.70 | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 70.13/10.70 | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 70.13/10.70 | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | ALPHA: (1156) implies:
% 70.13/10.70 | | | | | | | | | | | | | (1157) ~ (all_10_7 = e2) | (all_10_5 = e0 & ~ (unit =
% 70.13/10.70 | | | | | | | | | | | | | e2))
% 70.13/10.70 | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | BETA: splitting (1157) gives:
% 70.13/10.70 | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | Case 1:
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | (1158) ~ (all_10_7 = e2)
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | REDUCE: (1131), (1158) imply:
% 70.13/10.70 | | | | | | | | | | | | | | (1159) $false
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | CLOSE: (1159) is inconsistent.
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | Case 2:
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | (1160) all_10_5 = e0 & ~ (unit = e2)
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 70.13/10.70 | | | | | | | | | | | | | | (1161) all_10_5 = e0
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | COMBINE_EQS: (1104), (1161) imply:
% 70.13/10.70 | | | | | | | | | | | | | | (1162) e4 = e0
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | SIMP: (1162) implies:
% 70.13/10.70 | | | | | | | | | | | | | | (1163) e4 = e0
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | REDUCE: (500), (1163) imply:
% 70.13/10.70 | | | | | | | | | | | | | | (1164) $false
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | | CLOSE: (1164) is inconsistent.
% 70.13/10.70 | | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | | End of split
% 70.13/10.70 | | | | | | | | | | | | |
% 70.13/10.70 | | | | | | | | | | | | Case 2:
% 70.13/10.70 | | | | | | | | | | | | |
% 70.63/10.70 | | | | | | | | | | | | | (1165) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.63/10.70 | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.63/10.70 | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.63/10.70 | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.63/10.70 | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.63/10.70 | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.63/10.70 | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.63/10.70 | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.63/10.70 | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.63/10.70 | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.63/10.70 | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.63/10.70 | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.63/10.70 | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.63/10.70 | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.63/10.70 | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.63/10.70 | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.63/10.70 | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.63/10.70 | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.63/10.70 | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.63/10.70 | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.63/10.70 | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.63/10.70 | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.63/10.70 | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.63/10.70 | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.70 | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.63/10.70 | | | | | | | | | | | | | = e0)))
% 70.63/10.70 | | | | | | | | | | | | |
% 70.63/10.70 | | | | | | | | | | | | | BETA: splitting (1165) gives:
% 70.63/10.70 | | | | | | | | | | | | |
% 70.63/10.70 | | | | | | | | | | | | | Case 1:
% 70.63/10.70 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | (1166) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 70.63/10.71 | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 70.63/10.71 | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 70.63/10.71 | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 70.63/10.71 | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 70.63/10.71 | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 70.63/10.71 | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 70.63/10.71 | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 70.63/10.71 | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1)))
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | ALPHA: (1166) implies:
% 70.63/10.71 | | | | | | | | | | | | | | (1167) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e1))
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | REF_CLOSE: (353), (477), (1118), (1167) are inconsistent by
% 70.63/10.71 | | | | | | | | | | | | | | sub-proof #77.
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | Case 2:
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | (1168) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 70.63/10.71 | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 70.63/10.71 | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 70.63/10.71 | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 70.63/10.71 | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 70.63/10.71 | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 70.63/10.71 | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 70.63/10.71 | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 70.63/10.71 | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 70.63/10.71 | | | | | | | | | | | | | | ~ (unit = e0))
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | ALPHA: (1168) implies:
% 70.63/10.71 | | | | | | | | | | | | | | (1169) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 70.63/10.71 | | | | | | | | | | | | | | e0))
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | REF_CLOSE: (302), (310), (1134), (1169) are inconsistent by
% 70.63/10.71 | | | | | | | | | | | | | | sub-proof #96.
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | End of split
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | End of split
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | End of split
% 70.63/10.71 | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | Case 2:
% 70.63/10.71 | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | (1170) ~ (all_6_9 = e2)
% 70.63/10.71 | | | | | | | | | | | (1171) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 70.63/10.71 | | | | | | | | | | | all_6_9 = e0
% 70.63/10.71 | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | REDUCE: (441), (1170) imply:
% 70.63/10.71 | | | | | | | | | | | (1172) ~ (all_4_21 = e2)
% 70.63/10.71 | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | BETA: splitting (1171) gives:
% 70.63/10.71 | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | Case 1:
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | (1173) all_6_9 = e4
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | COMBINE_EQS: (441), (1173) imply:
% 70.63/10.71 | | | | | | | | | | | | (1174) all_4_21 = e4
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | SIMP: (1174) implies:
% 70.63/10.71 | | | | | | | | | | | | (1175) all_4_21 = e4
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | REDUCE: (1109), (1175) imply:
% 70.63/10.71 | | | | | | | | | | | | (1176) $false
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | CLOSE: (1176) is inconsistent.
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | Case 2:
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | (1177) ~ (all_6_9 = e4)
% 70.63/10.71 | | | | | | | | | | | | (1178) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | BETA: splitting (244) gives:
% 70.63/10.71 | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | Case 1:
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | (1179) all_8_2 = e2
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | COMBINE_EQS: (373), (1179) imply:
% 70.63/10.71 | | | | | | | | | | | | | (1180) all_4_1 = e2
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | SIMP: (1180) implies:
% 70.63/10.71 | | | | | | | | | | | | | (1181) all_4_1 = e2
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | REDUCE: (465), (1181) imply:
% 70.63/10.71 | | | | | | | | | | | | | (1182) $false
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | CLOSE: (1182) is inconsistent.
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | Case 2:
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | (1183) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 70.63/10.71 | | | | | | | | | | | | | all_8_17 = e2
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | BETA: splitting (1183) gives:
% 70.63/10.71 | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | Case 1:
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | (1184) all_8_3 = e2
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | COMBINE_EQS: (523), (1184) imply:
% 70.63/10.71 | | | | | | | | | | | | | | (1185) e2 = e1
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | REDUCE: (17), (1185) imply:
% 70.63/10.71 | | | | | | | | | | | | | | (1186) $false
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | CLOSE: (1186) is inconsistent.
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | Case 2:
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | (1187) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 70.63/10.71 | | | | | | | | | | | | | |
% 70.63/10.71 | | | | | | | | | | | | | | Case 1:
% 70.63/10.71 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | (1188) all_6_9 = e1
% 70.63/10.73 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | REF_CLOSE: (441), (537), (1188) are inconsistent by sub-proof
% 70.63/10.73 | | | | | | | | | | | | | | | #41.
% 70.63/10.73 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | Case 2:
% 70.63/10.73 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | (1189) all_6_9 = e3 | all_6_9 = e0
% 70.63/10.73 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | BETA: splitting (1187) gives:
% 70.63/10.73 | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | (1190) all_8_5 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (1103), (1190) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | (1191) e4 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | SIMP: (1191) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | (1192) e4 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | REDUCE: (20), (1192) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | (1193) $false
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | CLOSE: (1193) is inconsistent.
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | Case 2:
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | (1194) all_8_10 = e2 | all_8_17 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | BETA: splitting (1194) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | (1195) all_8_10 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (1195) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | (1196) all_4_16 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | SIMP: (1196) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | | (1197) all_4_16 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (1197) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | (1198) all_10_6 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1199) all_8_2 = e0
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1199) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1200) all_4_1 = e0
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | SIMP: (1200) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1201) all_4_1 = e0
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (1201) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1202) all_10_4 = e0
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (112), (1201) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1203) ~ (all_4_21 = e0)
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (465), (1201) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1204) ~ (e2 = e0)
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (524), (1201) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | (1205) ~ (e1 = e0)
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | (1206) all_6_9 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1206) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | (1207) all_4_21 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | SIMP: (1207) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | (1208) all_4_21 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1208) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | (1209) all_10_7 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | REDUCE: (1109), (1208) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | (1210) ~ (e4 = e3)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (1211) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | = e3))))
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1211) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (1212) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1212) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | e4))
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1214) ~ (all_10_5 = e4)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1104), (1214) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1215) $false
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1215) is inconsistent.
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1216) all_10_4 = e2 & ~ (unit = e4)
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1217) all_10_4 = e2
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1202), (1217) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1218) e2 = e0
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1218) imply:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | (1219) $false
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1219) is inconsistent.
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.63/10.73 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (1220) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3)))
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1220) implies:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | (1221) ~ (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | e3))
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1221) gives:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1222) ~ (all_10_7 = e3)
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1209), (1222) imply:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1223) $false
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1223) is inconsistent.
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1224) all_10_21 = e0 & ~ (unit = e3)
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1224) implies:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1225) all_10_21 = e0
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (520), (1225) imply:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1226) e1 = e0
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1227) e1 = e0
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1227) imply:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | (1228) $false
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1228) is inconsistent.
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | | End of split
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 70.63/10.74 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (1229) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | = e0)))
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1229) gives:
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (1230) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1230) implies:
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | (1231) ~ (all_10_6 = e2) | (all_10_5 = e1 & ~ (unit =
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | e2))
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1104), (1198), (1231) are inconsistent by
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.63/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (1232) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | = e0)))
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (1233) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1)))
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1233) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (1234) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1))
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (353), (477), (1118), (1234) are inconsistent by
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (1235) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1235) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | (1236) ~ (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | e0))
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1236) gives:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1237) ~ (all_10_4 = e0)
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1202), (1237) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1238) $false
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1238) is inconsistent.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1239) all_10_7 = e4 & ~ (unit = e0)
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1239) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1240) all_10_7 = e4
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1209), (1240) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1241) e4 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1242) e4 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1242) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | (1243) $false
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | (1244) all_6_9 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (517), (1244) are inconsistent by sub-proof
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | #39.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.78 | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | (1245) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives:
% 70.81/10.78 | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | (1246) all_6_9 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1246) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | (1247) all_4_21 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | SIMP: (1247) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | (1248) all_4_21 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1248) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | (1249) all_8_17 = e3
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | (1250) all_8_3 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (523), (1250) are inconsistent by sub-proof
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | #95.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | (1251) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1251) gives:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | (1252) all_8_5 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1103), (1252) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | (1253) e4 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (1253) implies:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | (1254) e4 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1254) imply:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | (1255) $false
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1255) is inconsistent.
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | (1256) all_8_10 = e0 | all_8_17 = e0
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1256) gives:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1257) all_8_10 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1195), (1257) imply:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1258) e2 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1258) implies:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1259) e2 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1259) imply:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1260) $false
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1260) is inconsistent.
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1261) all_8_17 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1249), (1261) imply:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1262) e3 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1262) implies:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1263) e3 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1263) imply:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | (1264) $false
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1264) is inconsistent.
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.79 | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | (1265) all_6_9 = e0
% 70.81/10.79 | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (517), (1265) are inconsistent by sub-proof
% 70.81/10.79 | | | | | | | | | | | | | | | | | | | #39.
% 70.81/10.79 | | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.79 | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | (1266) all_8_17 = e2
% 70.81/10.79 | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (1172), (1266) are inconsistent by
% 70.81/10.79 | | | | | | | | | | | | | | | | | sub-proof #38.
% 70.81/10.79 | | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | Case 2:
% 70.81/10.79 | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | (1267) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 70.81/10.79 | | | | | | | | | | all_6_22 = e0
% 70.81/10.79 | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | | REF_CLOSE: (450), (492), (498), (1107), (1120), (1267) are
% 70.81/10.79 | | | | | | | | | | inconsistent by sub-proof #57.
% 70.81/10.79 | | | | | | | | | |
% 70.81/10.79 | | | | | | | | | End of split
% 70.81/10.79 | | | | | | | | |
% 70.81/10.79 | | | | | | | | Case 2:
% 70.81/10.79 | | | | | | | | |
% 70.81/10.79 | | | | | | | | | (1268) all_6_2 = e3 | all_6_2 = e0
% 70.81/10.79 | | | | | | | | |
% 70.81/10.79 | | | | | | | | | REF_CLOSE: (420), (486), (487), (1268) are inconsistent by
% 70.81/10.79 | | | | | | | | | sub-proof #89.
% 70.81/10.79 | | | | | | | | |
% 70.81/10.79 | | | | | | | | End of split
% 70.81/10.79 | | | | | | | |
% 70.81/10.79 | | | | | | | End of split
% 70.81/10.79 | | | | | | |
% 70.81/10.79 | | | | | | End of split
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | Case 2:
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | (1269) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | REF_CLOSE: (421), (488), (489), (533), (1269) are inconsistent by
% 70.81/10.79 | | | | | | sub-proof #36.
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | End of split
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | End of split
% 70.81/10.79 | | | |
% 70.81/10.79 | | | Case 2:
% 70.81/10.79 | | | |
% 70.81/10.79 | | | | (1270) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 70.81/10.79 | | | |
% 70.81/10.79 | | | | BETA: splitting (1270) gives:
% 70.81/10.79 | | | |
% 70.81/10.79 | | | | Case 1:
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | | (1271) all_10_22 = e1
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | | REF_CLOSE: (18), (326), (1271) are inconsistent by sub-proof #35.
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | Case 2:
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | | (1272) all_10_23 = e1 | all_10_24 = e1
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | | BETA: splitting (1272) gives:
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | | Case 1:
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | (1273) all_10_23 = e1
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | REF_CLOSE: (19), (461), (1273) are inconsistent by sub-proof #34.
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | Case 2:
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | (1274) all_10_24 = e1
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | COMBINE_EQS: (513), (1274) imply:
% 70.81/10.79 | | | | | | (1275) e1 = e0
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | REDUCE: (15), (1275) imply:
% 70.81/10.79 | | | | | | (1276) $false
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | | CLOSE: (1276) is inconsistent.
% 70.81/10.79 | | | | | |
% 70.81/10.79 | | | | | End of split
% 70.81/10.79 | | | | |
% 70.81/10.79 | | | | End of split
% 70.81/10.79 | | | |
% 70.81/10.79 | | | End of split
% 70.81/10.79 | | |
% 70.81/10.79 | | End of split
% 70.81/10.79 | |
% 70.81/10.79 | Case 2:
% 70.81/10.79 | |
% 70.81/10.80 | | (1277) ~ (all_8_24 = e0)
% 70.81/10.80 | | (1278) (all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0) &
% 70.81/10.80 | | (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0)
% 70.81/10.80 | |
% 70.81/10.80 | | ALPHA: (1278) implies:
% 70.81/10.80 | | (1279) all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 70.81/10.80 | | (1280) all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 70.81/10.80 | |
% 70.81/10.80 | | REDUCE: (413), (1277) imply:
% 70.81/10.80 | | (1281) ~ (all_4_24 = e0)
% 70.81/10.80 | |
% 70.81/10.80 | | BETA: splitting (284) gives:
% 70.81/10.80 | |
% 70.81/10.80 | | Case 1:
% 70.81/10.80 | | |
% 70.81/10.80 | | | (1282) all_10_20 = e0
% 70.81/10.80 | | |
% 70.81/10.80 | | | COMBINE_EQS: (462), (1282) imply:
% 70.81/10.80 | | | (1283) e2 = e0
% 70.81/10.80 | | |
% 70.81/10.80 | | | SIMP: (1283) implies:
% 70.81/10.80 | | | (1284) e2 = e0
% 70.81/10.80 | | |
% 70.81/10.80 | | | REDUCE: (16), (1284) imply:
% 70.81/10.80 | | | (1285) $false
% 70.81/10.80 | | |
% 70.81/10.80 | | | CLOSE: (1285) is inconsistent.
% 70.81/10.80 | | |
% 70.81/10.80 | | Case 2:
% 70.81/10.80 | | |
% 70.81/10.80 | | | (1286) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0 | all_10_24 =
% 70.81/10.80 | | | e0
% 70.81/10.80 | | |
% 70.81/10.80 | | | BETA: splitting (1286) gives:
% 70.81/10.80 | | |
% 70.81/10.80 | | | Case 1:
% 70.81/10.80 | | | |
% 70.81/10.80 | | | | (1287) all_10_21 = e0
% 70.81/10.80 | | | |
% 70.81/10.80 | | | | COMBINE_EQS: (344), (1287) imply:
% 70.81/10.80 | | | | (1288) all_4_6 = e0
% 70.81/10.80 | | | |
% 70.81/10.80 | | | | SIMP: (1288) implies:
% 70.81/10.80 | | | | (1289) all_4_6 = e0
% 70.81/10.80 | | | |
% 70.81/10.80 | | | | COMBINE_EQS: (407), (1289) imply:
% 70.81/10.81 | | | | (1290) all_8_3 = e0
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (115), (1289) imply:
% 70.81/10.81 | | | | (1291) ~ (all_4_1 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (96), (1289) imply:
% 70.81/10.81 | | | | (1292) ~ (all_4_5 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (88), (1289) imply:
% 70.81/10.81 | | | | (1293) ~ (all_4_8 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (87), (1289) imply:
% 70.81/10.81 | | | | (1294) ~ (all_4_9 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | SIMP: (1294) implies:
% 70.81/10.81 | | | | (1295) ~ (all_4_9 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (86), (1289) imply:
% 70.81/10.81 | | | | (1296) ~ (all_4_11 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (85), (1289) imply:
% 70.81/10.81 | | | | (1297) ~ (all_4_16 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | SIMP: (1297) implies:
% 70.81/10.81 | | | | (1298) ~ (all_4_16 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (84), (1289) imply:
% 70.81/10.81 | | | | (1299) ~ (all_4_21 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | SIMP: (1299) implies:
% 70.81/10.81 | | | | (1300) ~ (all_4_21 = e0)
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | REDUCE: (145), (1289) imply:
% 70.81/10.81 | | | | (1301) op(e3, e3) = e0
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | BETA: splitting (285) gives:
% 70.81/10.81 | | | |
% 70.81/10.81 | | | | Case 1:
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | | (1302) all_10_20 = e1
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | | REF_CLOSE: (17), (462), (1302) are inconsistent by sub-proof #117.
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | Case 2:
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | | (1303) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | all_10_24
% 70.81/10.81 | | | | | = e1
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | | BETA: splitting (1303) gives:
% 70.81/10.81 | | | | |
% 70.81/10.81 | | | | | Case 1:
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | (1304) all_10_21 = e1
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | COMBINE_EQS: (1287), (1304) imply:
% 70.81/10.81 | | | | | | (1305) e1 = e0
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | REDUCE: (15), (1305) imply:
% 70.81/10.81 | | | | | | (1306) $false
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | CLOSE: (1306) is inconsistent.
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | Case 2:
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | (1307) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | BETA: splitting (1307) gives:
% 70.81/10.81 | | | | | |
% 70.81/10.81 | | | | | | Case 1:
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | | (1308) all_10_22 = e1
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | | REF_CLOSE: (18), (326), (1308) are inconsistent by sub-proof #35.
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | Case 2:
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | | (1309) all_10_23 = e1 | all_10_24 = e1
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | | BETA: splitting (1309) gives:
% 70.81/10.81 | | | | | | |
% 70.81/10.81 | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | (1310) all_10_23 = e1
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REF_CLOSE: (19), (461), (1310) are inconsistent by sub-proof
% 70.81/10.81 | | | | | | | | #34.
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | (1311) all_10_24 = e1
% 70.81/10.81 | | | | | | | | (1312) ~ (all_10_23 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | COMBINE_EQS: (287), (1311) imply:
% 70.81/10.81 | | | | | | | | (1313) all_4_24 = e1
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | SIMP: (1313) implies:
% 70.81/10.81 | | | | | | | | (1314) all_4_24 = e1
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | COMBINE_EQS: (413), (1314) imply:
% 70.81/10.81 | | | | | | | | (1315) all_8_24 = e1
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (97), (1314) imply:
% 70.81/10.81 | | | | | | | | (1316) ~ (all_4_4 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (72), (1314) imply:
% 70.81/10.81 | | | | | | | | (1317) ~ (all_4_9 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (52), (1314) imply:
% 70.81/10.81 | | | | | | | | (1318) ~ (all_4_14 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (38), (1314) imply:
% 70.81/10.81 | | | | | | | | (1319) ~ (all_4_19 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (34), (1314) imply:
% 70.81/10.81 | | | | | | | | (1320) ~ (all_4_20 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (31), (1314) imply:
% 70.81/10.81 | | | | | | | | (1321) ~ (all_4_21 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (29), (1314) imply:
% 70.81/10.81 | | | | | | | | (1322) ~ (all_4_22 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | REDUCE: (28), (1314) imply:
% 70.81/10.81 | | | | | | | | (1323) ~ (all_4_23 = e1)
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | BETA: splitting (192) gives:
% 70.81/10.81 | | | | | | | |
% 70.81/10.81 | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | | (1324) all_6_2 = e2
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | | REF_CLOSE: (420), (475), (1324) are inconsistent by sub-proof
% 70.81/10.81 | | | | | | | | | #113.
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | | (1325) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2
% 70.81/10.81 | | | | | | | | | = e0
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | | BETA: splitting (177) gives:
% 70.81/10.81 | | | | | | | | |
% 70.81/10.81 | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | (1326) all_6_22 = e2
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | COMBINE_EQS: (450), (1326) imply:
% 70.81/10.81 | | | | | | | | | | (1327) all_4_14 = e2
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | COMBINE_EQS: (400), (1327) imply:
% 70.81/10.81 | | | | | | | | | | (1328) all_8_22 = e2
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | REDUCE: (74), (1327) imply:
% 70.81/10.81 | | | | | | | | | | (1329) ~ (all_4_9 = e2)
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | REDUCE: (63), (1327) imply:
% 70.81/10.81 | | | | | | | | | | (1330) ~ (all_4_11 = e2)
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | REDUCE: (53), (1327) imply:
% 70.81/10.81 | | | | | | | | | | (1331) ~ (all_4_19 = e2)
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | SIMP: (1331) implies:
% 70.81/10.81 | | | | | | | | | | (1332) ~ (all_4_19 = e2)
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | REDUCE: (129), (1327) imply:
% 70.81/10.81 | | | | | | | | | | (1333) op(e0, e2) = e2
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | BETA: splitting (180) gives:
% 70.81/10.81 | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | (1334) all_6_19 = e2
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | COMBINE_EQS: (444), (1334) imply:
% 70.81/10.81 | | | | | | | | | | | (1335) all_4_23 = e2
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | COMBINE_EQS: (395), (1335) imply:
% 70.81/10.81 | | | | | | | | | | | (1336) all_8_19 = e2
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | REDUCE: (75), (1335) imply:
% 70.81/10.81 | | | | | | | | | | | (1337) ~ (all_4_8 = e2)
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | REDUCE: (509), (1335) imply:
% 70.81/10.81 | | | | | | | | | | | (1338) ~ (e4 = e2)
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | REDUCE: (132), (1335) imply:
% 70.81/10.81 | | | | | | | | | | | (1339) op(e1, e0) = e2
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | BETA: splitting (249) gives:
% 70.81/10.81 | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | (1340) all_8_1 = e2
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | COMBINE_EQS: (365), (1340) imply:
% 70.81/10.81 | | | | | | | | | | | | (1341) all_4_5 = e2
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | SIMP: (1341) implies:
% 70.81/10.81 | | | | | | | | | | | | (1342) all_4_5 = e2
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | REDUCE: (473), (1342) imply:
% 70.81/10.81 | | | | | | | | | | | | (1343) $false
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | CLOSE: (1343) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | (1344) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 70.81/10.81 | | | | | | | | | | | | all_8_21 = e2
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | BETA: splitting (1344) gives:
% 70.81/10.81 | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | (1345) all_8_3 = e2
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | COMBINE_EQS: (1290), (1345) imply:
% 70.81/10.81 | | | | | | | | | | | | | (1346) e2 = e0
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | REDUCE: (16), (1346) imply:
% 70.81/10.81 | | | | | | | | | | | | | (1347) $false
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | CLOSE: (1347) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | (1348) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 70.81/10.81 | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | (1349) all_8_7 = e2
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | COMBINE_EQS: (383), (1349) imply:
% 70.81/10.81 | | | | | | | | | | | | | | (1350) all_4_7 = e2
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | REDUCE: (83), (1350) imply:
% 70.81/10.81 | | | | | | | | | | | | | | (1351) ~ (all_4_8 = e2)
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | REDUCE: (80), (1350) imply:
% 70.81/10.81 | | | | | | | | | | | | | | (1352) ~ (all_4_17 = e2)
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | SIMP: (1352) implies:
% 70.81/10.81 | | | | | | | | | | | | | | (1353) ~ (all_4_17 = e2)
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | REDUCE: (483), (1350) imply:
% 70.81/10.81 | | | | | | | | | | | | | | (1354) ~ (e3 = e2)
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | SIMP: (1354) implies:
% 70.81/10.81 | | | | | | | | | | | | | | (1355) ~ (e3 = e2)
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 70.81/10.81 | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | (1356) all_8_9 = e2
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | REF_CLOSE: (369), (477), (1356) are inconsistent by sub-proof
% 70.81/10.81 | | | | | | | | | | | | | | | #46.
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | (1357) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 70.81/10.81 | | | | | | | | | | | | | | | all_8_23 = e2
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | BETA: splitting (1357) gives:
% 70.81/10.81 | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | (1358) all_8_10 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (1358) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1359) all_4_16 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | SIMP: (1359) implies:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1360) all_4_16 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (1360) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1361) all_10_6 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | REDUCE: (44), (1360) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1362) ~ (all_4_21 = e2)
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | SIMP: (1362) implies:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1363) ~ (all_4_21 = e2)
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | REDUCE: (143), (1360) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | (1364) op(e3, e1) = e2
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | (1365) all_6_7 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (1330), (1365) are inconsistent by
% 70.81/10.81 | | | | | | | | | | | | | | | | | sub-proof #33.
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | (1366) ~ (all_6_7 = e2)
% 70.81/10.81 | | | | | | | | | | | | | | | | | (1367) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 70.81/10.81 | | | | | | | | | | | | | | | | | all_6_7 = e0
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | (1368) all_6_13 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1368) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | (1369) all_4_17 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | REDUCE: (1353), (1369) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | (1370) $false
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | (1371) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e1 |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | all_6_13 = e0
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1372) all_6_16 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1372) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1373) all_4_8 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | SIMP: (1373) implies:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1374) all_4_8 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | REDUCE: (1337), (1374) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1375) $false
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | CLOSE: (1375) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1376) ~ (all_6_16 = e2)
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | (1377) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e1 |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | all_6_16 = e0
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1378) all_6_9 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1378) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1379) all_4_21 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | SIMP: (1379) implies:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1380) all_4_21 = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (1363), (1380) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1381) $false
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | CLOSE: (1381) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1382) ~ (all_6_9 = e2)
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | (1383) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | (1384) unit = e2
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1384) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | (1385) op(e1, e2) = e1
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (23), (1385) gives:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | (1386) e1 = e0
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1386) imply:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | (1387) $false
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1387) is inconsistent.
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.81 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | (1388) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | (1389) all_6_10 = e2
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (467), (1389) are inconsistent by sub-proof
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | #109.
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | (1390) ~ (all_6_10 = e2)
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | (1391) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1392) all_6_1 = e2
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (473), (1392) are inconsistent by sub-proof
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | | #32.
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_6_1 = e2)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | (1394) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_6_4 = e2
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (479), (1395) are inconsistent by sub-proof
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_6_4 = e2)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_6_3 = e2
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (477), (1398) are inconsistent by sub-proof
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (1399) ~ (all_6_3 = e2)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_6_20 = e2
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1401) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_4_4 = e2
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (471), (1402) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) $false
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1403) is inconsistent.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) ~ (all_6_20 = e2)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_6_5 = e2
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (465), (1406) are inconsistent by sub-proof
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) ~ (all_6_5 = e2)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_8_0 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (460), (1409) are inconsistent by sub-proof
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #94.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) ~ (all_8_0 = e0)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_8_4 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1412) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_4_10 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1413) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_4_10 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (1414) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_4_11 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1415) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_4_11 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1414) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) ~ (all_4_15 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1417) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_4_15 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1414) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) ~ (all_4_20 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (1414) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) ~ (e3 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (475), (1414) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (e2 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_8_2 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1422) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_4_1 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1423) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_4_1 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (1424) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_10_4 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1424) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_4_2 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1426) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) ~ (all_4_2 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1424) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) ~ (all_4_3 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1428) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) ~ (all_4_3 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1424) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) ~ (all_4_4 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1424) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) op(e3, e4) = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_8_12 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (389), (1429), (1432) are inconsistent by
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #100.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1433) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_8_13 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1434) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_4_8 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1435) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_4_8 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (1436) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_10_13 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1436) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) ~ (all_4_5 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (485), (1436) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (e4 = e1)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_8_12 = e3
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1440) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_4_3 = e3
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1441) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_4_3 = e3
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (1442) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_10_12 = e3
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1442) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) ~ (all_4_4 = e3)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1444) implies:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) ~ (all_4_4 = e3)
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_8_4 = e4
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1412), (1446) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) e4 = e1
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1447) imply:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) $false
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1448) is inconsistent.
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1449) gives:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_8_5 = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1450) imply:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_4_11 = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1451) implies:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_4_11 = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1452) imply:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_10_5 = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1452) imply:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op(e3, e2) = e4
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1455) gives:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 70.81/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) ~ (all_10_5 = e4)
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1453), (1458) imply:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) $false
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1459) is inconsistent.
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_10_4 = e2 & ~ (unit = e4)
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1460) implies:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_10_4 = e2
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1425), (1461) imply:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) e2 = e1
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1462) imply:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) $false
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1463) is inconsistent.
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.81/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)))
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1464) implies:
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) ~ (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1437), (1443), (1465) are inconsistent by
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives:
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1467) implies:
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) ~ (all_10_6 = e2) | (all_10_5 = e1 & ~ (unit =
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1361), (1453), (1468) are inconsistent by
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1469) gives:
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 71.10/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1470) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) ~ (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) ~ (all_10_13 = e1)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1437), (1472) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) $false
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1473) is inconsistent.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_10_23 = e3 & ~ (unit = e1)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1474) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_10_23 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1475) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) e4 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1476) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) e4 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1477) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) $false
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1478) is inconsistent.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1479) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit =
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) ~ (all_10_14 = e0)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (1482) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) $false
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_10_15 = e2 & ~ (unit = e0)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1484) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) ~ (unit = e0)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) ~ (all_10_2 = e0)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (1486) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) ~ (all_4_15 = e0)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_6_3 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (503), (1488) are inconsistent by sub-proof
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #27.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1489) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_6_3 = e1
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (1418), (1490) are inconsistent by
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) ~ (all_6_3 = e1)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_6_3 = e3 | all_6_3 = e0
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1492) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_6_3 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (1493) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_4_15 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1494) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_4_15 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1495) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) ~ (all_4_5 = e3)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1495) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) ~ (all_4_20 = e3)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1497) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) ~ (all_4_20 = e3)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1495) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) op(e4, e1) = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_8_16 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1500) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_4_20 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1501) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_4_20 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1498), (1502) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) $false
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1503) is inconsistent.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1394) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_6_1 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1505) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_4_5 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1506) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) all_4_5 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1507) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) ~ (all_4_20 = e4)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1508) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) ~ (all_4_20 = e4)
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_8_20 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1510) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_4_4 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1511) implies:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) all_4_4 = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (1512) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) op(e0, e4) = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) unit = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1514) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) op(e4, e4) = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1514) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) op(e0, e4) = e0
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (1513), (1515), (1516),
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25.
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) unit = e3 | unit = e1 | unit = e0
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1517) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) unit = e1
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1518) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) op(e1, e2) = e2
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1518) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) op(e4, e1) = e4
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1518) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) op(e3, e1) = e3
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1518) imply:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) op(e1, e1) = e1
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e1,
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (22), (1522) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) e4 = e1
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (23), (1519) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) e2 = e0
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1364), (1521) gives:
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) e3 = e2
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e1,
% 71.10/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1499), (1520) gives:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) e4 = e3
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1523), (1526) imply:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) e3 = e1
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1527) implies:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) e3 = e1
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1524), (1525), (1528) are inconsistent by
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) unit = e3 | unit = e0
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) unit = e3
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1530) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) op(e3, e4) = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1530) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) op(e3, e2) = e2
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e2,
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1454), (1532) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) e4 = e2
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4,
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1431), (1531) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) e4 = e1
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1533), (1534) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) e2 = e1
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1535) implies:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) e2 = e1
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1536) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) $false
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1537) is inconsistent.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) unit = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1485), (1538) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) $false
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1539) is inconsistent.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) ~ (all_8_20 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (396), (1540) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_4_4 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_8_16 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1542) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_4_20 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1543) implies:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_4_20 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (1544) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) $false
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1545) is inconsistent.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1405) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_6_20 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1541), (1547) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1548) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_6_20 = e1
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1316), (1549) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) all_6_20 = e3 | all_6_20 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1550) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_6_20 = e3
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1445), (1551) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_6_20 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1552) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_4_4 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1553) implies:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_4_4 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1554) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) ~ (all_4_2 = e0)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_6_10 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1556) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_4_2 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_4_2 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1558) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) ~ (all_4_22 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1559) implies:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) ~ (all_4_22 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_8_17 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (317), (496), (1315), (1336), (1355),
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504), (1561) are inconsistent by sub-proof #22.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (317), (1315), (1336), (1560), (1562)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #20.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (480), (1427), (1555), (1563) are
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (1292), (1438), (1496), (1564) are
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #79.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_6_3 = e0
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (1487), (1565) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_10_3 = e1 & ~ (unit = e0)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (1320), (1566) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) ~ (all_8_5 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1567) imply:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) ~ (all_4_11 = e4)
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (1367), (1416), (1568) are
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (21), (304), (393), (490),
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336), (1355), (1433), (1569) are inconsistent by
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (304), (393), (1336), (1570) are
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1571) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_8_3 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (1572) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) e1 = e0
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1573) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) $false
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1574) is inconsistent.
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1575) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_8_5 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1576) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_4_11 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1577) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_4_11 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1416), (1578) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) $false
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1579) is inconsistent.
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_8_10 = e1 | all_8_17 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_8_10 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (1581) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) e2 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1582) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) e2 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1583) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) $false
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1584) is inconsistent.
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_8_17 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1585) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_4_21 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1586) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_4_21 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1321), (1587) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) $false
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1588) is inconsistent.
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_8_4 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1589) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) ~ (all_4_10 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_8_5 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1592) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_4_11 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1593) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_4_11 = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1594) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) ~ (all_4_1 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1594) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) ~ (all_4_21 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (488), (1594) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) ~ (e3 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1330), (1594) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) ~ (e2 = e1)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (1594) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) op(e3, e2) = e1
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_8_4 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1600) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_4_10 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1601) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_4_10 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1602) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_4_5 = e4)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (1602) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) ~ (all_4_15 = e4)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1602) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) ~ (all_4_20 = e4)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1605) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) ~ (all_4_20 = e4)
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_8_1 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (1607) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_4_5 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1608) implies:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_4_5 = e4
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1603), (1609) imply:
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) $false
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1610) is inconsistent.
% 71.21/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_8_3 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (1612) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) e4 = e0
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1613) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) $false
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1614) is inconsistent.
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1615) gives:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_8_7 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1349), (1616) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) e4 = e2
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) e4 = e2
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1618) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) $false
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1619) is inconsistent.
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_8_13 = e4 | all_8_21 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_8_13 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1621) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_4_8 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_4_8 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (485), (1623) imply:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) $false
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1624) is inconsistent.
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_8_21 = e4
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (1625) imply:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_4_9 = e4
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1626) implies:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_4_9 = e4
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_8_2 = e3
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1628) imply:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_4_1 = e3
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1629) implies:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_4_1 = e3
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1630) imply:
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_4_21 = e3)
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.32/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) ~ (all_4_21 = e3)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1630) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) op(e3, e4) = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_8_16 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1634) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_4_20 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1635) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) ~ (all_4_5 = e3)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1635) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) ~ (all_4_15 = e3)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1606), (1635) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) ~ (e4 = e3)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1635) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) op(e4, e0) = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_8_1 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (1640) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_4_5 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1292), (1641) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1642) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_8_9 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1644) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_4_15 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1637), (1645) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_8_16 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1634), (1648) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) e3 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1649) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1650) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_8_16 = e0)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_8_10 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (1653) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) e3 = e2
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1654) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1655) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_8_4 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1600), (1657) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) e4 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1658) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1659) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_8_9 = e0 | all_8_16 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_8_9 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1661) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_4_15 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (1662) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (e2 = e0)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1652) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_8_17 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1664) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_4_21 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1300), (1665) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1666) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_8_18 = e0 | all_8_19 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_8_9 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1661), (1668) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) e1 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1669) implies:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) e1 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1670) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1671) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1656) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_8_11 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1673) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_4_17 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1674) implies:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_4_17 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (1675) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1676) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_8_15 = e3 | all_8_23 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_8_0 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1678) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) e2 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1679) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1680) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1681) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_8_1 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (1682) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_4_5 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1603), (1683) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) ~ (e4 = e1)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1683) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) op(e4, e3) = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_6_13 = e4
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (505), (1686) are inconsistent by sub-proof
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1667) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_8_18 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (1688) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_4_22 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1689) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_4_17 = e0)
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1689) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op(e2, e0) = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_8_15 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (1692) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) e4 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1693) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1694) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_8_23 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1695) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_4_19 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1696) implies:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_4_19 = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1697) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) op(e0, e1) = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1672) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_8_10 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (1699) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) e2 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1700) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1701) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1687) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_6_13 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1703) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_4_17 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1704) implies:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_4_17 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1705) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) op(e2, e1) = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) unit = e4
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1707) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) op(e4, e3) = e3
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1707) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e4, e0) = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1639), (1709) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) e3 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1685), (1708) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) e3 = e1
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1710), (1711) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) e1 = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1712) imply:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) $false
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1713) is inconsistent.
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) unit = e3 | unit = e1 | unit = e0
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1714) gives:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) unit = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1715) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) op(e3, e1) = e3
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1715) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) op(e2, e1) = e2
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1715) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) op(e0, e1) = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e1,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1698), (1718) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) e3 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1706), (1717) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) e2 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1364), (1716) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) e3 = e2
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1719), (1721) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) e2 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1722) implies:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) e2 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1720), (1723) are inconsistent by sub-proof
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) ~ (unit = e1)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) unit = e3 | unit = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) unit = e3
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1726) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) op(e3, e4) = e4
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1726) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) op(e4, e3) = e4
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1726) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) op(e3, e3) = e3
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1301), (1729) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) e3 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1633), (1727) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) e4 = e3
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e3,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1685), (1728) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) e4 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1731), (1732) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) e3 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1733) implies:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) e3 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1730), (1734) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) e1 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1735) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1736) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) unit = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1724), (1737) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) ~ (e1 = e0)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1737) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) op(e2, e0) = e2
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1737) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) op(e1, e0) = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e0,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1339), (1740) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) e2 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0,
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1691), (1739) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) e2 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1741), (1742) are inconsistent by sub-proof
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) ~ (all_6_13 = e1)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (431), (1743) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ~ (all_4_17 = e1)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1702) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_8_11 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1745) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_4_17 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1744), (1746) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1747) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_8_15 = e1 | all_8_23 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1748) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_8_15 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (1749) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) e4 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1750) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1751) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_8_23 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1695), (1752) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) e3 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1753) implies:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) e3 = e1
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1754) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1755) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_8_19 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1336), (1756) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) e2 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1757) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1758) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_8_1 = e1)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1759) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) ~ (all_4_5 = e1)
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (1292), (1394), (1603), (1636), (1760) are
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_8_16 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1634), (1761) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) e3 = e0
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1762) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) $false
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1763) is inconsistent.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1383) gives:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_6_9 = e4
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1765) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_4_21 = e4
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1766) imply:
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_8_17 = e4
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (21), (317), (496), (1315), (1336), (1355),
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764), (1767) are inconsistent by sub-proof #22.
% 71.33/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1300), (1321), (1632), (1768) are
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) ~ (all_8_2 = e3)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1769) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) ~ (all_4_1 = e3)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1408) gives:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_6_5 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1772) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_4_1 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1773) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_8_2 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1773) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_4_4 = e4)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1775) implies:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) ~ (all_4_4 = e4)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1773) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_4_21 = e4)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) ~ (all_4_21 = e4)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1773) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) op(e3, e4) = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_8_16 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1780) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_4_20 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1606), (1781) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) $false
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1782) is inconsistent.
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) ~ (all_8_16 = e4)
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e4
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1770) gives:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_8_3 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (1785) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) e3 = e0
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1786) implies:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) e3 = e0
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (1787) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) $false
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1788) is inconsistent.
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1789) gives:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_8_5 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1592), (1790) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) e3 = e1
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1791) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) $false
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1792) is inconsistent.
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_8_10 = e3 | all_8_17 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1793) gives:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_8_10 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (1794) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) e3 = e2
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1795) imply:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_8_17 = e3
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1797) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_4_21 = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1798) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_4_20 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1778), (1798) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (e4 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_8_17 = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (1355), (1358), (1793), (1801) are
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_6_4 = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (1606), (1803) are inconsistent by
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_8_18 = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (1805) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_4_22 = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (1806) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_4_2 = e4)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1806) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) op(e2, e0) = e4
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_8_16 = e0
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1809) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_4_20 = e0
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1810) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_4_15 = e0)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1799), (1810) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (e3 = e0)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (1810) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (e2 = e0)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1810) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) ~ (e1 = e0)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1810) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) op(e4, e0) = e0
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) all_8_12 = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1816) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_4_3 = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1817) implies:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_4_3 = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1818) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_4_4 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (all_4_4 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1818) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (all_4_8 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1821) implies:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_4_8 = e3)
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1818) imply:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) op(e1, e4) = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_8_1 = e3
% 71.33/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (1824) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_4_5 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1825) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) ~ (all_4_15 = e3)
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1826) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_4_15 = e3)
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_8_0 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1828) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) e2 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1829) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1830) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_8_20 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1832) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_4_4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1833) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_4_4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1820), (1834) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1835) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_8_1 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1824), (1837) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1838) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1839) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_8_4 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1600), (1841) are inconsistent by sub-proof
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_8_9 = e1 | all_8_16 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_6_3 = e4
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (503), (1843) are inconsistent by sub-proof
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #27.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1844) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_6_3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (1845) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_4_15 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1846) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_4_15 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1847) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) op(e4, e1) = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_8_21 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1625), (1849) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) e4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1850) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) e4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1851) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1852) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1853) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_8_22 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1328), (1854) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) e3 = e2
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1855) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1856) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_8_23 = e3 | all_8_24 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1857) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_8_23 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1858) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_4_19 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1859) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_4_19 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1860) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e0, e1) = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) unit = e4
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1862) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) op(e4, e4) = e4
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1862) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) op(e3, e4) = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1862) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) op(e1, e4) = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e4,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1823), (1865) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e4,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1779), (1864) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) e4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (25), (1863) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) e4 = e2
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1867), (1868) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) e3 = e2
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1869) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) e3 = e2
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1866), (1870) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) e2 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1871) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) e2 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1872) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1873) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) unit = e3 | unit = e1 | unit = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) unit = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1875) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e1, e4) = e4
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1875) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) op(e4, e1) = e4
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1875) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) op(e0, e1) = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e1,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1861), (1878) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) e3 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1823), (1876) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) e4 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e1,
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1848), (1877) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) e4 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1880), (1881) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1882) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1879), (1883) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) e1 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1884) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) e1 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1885) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1886) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) ~ (unit = e1)
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) unit = e3 | unit = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (9), (17), (1339), (1599), (1808),
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815), (1887), (1888), (function-axioms) are
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_8_24 = e3
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (1889) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1890) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) e3 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1891) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1892) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) ~ (all_6_3 = e1)
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (428), (1893) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_4_15 = e1)
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_8_9 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (1894), (1895) are inconsistent by
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_8_16 = e1
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1809), (1896) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) e1 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1897) implies:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) e1 = e0
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1898) imply:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) $false
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1899) is inconsistent.
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.33/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_8_1 = e3)
% 71.33/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.33/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1900) imply:
% 71.33/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_4_5 = e3)
% 71.33/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_8_12 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1816), (1902) are inconsistent by sub-proof
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #11.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1377) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_6_16 = e4
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1904) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_4_8 = e4
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1905) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_4_8 = e4
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (485), (1906) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1903) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_8_13 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1909) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_4_8 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1910) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_4_8 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1911) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_4_5 = e1)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (1292), (1394), (1603), (1901), (1912) are
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) ~ (all_8_13 = e1)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1913) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (all_4_8 = e1)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_6_16 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1915) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_4_8 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_4_8 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1914), (1917) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1918) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_6_16 = e3 | all_6_16 = e0
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_6_16 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1920) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_4_8 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_4_8 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1822), (1922) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1923) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_6_16 = e0
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1924) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_4_8 = e0
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1925) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_4_8 = e0
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (1926) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1927) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_8_0 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1929) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) e3 = e2
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1930) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) e3 = e2
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1931) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1932) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) ~ (all_8_0 = e3)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_8_13 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1935) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_4_8 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1936) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_4_8 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1937) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_4_5 = e3)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_8_12 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1939) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_4_3 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1940) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_4_3 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1941) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (all_4_2 = e1)
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1941) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) op(e1, e4) = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_8_1 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (1944) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_4_5 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1945) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) op(e4, e3) = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1934) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_8_2 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1774), (1947) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) e4 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1948) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) e4 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1949) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1950) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_8_6 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (1952) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_4_2 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1953) implies:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_4_2 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (1954) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1955) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_8_12 = e3 | all_8_20 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1956) gives:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_8_12 = e3
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1939), (1957) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) e3 = e1
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1958) imply:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) $false
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1959) is inconsistent.
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_8_20 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (396), (1960) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_4_4 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1961) implies:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_4_4 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_8_9 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1963) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_4_15 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1964) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) op(e4, e1) = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_6_10 = e4
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (1807), (1966) are inconsistent by
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #108.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1967) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_6_10 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (1942), (1968) are inconsistent by
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) ~ (all_6_10 = e1)
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_6_10 = e3 | all_6_10 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_8_6 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (1971) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_4_2 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1972) implies:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_4_2 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1973) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) op(e2, e4) = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) unit = e4
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1975) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) op(e4, e3) = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1975) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) op(e4, e4) = e4
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1975) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) op(e3, e4) = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1975) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) op(e2, e4) = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e4,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1974), (1979) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) e2 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e4,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1779), (1978) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) e4 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1946), (1976) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) e3 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (25), (1977) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) e4 = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1981), (1983) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) e3 = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1984) implies:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) e3 = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1982), (1985) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) e2 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1986) implies:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) e2 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1980), (1987) are inconsistent by sub-proof
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) unit = e3 | unit = e1 | unit = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1988) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) unit = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1989) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) op(e1, e4) = e4
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1989) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) op(e1, e2) = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1989) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) op(e4, e1) = e4
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1989) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) op(e3, e1) = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (23), (1991) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) e2 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1943), (1990) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) e4 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1364), (1993) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) e3 = e2
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e1,
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (1965), (1992) gives:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) e4 = e3
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (1997) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) e3 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (1998) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) e2 = e1
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1994), (1999) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) e1 = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2000) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) $false
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2001) is inconsistent.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) ~ (unit = e1)
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) unit = e3 | unit = e0
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (9), (17), (1339), (1599), (1808),
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815), (2002), (2003), (function-axioms) are
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_8_6 = e0)
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2004) imply:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_4_2 = e0)
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (480), (1970), (2005) are inconsistent by
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1279) gives:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_8_20 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1960), (2007) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) e3 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2008) implies:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) e3 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (2009) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) $false
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2010) is inconsistent.
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) ~ (all_8_20 = e0)
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2012) gives:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_8_21 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1625), (2013) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) e4 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2014) implies:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) e4 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2015) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) $false
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2016) is inconsistent.
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_8_22 = e0 | all_8_23 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_8_10 = e3
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (2018) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) e3 = e2
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (2019) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) $false
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2020) is inconsistent.
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_8_22 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1328), (2022) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) e2 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2023) implies:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) e2 = e0
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2024) imply:
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) $false
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2025) is inconsistent.
% 71.52/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_8_23 = e0
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (304), (385), (490), (494), (2021), (2026)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #10.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) ~ (all_8_1 = e1)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (2027) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) ~ (all_4_5 = e1)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (416), (1292), (1394), (1603), (1938), (2028) are
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (304), (393), (1336),
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935), (2029) are inconsistent by sub-proof #50.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (304), (393), (490), (1336), (1355), (2030)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #49.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) ~ (all_8_16 = e0)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2031) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) ~ (all_4_20 = e0)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (1320), (1799), (1804), (2032) are
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #78.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_8_19 = e4 | all_8_24 = e4
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (20), (1315), (1336), (2033) are
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2034) gives:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_6_5 = e1
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (1595), (2035) are inconsistent by
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_6_5 = e3 | all_6_5 = e0
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_6_5 = e3
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2037) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_4_1 = e3
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2038) implies:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_4_1 = e3
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1771), (2039) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) $false
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2040) is inconsistent.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_6_5 = e0
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (1291), (2041) are inconsistent by
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) ~ (all_8_4 = e4)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2042) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) ~ (all_4_10 = e4)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (1325), (1591), (2043) are
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) ~ (all_8_5 = e1)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2044) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) ~ (all_4_11 = e1)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_6_2 = e4
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (420), (2046) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_4_10 = e4
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2047) implies:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_4_10 = e4
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2048) imply:
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) ~ (all_4_11 = e4)
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2049) implies:
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) ~ (all_4_11 = e4)
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (1367), (2045), (2050) are
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (1591), (2051) are
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88.
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | (2052) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (385), (402), (1332), (1353), (2052)
% 71.52/11.05 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #42.
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | (2053) all_8_13 = e2 | all_8_21 = e2
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | (2054) all_8_13 = e2
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REF_CLOSE: (391), (1337), (2054) are inconsistent by
% 71.52/11.05 | | | | | | | | | | | | | | | sub-proof #72.
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | (2055) all_8_21 = e2
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REF_CLOSE: (399), (1329), (2055) are inconsistent by
% 71.52/11.05 | | | | | | | | | | | | | | | sub-proof #115.
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | End of split
% 71.52/11.05 | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | (2056) ~ (all_6_19 = e2)
% 71.52/11.05 | | | | | | | | | | | (2057) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e1 |
% 71.52/11.05 | | | | | | | | | | | all_6_19 = e0
% 71.52/11.05 | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | REDUCE: (444), (2056) imply:
% 71.52/11.05 | | | | | | | | | | | (2058) ~ (all_4_23 = e2)
% 71.52/11.05 | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | BETA: splitting (2057) gives:
% 71.52/11.05 | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | (2059) all_6_19 = e4
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | COMBINE_EQS: (444), (2059) imply:
% 71.52/11.05 | | | | | | | | | | | | (2060) all_4_23 = e4
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | REDUCE: (509), (2060) imply:
% 71.52/11.05 | | | | | | | | | | | | (2061) $false
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | CLOSE: (2061) is inconsistent.
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | (2062) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | BETA: splitting (230) gives:
% 71.52/11.05 | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | (2063) all_8_12 = e2
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | REF_CLOSE: (389), (469), (2063) are inconsistent by sub-proof
% 71.52/11.05 | | | | | | | | | | | | | #73.
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | (2064) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 71.52/11.05 | | | | | | | | | | | | | all_8_19 = e2
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 71.52/11.05 | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | (2065) all_6_19 = e1
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | COMBINE_EQS: (444), (2065) imply:
% 71.52/11.05 | | | | | | | | | | | | | | (2066) all_4_23 = e1
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | REDUCE: (1323), (2066) imply:
% 71.52/11.05 | | | | | | | | | | | | | | (2067) $false
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | CLOSE: (2067) is inconsistent.
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | Case 2:
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | (2068) ~ (all_6_19 = e1)
% 71.52/11.05 | | | | | | | | | | | | | | (2069) all_6_19 = e3 | all_6_19 = e0
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | BETA: splitting (2069) gives:
% 71.52/11.05 | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | (2070) all_6_19 = e3
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2070) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2071) all_4_23 = e3
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2072) all_8_19 = e3
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | COMBINE_EQS: (302), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2073) all_10_15 = e3
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (101), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2074) ~ (all_4_3 = e3)
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (75), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2075) ~ (all_4_8 = e3)
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (35), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2076) ~ (all_4_20 = e3)
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (32), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2077) ~ (all_4_21 = e3)
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (2058), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2078) ~ (e3 = e2)
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | REDUCE: (132), (2071) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | (2079) op(e1, e0) = e3
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | BETA: splitting (2064) gives:
% 71.52/11.05 | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | (2080) all_8_13 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2080) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2081) all_4_8 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2081) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2082) all_10_13 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | REDUCE: (83), (2081) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2083) ~ (all_4_7 = e2)
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | REDUCE: (485), (2081) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2084) ~ (e4 = e2)
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | REDUCE: (2075), (2081) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2085) ~ (e3 = e2)
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | REDUCE: (135), (2081) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | (2086) op(e1, e3) = e2
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 71.52/11.05 | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | (2087) all_6_15 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2087) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | | (2088) all_4_3 = e2
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | REDUCE: (469), (2088) imply:
% 71.52/11.05 | | | | | | | | | | | | | | | | | (2089) $false
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.05 | | | | | | | | | | | | | | | | | CLOSE: (2089) is inconsistent.
% 71.52/11.05 | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.06 | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | (2090) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e1 |
% 71.52/11.06 | | | | | | | | | | | | | | | | | all_6_15 = e0
% 71.52/11.06 | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | BETA: splitting (2090) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | (2091) all_6_15 = e4
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2091) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | (2092) all_4_3 = e4
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | REDUCE: (482), (2092) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | (2093) $false
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | CLOSE: (2093) is inconsistent.
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | (2094) ~ (all_6_15 = e4)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | (2095) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2096) all_6_15 = e1
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2096) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2097) all_4_3 = e1
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2097) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2098) ~ (all_4_1 = e1)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2097) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2099) ~ (all_4_2 = e1)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (105), (2097) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2100) ~ (all_4_4 = e1)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (482), (2097) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2101) ~ (e4 = e1)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (2074), (2097) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | (2102) ~ (e3 = e1)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | (2103) all_6_7 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (1330), (2103) are inconsistent by
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | (2104) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | all_6_7 = e0
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2105) all_6_9 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2105) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2106) all_4_21 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | SIMP: (2106) implies:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2107) all_4_21 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2107) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2108) all_8_17 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2107) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2109) ~ (all_4_16 = e2)
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2107) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | (2110) op(e3, e0) = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | (2111) all_8_9 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (477), (2111) are inconsistent by sub-proof
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | #46.
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | (2112) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2113) all_8_10 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (377), (2109), (2113) are inconsistent by
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2114) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_8_11 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2115) imply:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_4_17 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2116) implies:
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_4_17 = e2
% 71.52/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2117) imply:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_10_10 = e2
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_8_6 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2119) imply:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_4_2 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2120) imply:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2121) $false
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2121) is inconsistent.
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_8_7 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (2123) imply:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_4_7 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (2124) imply:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_10_9 = e1
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2126) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) ~ (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) ~ (all_10_5 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (2130) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) ~ (all_4_11 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2128) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) ~ (all_10_23 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (461), (2132) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) $false
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) all_10_12 = e1 & ~ (unit = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2134) implies:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) ~ (unit = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_6_7 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (2131), (2136) are inconsistent by
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_8_4 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (2138) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) all_4_10 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2139) implies:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_4_10 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2140) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_4_11 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (2140) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_4_20 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2142) implies:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) ~ (all_4_20 = e4)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_6_4 = e2
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2144) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_4_20 = e2
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (2145) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) $false
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2146) is inconsistent.
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) ~ (all_6_4 = e2)
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_8_4 = e1
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2138), (2149) are inconsistent by sub-proof
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #13.
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e1
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_8_2 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2151) imply:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_4_1 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2152) implies:
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_4_1 = e4
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2153) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_4_2 = e4)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) ~ (all_4_2 = e4)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_8_6 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2156) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_4_2 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2155), (2157) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) $false
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2158) is inconsistent.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2159) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_8_7 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2123), (2160) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) e4 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2161) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) e4 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2162) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) $false
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_6_4 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (2143), (2165) are inconsistent by
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2166) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_6_4 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (1320), (2167) are inconsistent by
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) ~ (all_6_4 = e1)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_6_4 = e3 | all_6_4 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_8_5 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2170) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_4_11 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2171) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_4_11 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2172) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) op(e3, e2) = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2164) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_8_8 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (409), (2174) are inconsistent by sub-proof
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_8_11 = e4 | all_8_18 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2175) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_8_11 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2115), (2176) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) e4 = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2177) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) e4 = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2178) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) $false
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2179) is inconsistent.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_8_18 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (2180) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_4_22 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2181) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_4_22 = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2182) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) op(e2, e0) = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_8_16 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2184) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_4_20 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2185) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_4_20 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (2186) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) ~ (e2 = e0)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (2186) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) ~ (e1 = e0)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2186) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) op(e4, e0) = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) unit = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2190) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) op(e3, e2) = e3
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2190) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) op(e2, e2) = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (2190) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) op(e0, e2) = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e2,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1333), (2193) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) e2 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e2,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (24), (2192) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) e3 = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2173), (2191) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) e3 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2194), (2195), (2196) are inconsistent by
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) unit = e4
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2135), (2198) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) $false
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2199) is inconsistent.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) unit = e3 | unit = e1 | unit = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) unit = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2201) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) op(e1, e3) = e3
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2201) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) op(e1, e0) = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2079), (2203) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) e3 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e3,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2086), (2202) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) e3 = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2204), (2205) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) e2 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2206) implies:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) e2 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2207) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) $false
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (unit = e1)
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) unit = e3 | unit = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2210) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) unit = e3
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2211) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) op(e3, e2) = e2
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2211) imply:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) op(e3, e0) = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e0,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2110), (2213) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) e2 = e0
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2173), (2212) gives:
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) e2 = e1
% 71.74/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2214), (2215) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) e1 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2216) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) $false
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2217) is inconsistent.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) unit = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2218) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) op(e4, e0) = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2218) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) op(e3, e0) = e3
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2218) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) op(e2, e0) = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (2218) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) op(e1, e0) = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2079), (2222) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) e3 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e0,
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2183), (2221) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) e4 = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e0,
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2110), (2220) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) e3 = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0,
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (2189), (2219) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) e4 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2224), (2226) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) e2 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2227) implies:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) e2 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2223), (2225) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) e2 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2229) implies:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) e2 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2228), (2230) are inconsistent by sub-proof
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) ~ (all_8_16 = e0)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2231) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) ~ (all_4_20 = e0)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (2076), (2169), (2232) are inconsistent by
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_8_5 = e1)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2233) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) ~ (all_4_11 = e1)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (2137), (2234) are
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #36.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2235) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_8_3 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (2236) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) e4 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2237) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) $false
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2238) is inconsistent.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2239) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_8_5 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2240) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_4_11 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2241) implies:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_4_11 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2131), (2242) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) $false
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2243) is inconsistent.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_8_10 = e4 | all_8_17 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2244) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_8_10 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (377), (504), (2245) are inconsistent by sub-proof
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #92.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_8_17 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2246) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) e4 = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2247) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) $false
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) ~ (all_8_4 = e4)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2249) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) ~ (all_4_10 = e4)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_6_7 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2251) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_4_11 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2252) implies:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_4_11 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2253) imply:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) ~ (all_4_10 = e1)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (1325), (2250), (2254) are
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #87.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_6_7 = e3 | all_6_7 = e0
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (2255) are inconsistent by
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_10_4 = e2 & ~ (unit = e4)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (347), (465), (2256) are inconsistent by sub-proof
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)))
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2257) implies:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (326), (329), (2083), (2258) are inconsistent by
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2259) gives:
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2260) implies:
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (2082), (2261) are inconsistent by
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2262) gives:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2263) implies:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2264) gives:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) ~ (all_10_9 = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2125), (2265) imply:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) $false
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2266) is inconsistent.
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_10_10 = e3 & ~ (unit = e1)
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2267) implies:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_10_10 = e3
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2118), (2268) imply:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) e3 = e2
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2078), (2269) imply:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 71.74/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2271) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (2073), (2078), (2272) are inconsistent by
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (317), (409), (1322), (2115), (2273)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #5.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_8_15 = e2 | all_8_23 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (402), (1332), (2274) are
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_6_9 = e2)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | (2276) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e1 |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | REDUCE: (441), (2275) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_4_21 = e2)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2278) all_6_9 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2278) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2279) all_4_21 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2279) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2280) all_4_21 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2281) all_8_17 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2282) all_10_7 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2283) ~ (all_4_1 = e4)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2284) ~ (all_4_11 = e4)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2285) ~ (all_4_20 = e4)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2286) ~ (all_4_22 = e4)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2286) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2287) ~ (all_4_22 = e4)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2280) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | (2288) op(e3, e0) = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | (2289) all_6_4 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (479), (2289) are inconsistent by sub-proof
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | #31.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | (2290) ~ (all_6_4 = e2)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | (2291) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_6_5 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (465), (2292) are inconsistent by sub-proof
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | #29.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | (2293) ~ (all_6_5 = e2)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e1 |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_8_16 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (371), (479), (2295) are inconsistent by sub-proof
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | #4.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2296) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_8_17 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2281), (2297) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) e4 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2298) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) e4 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2299) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) $false
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2300) is inconsistent.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_6_7 = e4
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (2284), (2302) are inconsistent by
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2303) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_6_7 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2304) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_4_11 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2305) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_4_11 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2306) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_8_5 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2306) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_10_5 = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2306) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) ~ (all_4_16 = e1)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2309) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) ~ (all_4_16 = e1)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2306) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) op(e3, e2) = e1
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_8_18 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (2312) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) all_4_22 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2313) implies:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_4_22 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (2314) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) ~ (all_4_17 = e2)
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2314) imply:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) op(e2, e0) = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_8_9 = e2
% 71.74/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (477), (2317) are inconsistent by sub-proof
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #46.
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2318) gives:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_8_10 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (377), (2319) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_4_16 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2320) implies:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_4_16 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_8_2 = e3
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2322) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_4_1 = e3
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2323) implies:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_4_1 = e3
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2324) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_10_4 = e3
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2324) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) ~ (all_4_2 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (2324) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) ~ (all_4_4 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2327) implies:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) ~ (all_4_4 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2283), (2324) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) ~ (e4 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_8_16 = e0
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2330) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_4_20 = e0
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2331) implies:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_4_20 = e0
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2076), (2332) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) ~ (e3 = e0)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2332) imply:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) op(e4, e0) = e0
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2335) gives:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) ~ (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (2282), (2325), (2337) are inconsistent by
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)))
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2338) implies:
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (326), (329), (2083), (2339) are inconsistent by
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2340) gives:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2341) implies:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (2082), (2342) are inconsistent by
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2343) gives:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2344) implies:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2345) gives:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (all_10_24 = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (2346) imply:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) $false
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2347) is inconsistent.
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_10_19 = e0 & ~ (unit = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2348) implies:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_10_19 = e0
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) ~ (unit = e1)
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (2349) imply:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_4_19 = e0
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2351) implies:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_4_19 = e0
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (2352) imply:
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_8_23 = e0
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (2352) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_4_4 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_6_20 = e2
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (471), (2355) are inconsistent by sub-proof
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) ~ (all_6_20 = e2)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_8_9 = e3
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2358) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_4_15 = e3
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_8_6 = e0
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2360) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_4_2 = e0
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2361) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) ~ (all_4_4 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (2361) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) ~ (all_4_17 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2363) implies:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) ~ (all_4_17 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (2361) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) ~ (e2 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2361) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) ~ (e1 = e0)
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_8_6 = e4
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2360), (2367) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) e4 = e0
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2368) implies:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) e4 = e0
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2369) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) $false
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2370) is inconsistent.
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_8_9 = e1
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2358), (2372) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) e3 = e1
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2373) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) $false
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2374) is inconsistent.
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e1
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2375) gives:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_8_10 = e1
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2319), (2376) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) e2 = e1
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2377) imply:
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) $false
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2378) is inconsistent.
% 71.74/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_6_20 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2380) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_4_4 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2381) implies:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_4_4 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (2382) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) op(e0, e4) = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_8_11 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2384) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_4_17 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2371) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_8_7 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (2386) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_4_7 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2387) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) op(e2, e3) = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) unit = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2389) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) op(e2, e0) = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2389) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) op(e3, e2) = e3
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2389) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) op(e2, e2) = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e0,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2316), (2390) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) e2 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e2,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (24), (2392) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) e3 = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2311), (2391) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) e3 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (2395) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) e2 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2396) implies:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) e2 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2393), (2397) are inconsistent by sub-proof
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #16.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) unit = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2399) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) op(e4, e4) = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (2399) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) op(e0, e4) = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (25), (2383), (2400), (2401),
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #25.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) unit = e3 | unit = e1 | unit = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) unit = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2350), (2403) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) $false
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2404) is inconsistent.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) unit = e3 | unit = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2405) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) unit = e3
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2406) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) op(e3, e2) = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2406) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) op(e3, e0) = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2406) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) op(e2, e3) = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2388), (2409) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) e4 = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e0, e0,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2288), (2408) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) e4 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2311), (2407) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) e2 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2410), (2411) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) e2 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2412), (2413) are inconsistent by sub-proof
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) unit = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2414) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) op(e4, e0) = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2414) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) op(e3, e0) = e3
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (2414) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) op(e1, e0) = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2079), (2417) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) e3 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e0,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2288), (2416) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) e4 = e3
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0,
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (2334), (2415) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) e4 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2419), (2420) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) e3 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2421) implies:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) e3 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2418), (2422) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) e1 = e0
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2423) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) $false
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2424) is inconsistent.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2425) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_8_8 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (409), (2426) are inconsistent by sub-proof
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #7.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_8_11 = e4 | all_8_18 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2427) gives:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_8_11 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (2428) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) e4 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2429) implies:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) e4 = e1
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2430) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) $false
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2431) is inconsistent.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_8_18 = e4
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2312), (2432) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) e4 = e2
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2433) imply:
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) $false
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_8_15 = e1 | all_8_23 = e1
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (304), (2353), (2435) are inconsistent
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #59.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1316), (2328), (2354), (2436) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) ~ (all_8_6 = e0)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2437) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_4_2 = e0)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_6_10 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (2439) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_4_2 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (2440) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2441) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e0
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_6_20 = e4
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (2443) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_4_4 = e4
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2444) implies:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_4_4 = e4
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2445) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) ~ (all_4_2 = e4)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (480), (2099), (2438), (2442), (2446) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1316), (2328), (2354), (2447) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2448) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_8_10 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2319), (2449) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) e3 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2450) implies:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) e3 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2078), (2451) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2452) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (304), (385), (490), (494), (2353), (2453)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #10.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2454) implies:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (2073), (2078), (2455) are inconsistent by
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_8_16 = e0)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2456) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) ~ (all_4_20 = e0)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (1320), (2076), (2285), (2291), (2457) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2458) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_8_3 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (2459) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) e3 = e0
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (2460) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2461) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2462) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_8_5 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2307), (2463) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) e3 = e1
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2464) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2465) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_8_10 = e3 | all_8_17 = e3
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2078), (2281), (2319), (2466) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2467) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_8_11 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (2315), (2468) are inconsistent by
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_8_15 = e2 | all_8_23 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (402), (1332), (2469) are
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) ~ (all_8_18 = e2)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (317), (2470) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) ~ (all_4_22 = e2)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_8_6 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2472) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_4_2 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (467), (2473) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2474) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2475) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) all_8_7 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (383), (2476) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_4_7 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2083), (2477) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) $false
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2478) is inconsistent.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) ~ (all_8_7 = e2)
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2480) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_8_8 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (409), (2078), (2481) are inconsistent by
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_8_11 = e2 | all_8_18 = e2
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2294) gives:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_6_5 = e4
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2483) imply:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_4_1 = e4
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 72.13/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_4_1 = e4
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2283), (2485) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) $false
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2486) is inconsistent.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_6_5 = e3 | all_6_5 = e1 | all_6_5 = e0
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) all_6_5 = e1
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (2098), (2488) are inconsistent by
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) all_6_5 = e3 | all_6_5 = e0
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2489) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_6_5 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2490) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) all_4_1 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2491) implies:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) all_4_1 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2492) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_10_4 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_6_8 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2494) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_4_16 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_4_16 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2496) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) ~ (all_4_17 = e2)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2497) implies:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) ~ (all_4_17 = e2)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_8_11 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (2498), (2499) are inconsistent by
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_8_18 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (317), (2471), (2500) are inconsistent by
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) ~ (all_6_8 = e2)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (2501) imply:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) ~ (all_4_16 = e2)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))))
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 &
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4)))
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) ~ (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (2282), (2493), (2505) are inconsistent by
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)))
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2506) implies:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (326), (329), (2083), (2507) are inconsistent by
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2508) gives:
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2509) implies:
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (2082), (2510) are inconsistent by
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.13/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)))
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2511) gives:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)))
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2512) implies:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) ~ (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) ~ (all_10_5 = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2308), (2514) imply:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) $false
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2515) is inconsistent.
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_10_6 = e2 & ~ (unit = e1)
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2516) implies:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_10_6 = e2
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2517) imply:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_4_16 = e2
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2518) implies:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_4_16 = e2
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2502), (2519) imply:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) $false
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent.
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2521) implies:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (2073), (2078), (2522) are inconsistent by
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_6_5 = e0
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (1291), (2523) are inconsistent by
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_6_7 = e3 | all_6_7 = e0
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (2524) are inconsistent by
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | (2525) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1300), (1321), (2077), (2525) are
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | (2526) ~ (all_6_15 = e1)
% 72.27/11.21 | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | REDUCE: (432), (2526) imply:
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | (2527) ~ (all_4_3 = e1)
% 72.27/11.21 | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (18), (19), (229), (304), (389),
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | (393), (2072), (2080), (2527) are inconsistent by
% 72.27/11.21 | | | | | | | | | | | | | | | | | | | sub-proof #97.
% 72.27/11.21 | | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | (2528) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | BETA: splitting (2528) gives:
% 72.27/11.21 | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | (2529) all_8_14 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (2529) imply:
% 72.27/11.21 | | | | | | | | | | | | | | | | | (2530) e2 = e0
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | REDUCE: (16), (2530) imply:
% 72.27/11.21 | | | | | | | | | | | | | | | | | (2531) $false
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | CLOSE: (2531) is inconsistent.
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | (2532) all_8_15 = e2 | all_8_19 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | BETA: splitting (2532) gives:
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | (2533) all_8_15 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (2533) are inconsistent by sub-proof
% 72.27/11.21 | | | | | | | | | | | | | | | | | | #71.
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | (2534) all_8_19 = e2
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2072), (2078), (2534) are inconsistent by
% 72.27/11.21 | | | | | | | | | | | | | | | | | | sub-proof #23.
% 72.27/11.21 | | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | Case 2:
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | (2535) all_6_19 = e0
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2535) imply:
% 72.27/11.21 | | | | | | | | | | | | | | | (2536) all_4_23 = e0
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | REDUCE: (502), (2536) imply:
% 72.27/11.21 | | | | | | | | | | | | | | | (2537) $false
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | | CLOSE: (2537) is inconsistent.
% 72.27/11.21 | | | | | | | | | | | | | | |
% 72.27/11.21 | | | | | | | | | | | | | | End of split
% 72.27/11.21 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | End of split
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | End of split
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | End of split
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | End of split
% 72.27/11.22 | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | Case 2:
% 72.27/11.22 | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | (2538) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 |
% 72.27/11.22 | | | | | | | | | | all_6_22 = e0
% 72.27/11.22 | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | BETA: splitting (2538) gives:
% 72.27/11.22 | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | (2539) all_6_22 = e4
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | COMBINE_EQS: (450), (2539) imply:
% 72.27/11.22 | | | | | | | | | | | (2540) all_4_14 = e4
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | COMBINE_EQS: (400), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2541) all_8_22 = e4
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | COMBINE_EQS: (293), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2542) all_10_18 = e4
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | REDUCE: (99), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2543) ~ (all_4_4 = e4)
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | REDUCE: (74), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2544) ~ (all_4_9 = e4)
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | REDUCE: (68), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2545) ~ (all_4_10 = e4)
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | REDUCE: (63), (2540) imply:
% 72.27/11.22 | | | | | | | | | | | (2546) ~ (all_4_11 = e4)
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | BETA: splitting (1325) gives:
% 72.27/11.22 | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | (2547) all_6_2 = e4
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | REF_CLOSE: (420), (2545), (2547) are inconsistent by
% 72.27/11.22 | | | | | | | | | | | | sub-proof #90.
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | Case 2:
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | (2548) ~ (all_6_2 = e4)
% 72.27/11.22 | | | | | | | | | | | | (2549) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | BETA: splitting (2549) gives:
% 72.27/11.22 | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | (2550) all_6_2 = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | COMBINE_EQS: (420), (2550) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2551) all_4_10 = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | SIMP: (2551) implies:
% 72.27/11.22 | | | | | | | | | | | | | (2552) all_4_10 = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | COMBINE_EQS: (367), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2553) all_8_4 = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | COMBINE_EQS: (356), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2554) all_10_1 = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (92), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2555) ~ (all_4_5 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (71), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2556) ~ (all_4_11 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | SIMP: (2556) implies:
% 72.27/11.22 | | | | | | | | | | | | | (2557) ~ (all_4_11 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (67), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2558) ~ (all_4_15 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | SIMP: (2558) implies:
% 72.27/11.22 | | | | | | | | | | | | | (2559) ~ (all_4_15 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (66), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2560) ~ (all_4_20 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (2545), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2561) ~ (e4 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (486), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2562) ~ (e3 = e1)
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | REDUCE: (149), (2552) imply:
% 72.27/11.22 | | | | | | | | | | | | | (2563) op(e4, e2) = e1
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | BETA: splitting (188) gives:
% 72.27/11.22 | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | (2564) all_6_7 = e2
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | COMBINE_EQS: (421), (2564) imply:
% 72.27/11.22 | | | | | | | | | | | | | | (2565) all_4_11 = e2
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | SIMP: (2565) implies:
% 72.27/11.22 | | | | | | | | | | | | | | (2566) all_4_11 = e2
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | REDUCE: (62), (2566) imply:
% 72.27/11.22 | | | | | | | | | | | | | | (2567) ~ (all_4_16 = e2)
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | SIMP: (2567) implies:
% 72.27/11.22 | | | | | | | | | | | | | | (2568) ~ (all_4_16 = e2)
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | REDUCE: (61), (2566) imply:
% 72.27/11.22 | | | | | | | | | | | | | | (2569) ~ (all_4_21 = e2)
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | SIMP: (2569) implies:
% 72.27/11.22 | | | | | | | | | | | | | | (2570) ~ (all_4_21 = e2)
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | REDUCE: (2546), (2566) imply:
% 72.27/11.22 | | | | | | | | | | | | | | (2571) ~ (e4 = e2)
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 72.27/11.22 | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | (2572) all_8_16 = e2
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | REF_CLOSE: (371), (479), (2572) are inconsistent by sub-proof
% 72.27/11.22 | | | | | | | | | | | | | | | #4.
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | Case 2:
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | (2573) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 72.27/11.22 | | | | | | | | | | | | | | | all_8_24 = e2
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 72.27/11.22 | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | (2574) all_8_17 = e2
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | REF_CLOSE: (378), (2570), (2574) are inconsistent by
% 72.27/11.22 | | | | | | | | | | | | | | | | sub-proof #38.
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | (2575) all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | BETA: splitting (2575) gives:
% 72.27/11.22 | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | (2576) all_8_18 = e2
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (2576) imply:
% 72.27/11.22 | | | | | | | | | | | | | | | | | (2577) all_4_22 = e2
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | SIMP: (2577) implies:
% 72.27/11.22 | | | | | | | | | | | | | | | | | (2578) all_4_22 = e2
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | REDUCE: (79), (2578) imply:
% 72.27/11.22 | | | | | | | | | | | | | | | | | (2579) ~ (all_4_7 = e2)
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 72.27/11.22 | | | | | | | | | | | | | | | | |
% 72.27/11.22 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.22 | | | | | | | | | | | | | | | | | |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (2580) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_1 = e4) | (all_10_20
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e2 & ~ (unit = e4))) & ( ~ (all_10_2 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4) | (all_10_20 = e1 & ~ (unit = e4))) & (
% 72.27/11.23 | | | | | | | | | | | | | | | | | | ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_4 = e4) | ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2
% 72.27/11.23 | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_6 = e4) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 72.27/11.23 | | | | | | | | | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_12 = e4) | ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_24 = e4) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_12 = e3) | (all_10_13
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e3))) & ( ~ (all_10_13 =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_16 = e3) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_19 = e3) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 72.27/11.23 | | | | | | | | | | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2
% 72.27/11.23 | | | | | | | | | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.23 | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit
% 72.27/11.23 | | | | | | | | | | | | | | | | | | = e3))))
% 72.27/11.23 | | | | | | | | | | | | | | | | | |
% 72.27/11.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (326), (329), (471), (2542), (2579), (2580)
% 72.27/11.23 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #62.
% 72.27/11.23 | | | | | | | | | | | | | | | | | |
% 72.27/11.23 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.23 | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (2581) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 72.27/11.24 | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 72.27/11.24 | | | | | | | | | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_12 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_14 = e4 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_14 = e2) | ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_15 = e2) | (all_10_14 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_22 = e2) | ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_23 = e2) | (all_10_14 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e2)))) | (( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 72.27/11.24 | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 72.27/11.24 | | | | | | | | | | | | | | | | | | = e0)))
% 72.27/11.24 | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 72.27/11.24 | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (2582) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_5 = e2) | ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1 &
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2)))
% 72.27/11.24 | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | (2583) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | e2))
% 72.27/11.24 | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | (2584) all_8_12 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (389), (469), (2584) are inconsistent by sub-proof
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | #73.
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | (2585) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | all_8_19 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | (2586) all_8_13 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2586) imply:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | (2587) all_4_8 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | (2588) all_4_8 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2588) imply:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | (2589) all_10_13 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (490), (2583), (2589) are inconsistent by
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | sub-proof #110.
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | (2590) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2590) gives:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2591) all_8_14 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (393), (2591) imply:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2592) e2 = e0
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2592) imply:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2593) $false
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2593) is inconsistent.
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2594) ~ (all_8_14 = e2)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2595) all_8_15 = e2 | all_8_19 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (2594) imply:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | (2596) ~ (e2 = e0)
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2595) gives:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | | (2597) all_8_15 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (304), (2597) are inconsistent by sub-proof
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | | #71.
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | | (2598) all_8_19 = e2
% 72.27/11.24 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (12), (15), (16),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (17), (18), (19), (20), (21), (23), (25), (48),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (73), (78), (82), (91), (98), (100), (106), (107),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (109), (110), (116), (130), (131), (140), (150),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (178), (179), (191), (193), (222), (223), (228),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (234), (237), (238), (246),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (248), (251), (252), (253), (256), (283), (290),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (296), (299), (304), (313), (316), (317), (322),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (326), (329), (335), (350), (353), (365), (369),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (373), (377), (378), (380), (383), (385), (389),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (391), (393), (396), (399), (402), (409), (416),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (428), (446), (448), (460), (463), (465), (467),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (471), (473), (477), (480), (481), (482), (483),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (490), (500), (503), (1279), (1287), (1290),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (1291), (1292), (1295), (1298), (1311), (1315),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (1316), (1317), (1319), (1320), (1321), (1322),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (2541), (2542), (2543), (2544), (2553), (2554),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (2555), (2559), (2563), (2568), (2598),
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | | #1.
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.25 | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.25 | | | | | | | | | | | | | | | | | | |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (2599) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_23 = e1) | ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1)) & ( ~ (all_10_24 = e1) | (all_10_19 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_0 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_3 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e1 & ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0)
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_17 = e0) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_19 = e0) |
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 72.27/11.25 | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_24 = e0) | ~ (unit
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | = e0)))
% 72.27/11.26 | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (2599) gives:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (2600) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1)))
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (2600) implies:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (2601) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1))
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (353), (477), (2554), (2601) are inconsistent by
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (2602) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | ~ (unit = e0))
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (2602) implies:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | (2603) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | e0))
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2603) gives:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2604) ~ (all_10_14 = e0)
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (310), (2604) imply:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2605) $false
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2605) is inconsistent.
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2606) all_10_15 = e2 & ~ (unit = e0)
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2606) implies:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2607) all_10_15 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (2607) imply:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2608) all_4_23 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2608) imply:
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | | (2609) all_8_19 = e2
% 72.27/11.26 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (12), (15), (16),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (17), (18), (19), (20), (21), (23), (25), (48),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (73), (78), (82), (91), (98), (100), (106), (107),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (109), (110), (116), (130), (131), (140), (150),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (178), (179), (191), (193), (222), (223), (228),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (229), (231), (232), (234), (237), (238), (246),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (248), (251), (252), (253), (256), (283), (290),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (296), (299), (304), (313), (316), (317), (322),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (326), (329), (335), (350), (353), (365), (369),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (373), (377), (378), (380), (383), (385), (389),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (391), (393), (396), (399), (402), (409), (416),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (428), (446), (448), (460), (463), (465), (467),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (471), (473), (477), (480), (481), (482), (483),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (490), (500), (503), (1279), (1287), (1290),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (1291), (1292), (1295), (1298), (1311), (1315),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (1316), (1317), (1319), (1320), (1321), (1322),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (2541), (2542), (2543), (2544), (2553), (2554),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (2555), (2559), (2563), (2568), (2609),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | | #1.
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.27 | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | (2610) all_8_19 = e2 | all_8_24 = e2
% 72.27/11.27 | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | BETA: splitting (2610) gives:
% 72.27/11.27 | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2611) all_8_19 = e2
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (9), (10), (12), (15), (16),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (17), (18), (19), (20), (21), (23), (25), (48),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (73), (78), (82), (91), (98), (100), (106), (107),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (109), (110), (116), (130), (131), (140), (150),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (178), (179), (191), (193), (222), (223), (228),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (229), (231), (232), (234), (237), (238), (246),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (248), (251), (252), (253), (256), (283), (290),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (296), (299), (304), (313), (316), (317), (322),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (326), (329), (335), (350), (353), (365), (369),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (373), (377), (378), (380), (383), (385), (389),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (391), (393), (396), (399), (402), (409), (416),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (428), (446), (448), (460), (463), (465), (467),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (471), (473), (477), (480), (481), (482), (483),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (490), (500), (503), (1279), (1287), (1290),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (1291), (1292), (1295), (1298), (1311), (1315),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (1316), (1317), (1319), (1320), (1321), (1322),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2541), (2542), (2543), (2544), (2553), (2554),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2555), (2559), (2563), (2568), (2611),
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 72.27/11.27 | | | | | | | | | | | | | | | | | | #1.
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2612) all_8_24 = e2
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (2612) imply:
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2613) e2 = e1
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | REDUCE: (17), (2613) imply:
% 72.27/11.27 | | | | | | | | | | | | | | | | | | (2614) $false
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | | CLOSE: (2614) is inconsistent.
% 72.27/11.27 | | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | Case 2:
% 72.27/11.27 | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | (2615) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 |
% 72.27/11.27 | | | | | | | | | | | | | | all_6_7 = e0
% 72.27/11.27 | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | | REF_CLOSE: (421), (488), (489), (2546), (2557), (2615) are
% 72.27/11.27 | | | | | | | | | | | | | | inconsistent by sub-proof #17.
% 72.27/11.27 | | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | Case 2:
% 72.27/11.27 | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | (2616) all_6_2 = e3 | all_6_2 = e0
% 72.27/11.27 | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | | REF_CLOSE: (420), (486), (487), (2616) are inconsistent by
% 72.27/11.27 | | | | | | | | | | | | | sub-proof #89.
% 72.27/11.27 | | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | Case 2:
% 72.27/11.27 | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | (2617) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 72.27/11.27 | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | | REF_CLOSE: (450), (492), (498), (1318), (2617) are
% 72.27/11.27 | | | | | | | | | | | inconsistent by sub-proof #85.
% 72.27/11.27 | | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | | |
% 72.27/11.27 | | | | | | | | | End of split
% 72.27/11.27 | | | | | | | | |
% 72.27/11.27 | | | | | | | | End of split
% 72.27/11.27 | | | | | | | |
% 72.27/11.27 | | | | | | | End of split
% 72.27/11.27 | | | | | | |
% 72.27/11.27 | | | | | | End of split
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | End of split
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | End of split
% 72.27/11.27 | | | |
% 72.27/11.27 | | | Case 2:
% 72.27/11.27 | | | |
% 72.27/11.27 | | | | (2618) all_10_22 = e0 | all_10_23 = e0 | all_10_24 = e0
% 72.27/11.27 | | | |
% 72.27/11.27 | | | | BETA: splitting (2618) gives:
% 72.27/11.27 | | | |
% 72.27/11.27 | | | | Case 1:
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | (2619) all_10_22 = e0
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | COMBINE_EQS: (326), (2619) imply:
% 72.27/11.27 | | | | | (2620) e3 = e0
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | SIMP: (2620) implies:
% 72.27/11.27 | | | | | (2621) e3 = e0
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | REDUCE: (490), (2621) imply:
% 72.27/11.27 | | | | | (2622) $false
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | CLOSE: (2622) is inconsistent.
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | Case 2:
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | (2623) all_10_23 = e0 | all_10_24 = e0
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | BETA: splitting (2623) gives:
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | | Case 1:
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | (2624) all_10_23 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | COMBINE_EQS: (461), (2624) imply:
% 72.27/11.27 | | | | | | (2625) e4 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | SIMP: (2625) implies:
% 72.27/11.27 | | | | | | (2626) e4 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | REDUCE: (500), (2626) imply:
% 72.27/11.27 | | | | | | (2627) $false
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | CLOSE: (2627) is inconsistent.
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | Case 2:
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | (2628) all_10_24 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | COMBINE_EQS: (287), (2628) imply:
% 72.27/11.27 | | | | | | (2629) all_4_24 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | SIMP: (2629) implies:
% 72.27/11.27 | | | | | | (2630) all_4_24 = e0
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | REDUCE: (1281), (2630) imply:
% 72.27/11.27 | | | | | | (2631) $false
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | | CLOSE: (2631) is inconsistent.
% 72.27/11.27 | | | | | |
% 72.27/11.27 | | | | | End of split
% 72.27/11.27 | | | | |
% 72.27/11.27 | | | | End of split
% 72.27/11.27 | | | |
% 72.27/11.27 | | | End of split
% 72.27/11.27 | | |
% 72.27/11.27 | | End of split
% 72.27/11.27 | |
% 72.27/11.27 | End of split
% 72.27/11.27 |
% 72.27/11.27 End of proof
% 72.27/11.27
% 72.27/11.27 Sub-proof #1 shows that the following formulas are inconsistent:
% 72.27/11.27 ----------------------------------------------------------------
% 72.27/11.27 (1) ~ (all_4_5 = e0)
% 72.27/11.27 (2) ~ (e2 = e0)
% 72.27/11.27 (3) all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20 =
% 72.27/11.27 e4
% 72.27/11.27 (4) ~ (all_4_15 = e4)
% 72.27/11.27 (5) ~ (all_4_5 = all_4_15)
% 72.27/11.27 (6) ~ (e4 = e1)
% 72.27/11.27 (7) ~ (all_4_7 = all_4_9)
% 72.27/11.27 (8) ~ (e2 = e1)
% 72.27/11.27 (9) ~ (all_4_7 = e3)
% 72.27/11.27 (10) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 72.27/11.27 e1
% 72.27/11.27 (11) all_8_0 = e2
% 72.27/11.28 (12) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 72.27/11.28 (13) all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 72.27/11.28 (14) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 72.27/11.28 (15) all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 =
% 72.27/11.28 e0
% 72.27/11.28 (16) all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 | all_8_24
% 72.27/11.28 = e4
% 72.27/11.28 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.27/11.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.27/11.28 (18) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 =
% 72.27/11.28 e4
% 72.27/11.28 (19) ~ (all_4_1 = all_4_4)
% 72.27/11.28 (20) ~ (all_4_2 = all_4_7)
% 72.27/11.28 (21) all_8_8 = e3
% 72.27/11.28 (22) op(unit, e2) = e2
% 72.27/11.28 (23) all_10_2 = all_4_15
% 72.27/11.28 (24) ~ (all_4_9 = e1)
% 72.27/11.28 (25) all_8_22 = e4
% 72.27/11.28 (26) all_10_12 = all_4_3
% 72.27/11.28 (27) all_10_3 = all_4_20
% 72.27/11.28 (28) all_10_7 = all_4_21
% 72.27/11.28 (29) ~ (all_4_9 = all_4_19)
% 72.27/11.28 (30) all_10_21 = e0
% 72.27/11.28 (31) op(e1, e2) = e0
% 72.27/11.28 (32) all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 =
% 72.27/11.28 e2
% 72.27/11.28 (33) all_8_7 = all_4_7
% 72.27/11.28 (34) all_8_19 = e2
% 72.27/11.28 (35) ~ (all_4_16 = e0)
% 72.27/11.28 (36) all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 72.27/11.28 = e2
% 72.27/11.28 (37) ~ (all_4_3 = e4)
% 72.27/11.28 (38) op(e0, e3) = all_4_9
% 72.27/11.28 (39) all_6_20 = all_4_4
% 72.27/11.28 (40) all_8_3 = e0
% 72.27/11.28 (41) all_8_20 = all_4_4
% 72.27/11.28 (42) all_6_1 = all_4_5
% 72.27/11.28 (43) ~ (all_4_4 = all_4_19)
% 72.27/11.28 (44) ~ (all_4_15 = all_4_19)
% 72.27/11.28 (45) all_10_19 = all_4_19
% 72.27/11.28 (46) all_8_17 = all_4_21
% 72.27/11.28 (47) op(e1, unit) = e1
% 72.27/11.28 (48) ~ (all_4_4 = all_4_9)
% 72.27/11.28 (49) op(e4, e4) = e2
% 72.27/11.28 (50) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 72.27/11.28 = e0
% 72.27/11.28 (51) op(unit, e3) = e3
% 72.27/11.28 (52) ~ (e4 = e3)
% 72.27/11.28 (53) ~ (all_4_4 = e2)
% 72.27/11.28 (54) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | all_6_21
% 72.27/11.28 = e0
% 72.27/11.28 (55) ~ (all_4_2 = all_4_22)
% 72.27/11.28 (56) all_10_11 = all_4_22
% 72.27/11.28 (57) all_8_14 = e0
% 72.27/11.28 (58) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.27/11.28 e1
% 72.27/11.28 (59) ~ (all_4_8 = all_4_9)
% 72.27/11.28 (60) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 72.27/11.28 (61) ~ (all_4_2 = all_4_17)
% 72.27/11.28 (62) all_10_16 = all_4_4
% 72.27/11.28 (63) all_8_11 = all_4_17
% 72.27/11.28 (64) all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 72.27/11.28 = e1
% 72.27/11.28 (65) ~ (all_4_4 = e1)
% 72.27/11.28 (66) all_8_15 = e4
% 72.27/11.28 (67) all_8_9 = all_4_15
% 72.27/11.28 (68) ~ (all_4_9 = e0)
% 72.27/11.28 (69) all_10_17 = all_4_9
% 72.27/11.28 (70) ~ (all_4_16 = e2)
% 72.27/11.28 (71) op(e4, unit) = e4
% 72.27/11.28 (72) op(e4, e2) = e1
% 72.27/11.28 (73) ~ (all_4_20 = e1)
% 72.27/11.28 (74) ~ (e4 = e0)
% 72.27/11.28 (75) op(e2, unit) = e2
% 72.27/11.28 (76) ~ (e3 = e1)
% 72.27/11.28 (77) all_6_3 = all_4_15
% 72.27/11.28 (78) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23
% 72.27/11.28 = e0
% 72.27/11.28 (79) all_8_6 = all_4_2
% 72.27/11.28 (80) ~ (e1 = e0)
% 72.27/11.28 (81) all_10_22 = e3
% 72.27/11.28 (82) ~ (all_4_1 = e0)
% 72.27/11.28 (83) all_10_1 = e1
% 72.27/11.28 (84) all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 | all_8_23
% 72.27/11.28 = e2
% 72.27/11.28 (85) all_6_21 = all_4_9
% 72.27/11.28 (86) all_10_10 = all_4_17
% 72.27/11.28 (87) ~ (all_4_4 = e4)
% 72.27/11.28 (88) ~ (all_4_22 = e1)
% 72.27/11.28 (89) op(e2, e3) = all_4_7
% 72.27/11.29 (90) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & ( ~
% 72.27/11.29 (all_10_1 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~ (all_10_2
% 72.27/11.29 = e4) | (all_10_20 = e1 & ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.27/11.29 (all_10_20 = e0 & ~ (unit = e4))) & ( ~ (all_10_4 = e4) | ~ (unit
% 72.27/11.29 = e4)) & ( ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit = e4))) &
% 72.27/11.29 ( ~ (all_10_6 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.29 (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8
% 72.27/11.29 = e4) | ~ (unit = e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 &
% 72.27/11.29 ~ (unit = e4))) & ( ~ (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit
% 72.27/11.29 = e4))) & ( ~ (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit =
% 72.27/11.29 e4))) & ( ~ (all_10_12 = e4) | ~ (unit = e4)) & ( ~ (all_10_13
% 72.27/11.29 = e4) | (all_10_12 = e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 72.27/11.29 | (all_10_12 = e2 & ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 72.27/11.29 (all_10_12 = e0 & ~ (unit = e4))) & ( ~ (all_10_16 = e4) | ~ (unit
% 72.27/11.29 = e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3 & ~ (unit = e4)))
% 72.27/11.29 & ( ~ (all_10_18 = e4) | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.29 (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.29 (all_10_20 = e4) | ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.27/11.29 (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_8
% 72.27/11.29 = e2 & ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_12 = e1 &
% 72.27/11.29 ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_16 = e0 & ~
% 72.27/11.29 (unit = e4)))) | (( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.29 (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit = e3))) & ( ~ (all_10_2
% 72.27/11.29 = e3) | (all_10_0 = e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.27/11.29 (all_10_0 = e0 & ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_21
% 72.27/11.29 = e4 & ~ (unit = e3))) & ( ~ (all_10_5 = e3) | (all_10_21 = e2 &
% 72.27/11.29 ~ (unit = e3))) & ( ~ (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit
% 72.27/11.29 = e3))) & ( ~ (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 72.27/11.29 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit = e3)))
% 72.27/11.29 & ( ~ (all_10_9 = e3) | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 72.27/11.29 (all_10_9 = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3) | (all_10_9
% 72.27/11.29 = e0 & ~ (unit = e3))) & ( ~ (all_10_12 = e3) | (all_10_13 = e4 &
% 72.27/11.29 ~ (unit = e3))) & ( ~ (all_10_13 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.29 (all_10_14 = e3) | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 72.27/11.29 (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.29 (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 72.27/11.29 (all_10_17 = e3) | ~ (unit = e3)) & ( ~ (all_10_18 = e3) |
% 72.27/11.29 (all_10_17 = e2 & ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.27/11.29 (all_10_17 = e1 & ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.27/11.29 (all_10_0 = e4 & ~ (unit = e3))) & ( ~ (all_10_21 = e3) | ~ (unit
% 72.27/11.29 = e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit = e3)))
% 72.27/11.29 & ( ~ (all_10_23 = e3) | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.29 (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit = e3)))) | (( ~
% 72.27/11.29 (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit = e2))) & ( ~ (all_10_1
% 72.27/11.29 = e2) | ~ (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 72.27/11.29 ~ (unit = e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 & ~ (unit
% 72.27/11.29 = e2))) & ( ~ (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit =
% 72.27/11.29 e2))) & ( ~ (all_10_5 = e2) | ~ (unit = e2)) & ( ~ (all_10_6 =
% 72.27/11.29 e2) | (all_10_5 = e1 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) |
% 72.27/11.29 (all_10_5 = e0 & ~ (unit = e2))) & ( ~ (all_10_8 = e2) | (all_10_22
% 72.27/11.29 = e4 & ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_22 = e3 &
% 72.27/11.29 ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_22 = e1 & ~
% 72.27/11.29 (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit
% 72.27/11.29 = e2))) & ( ~ (all_10_12 = e2) | (all_10_14 = e4 & ~ (unit =
% 72.27/11.29 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit =
% 72.27/11.29 e2))) & ( ~ (all_10_14 = e2) | ~ (unit = e2)) & ( ~ (all_10_15
% 72.27/11.29 = e2) | (all_10_14 = e0 & ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 72.27/11.29 | (all_10_18 = e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 72.27/11.29 (all_10_18 = e3 & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | ~ (unit
% 72.27/11.29 = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit = e2)))
% 72.27/11.29 & ( ~ (all_10_20 = e2) | (all_10_1 = e4 & ~ (unit = e2))) & ( ~
% 72.27/11.29 (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.29 (all_10_22 = e2) | ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.27/11.29 (all_10_14 = e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.27/11.29 (all_10_18 = e0 & ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.27/11.29 (all_10_2 = e3 & ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_2
% 72.27/11.29 = e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~ (unit = e1)) &
% 72.27/11.29 ( ~ (all_10_3 = e1) | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.29 (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit = e1))) & ( ~ (all_10_5
% 72.27/11.29 = e1) | (all_10_6 = e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.27/11.29 ~ (unit = e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 & ~ (unit =
% 72.27/11.29 e1))) & ( ~ (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit = e1)))
% 72.27/11.29 & ( ~ (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.29 (all_10_10 = e1) | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.27/11.29 (all_10_10 = e0 & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.29 (all_10_23 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 72.27/11.29 (all_10_23 = e3 & ~ (unit = e1))) & ( ~ (all_10_14 = e1) |
% 72.27/11.29 (all_10_23 = e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.29 (all_10_23 = e0 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.27/11.29 (all_10_19 = e4 & ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.29 (all_10_19 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 72.27/11.29 (all_10_19 = e2 & ~ (unit = e1))) & ( ~ (all_10_19 = e1) | ~ (unit
% 72.27/11.29 = e1)) & ( ~ (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit = e1)))
% 72.27/11.29 & ( ~ (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.29 (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.29 (all_10_23 = e1) | ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.27/11.29 (all_10_19 = e0 & ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.27/11.29 (all_10_3 = e3 & ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_3
% 72.27/11.29 = e2 & ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_3 = e1 &
% 72.27/11.29 ~ (unit = e0))) & ( ~ (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.29 (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit = e0))) & ( ~ (all_10_5
% 72.27/11.29 = e0) | (all_10_7 = e2 & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.27/11.29 (all_10_7 = e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | ~ (unit =
% 72.27/11.29 e0)) & ( ~ (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit = e0))) &
% 72.27/11.29 ( ~ (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_10 = e0) | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_11 = e0) | ~ (unit = e0)) & ( ~ (all_10_12 = e0) |
% 72.27/11.29 (all_10_15 = e4 & ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.27/11.29 (all_10_15 = e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.29 (all_10_15 = e2 & ~ (unit = e0))) & ( ~ (all_10_15 = e0) | ~ (unit
% 72.27/11.29 = e0)) & ( ~ (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit = e0)))
% 72.27/11.29 & ( ~ (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.29 (all_10_24 = e0) | ~ (unit = e0)))
% 72.27/11.29 (91) ~ (all_4_1 = e2)
% 72.27/11.29 (92) all_8_10 = all_4_16
% 72.27/11.29 (93) ~ (e3 = e0)
% 72.27/11.29 (94) ~ (all_4_2 = all_4_4)
% 72.27/11.29 (95) all_8_23 = all_4_19
% 72.27/11.29 (96) all_8_4 = e1
% 72.27/11.29 (97) ~ (all_4_19 = e1)
% 72.27/11.29 (98) all_8_1 = all_4_5
% 72.27/11.29 (99) ~ (all_4_21 = e1)
% 72.27/11.29 (100) ~ (e4 = e2)
% 72.27/11.29 (101) ~ (all_4_5 = e2)
% 72.27/11.29 (102) all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 =
% 72.27/11.29 e0
% 72.27/11.29 (103) all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 72.27/11.29 all_8_24 = e3
% 72.27/11.29 (104) all_8_18 = all_4_22
% 72.27/11.29 (105) op(e4, e3) = all_4_5
% 72.27/11.29 (106) ~ (all_4_9 = e4)
% 72.27/11.29 (107) ~ (all_4_15 = e2)
% 72.27/11.29 (108) all_8_13 = all_4_8
% 72.27/11.29 (109) all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17 =
% 72.27/11.29 e4
% 72.27/11.29 (110) all_8_2 = all_4_1
% 72.27/11.29 (111) all_8_21 = all_4_9
% 72.27/11.29 (112) all_10_9 = all_4_7
% 72.27/11.29 (113) op(e0, e4) = all_4_4
% 72.27/11.29 (114) op(e0, unit) = e0
% 72.27/11.29 (115) all_8_24 = e1
% 72.27/11.29 (116) all_10_13 = all_4_8
% 72.27/11.29 (117) all_10_18 = e4
% 72.27/11.29 (118) ~ (all_4_5 = e1)
% 72.27/11.29 (119) ~ (all_4_3 = e0)
% 72.27/11.29 (120) all_8_12 = all_4_3
% 72.27/11.29 (121) all_10_24 = e1
% 72.27/11.29 (122) all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 72.27/11.29 all_8_19 = e3
% 72.27/11.29 (123) ~ (all_4_2 = e2)
% 72.27/11.29 (124) ~ (all_4_2 = e3)
% 72.27/11.29 (125) ~ (all_4_15 = e1)
% 72.27/11.29
% 72.27/11.29 Begin of proof
% 72.27/11.29 |
% 72.27/11.29 | BETA: splitting (14) gives:
% 72.27/11.29 |
% 72.27/11.29 | Case 1:
% 72.27/11.29 | |
% 72.27/11.29 | | (126) all_6_1 = e2
% 72.27/11.29 | |
% 72.27/11.29 | | REF_CLOSE: (42), (101), (126) are inconsistent by sub-proof #32.
% 72.27/11.29 | |
% 72.27/11.29 | Case 2:
% 72.27/11.29 | |
% 72.27/11.29 | | (127) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 72.27/11.29 | |
% 72.27/11.29 | | BETA: splitting (54) gives:
% 72.27/11.29 | |
% 72.27/11.29 | | Case 1:
% 72.27/11.29 | | |
% 72.27/11.29 | | | (128) all_6_21 = e2
% 72.27/11.29 | | |
% 72.27/11.29 | | | COMBINE_EQS: (85), (128) imply:
% 72.27/11.29 | | | (129) all_4_9 = e2
% 72.27/11.29 | | |
% 72.27/11.29 | | | SIMP: (129) implies:
% 72.27/11.30 | | | (130) all_4_9 = e2
% 72.27/11.30 | | |
% 72.27/11.30 | | | COMBINE_EQS: (69), (130) imply:
% 72.27/11.30 | | | (131) all_10_17 = e2
% 72.27/11.30 | | |
% 72.27/11.30 | | | REDUCE: (7), (130) imply:
% 72.27/11.30 | | | (132) ~ (all_4_7 = e2)
% 72.27/11.30 | | |
% 72.27/11.30 | | | REDUCE: (29), (130) imply:
% 72.27/11.30 | | | (133) ~ (all_4_19 = e2)
% 72.27/11.30 | | |
% 72.27/11.30 | | | SIMP: (133) implies:
% 72.27/11.30 | | | (134) ~ (all_4_19 = e2)
% 72.27/11.30 | | |
% 72.27/11.30 | | | REDUCE: (106), (130) imply:
% 72.27/11.30 | | | (135) ~ (e4 = e2)
% 72.27/11.30 | | |
% 72.27/11.30 | | | REDUCE: (38), (130) imply:
% 72.27/11.30 | | | (136) op(e0, e3) = e2
% 72.27/11.30 | | |
% 72.27/11.30 | | | BETA: splitting (84) gives:
% 72.27/11.30 | | |
% 72.27/11.30 | | | Case 1:
% 72.27/11.30 | | | |
% 72.27/11.30 | | | | (137) all_8_9 = e2
% 72.27/11.30 | | | |
% 72.27/11.30 | | | | REF_CLOSE: (67), (107), (137) are inconsistent by sub-proof #46.
% 72.27/11.30 | | | |
% 72.27/11.30 | | | Case 2:
% 72.27/11.30 | | | |
% 72.27/11.30 | | | | (138) ~ (all_8_9 = e2)
% 72.27/11.30 | | | | (139) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 72.27/11.30 | | | |
% 72.27/11.30 | | | | BETA: splitting (90) gives:
% 72.27/11.30 | | | |
% 72.27/11.30 | | | | Case 1:
% 72.27/11.30 | | | | |
% 72.27/11.30 | | | | | (140) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & (
% 72.27/11.30 | | | | | ~ (all_10_1 = e4) | (all_10_20 = e2 & ~ (unit = e4))) &
% 72.27/11.30 | | | | | ( ~ (all_10_2 = e4) | (all_10_20 = e1 & ~ (unit = e4))) &
% 72.27/11.30 | | | | | ( ~ (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit = e4))) &
% 72.27/11.30 | | | | | ( ~ (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_5 = e4)
% 72.27/11.30 | | | | | | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_6 = e4)
% 72.27/11.30 | | | | | | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_7 = e4)
% 72.27/11.30 | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8 = e4)
% 72.27/11.30 | | | | | | ~ (unit = e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3
% 72.27/11.30 | | | | | & ~ (unit = e4))) & ( ~ (all_10_10 = e4) | (all_10_8 =
% 72.27/11.30 | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_11 = e4) |
% 72.27/11.30 | | | | | (all_10_8 = e0 & ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 72.27/11.30 | | | | | | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | (all_10_12 =
% 72.27/11.30 | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.27/11.30 | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~ (all_10_15 = e4)
% 72.27/11.30 | | | | | | (all_10_12 = e0 & ~ (unit = e4))) & ( ~ (all_10_16 =
% 72.27/11.30 | | | | | e4) | ~ (unit = e4)) & ( ~ (all_10_17 = e4) |
% 72.27/11.30 | | | | | (all_10_16 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 72.27/11.30 | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~ (all_10_19 =
% 72.27/11.30 | | | | | e4) | (all_10_16 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.30 | | | | | (all_10_20 = e4) | ~ (unit = e4)) & ( ~ (all_10_21 = e4)
% 72.27/11.30 | | | | | | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_22 =
% 72.27/11.30 | | | | | e4) | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.30 | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit = e4))) & (
% 72.27/11.30 | | | | | ~ (all_10_24 = e4) | (all_10_16 = e0 & ~ (unit = e4))))
% 72.27/11.30 | | | | | | (( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~ (all_10_1 =
% 72.27/11.30 | | | | | e3) | (all_10_0 = e2 & ~ (unit = e3))) & ( ~ (all_10_2
% 72.27/11.30 | | | | | = e3) | (all_10_0 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_3 = e3) | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_9 = e3) | ~ (unit = e3)) & ( ~ (all_10_10 =
% 72.27/11.30 | | | | | e3) | (all_10_9 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_13 = e3) | ~ (unit = e3)) & ( ~ (all_10_14 =
% 72.27/11.30 | | | | | e3) | (all_10_13 = e2 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_17 = e3) | ~ (unit = e3)) & ( ~ (all_10_18 =
% 72.27/11.30 | | | | | e3) | (all_10_17 = e2 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_19 = e3) | (all_10_17 = e1 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit = e3))) &
% 72.27/11.30 | | | | | ( ~ (all_10_21 = e3) | ~ (unit = e3)) & ( ~ (all_10_22 =
% 72.27/11.30 | | | | | e3) | (all_10_9 = e2 & ~ (unit = e3))) & ( ~
% 72.27/11.30 | | | | | (all_10_23 = e3) | (all_10_13 = e1 & ~ (unit = e3))) & (
% 72.27/11.30 | | | | | ~ (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit = e3))))
% 72.27/11.30 | | | | |
% 72.27/11.30 | | | | | REF_CLOSE: (53), (62), (81), (112), (117), (132), (140) are
% 72.27/11.30 | | | | | inconsistent by sub-proof #62.
% 72.27/11.30 | | | | |
% 72.27/11.30 | | | | Case 2:
% 72.27/11.30 | | | | |
% 72.27/11.31 | | | | | (141) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | ~ (all_10_1 = e2) | ~ (unit = e2)) & ( ~ (all_10_2 = e2)
% 72.27/11.31 | | | | | | (all_10_1 = e1 & ~ (unit = e2))) & ( ~ (all_10_3 = e2)
% 72.27/11.31 | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~ (all_10_4 = e2)
% 72.27/11.31 | | | | | | (all_10_5 = e4 & ~ (unit = e2))) & ( ~ (all_10_5 = e2)
% 72.27/11.31 | | | | | | ~ (unit = e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 72.27/11.31 | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_5 =
% 72.27/11.31 | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 72.27/11.31 | | | | | (all_10_22 = e4 & ~ (unit = e2))) & ( ~ (all_10_9 = e2)
% 72.27/11.31 | | | | | | (all_10_22 = e3 & ~ (unit = e2))) & ( ~ (all_10_10 =
% 72.27/11.31 | | | | | e2) | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | ~ (all_10_12 = e2) | (all_10_14 = e4 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | ( ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | ( ~ (all_10_14 = e2) | ~ (unit = e2)) & ( ~ (all_10_15 =
% 72.27/11.31 | | | | | e2) | (all_10_14 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | (all_10_16 = e2) | (all_10_18 = e4 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | ~ (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | ( ~ (all_10_18 = e2) | ~ (unit = e2)) & ( ~ (all_10_19 =
% 72.27/11.31 | | | | | e2) | (all_10_18 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | (all_10_20 = e2) | (all_10_1 = e4 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | ~ (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | ( ~ (all_10_22 = e2) | ~ (unit = e2)) & ( ~ (all_10_23 =
% 72.27/11.31 | | | | | e2) | (all_10_14 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | (all_10_24 = e2) | (all_10_18 = e0 & ~ (unit = e2)))) |
% 72.27/11.31 | | | | | (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit = e1))) & (
% 72.27/11.31 | | | | | ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))) & (
% 72.27/11.31 | | | | | ~ (all_10_2 = e1) | ~ (unit = e1)) & ( ~ (all_10_3 = e1)
% 72.27/11.31 | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1)
% 72.27/11.31 | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~ (all_10_5 = e1)
% 72.27/11.31 | | | | | | (all_10_6 = e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.27/11.31 | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0
% 72.27/11.31 | | | | | & ~ (unit = e1))) & ( ~ (all_10_8 = e1) | (all_10_10 =
% 72.27/11.31 | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 72.27/11.31 | | | | | (all_10_10 = e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.27/11.31 | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) | (all_10_10 =
% 72.27/11.31 | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.31 | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1)
% 72.27/11.31 | | | | | | (all_10_23 = e3 & ~ (unit = e1))) & ( ~ (all_10_14 =
% 72.27/11.31 | | | | | e1) | (all_10_23 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.31 | | | | | (all_10_15 = e1) | (all_10_23 = e0 & ~ (unit = e1))) & (
% 72.27/11.31 | | | | | ~ (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit = e1))) &
% 72.27/11.31 | | | | | ( ~ (all_10_17 = e1) | (all_10_19 = e3 & ~ (unit = e1))) &
% 72.27/11.31 | | | | | ( ~ (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit = e1))) &
% 72.27/11.31 | | | | | ( ~ (all_10_19 = e1) | ~ (unit = e1)) & ( ~ (all_10_20 =
% 72.27/11.31 | | | | | e1) | (all_10_2 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.31 | | | | | (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit = e1))) & (
% 72.27/11.31 | | | | | ~ (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit = e1))) &
% 72.27/11.31 | | | | | ( ~ (all_10_23 = e1) | ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.27/11.31 | | | | | e1) | (all_10_19 = e0 & ~ (unit = e1)))) | (( ~
% 72.27/11.31 | | | | | (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.31 | | | | | (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.31 | | | | | (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.31 | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~ (all_10_4 = e0) |
% 72.27/11.31 | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~ (all_10_5 = e0) |
% 72.27/11.31 | | | | | (all_10_7 = e2 & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.27/11.31 | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.27/11.31 | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) | (all_10_11 = e4 &
% 72.27/11.31 | | | | | ~ (unit = e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 72.27/11.31 | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 72.27/11.31 | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 72.27/11.31 | | | | | | ~ (unit = e0)) & ( ~ (all_10_12 = e0) | (all_10_15 =
% 72.27/11.31 | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.27/11.31 | | | | | (all_10_15 = e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0)
% 72.27/11.31 | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~ (all_10_15 =
% 72.27/11.31 | | | | | e0) | ~ (unit = e0)) & ( ~ (all_10_16 = e0) |
% 72.27/11.31 | | | | | (all_10_24 = e4 & ~ (unit = e0))) & ( ~ (all_10_17 = e0)
% 72.27/11.31 | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~ (all_10_18 =
% 72.27/11.31 | | | | | e0) | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.31 | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit = e0))) & (
% 72.27/11.31 | | | | | ~ (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit = e0))) &
% 72.27/11.31 | | | | | ( ~ (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit = e0))) &
% 72.27/11.31 | | | | | ( ~ (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit = e0))) &
% 72.27/11.31 | | | | | ( ~ (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit = e0))) &
% 72.27/11.31 | | | | | ( ~ (all_10_24 = e0) | ~ (unit = e0)))
% 72.27/11.31 | | | | |
% 72.27/11.31 | | | | | BETA: splitting (141) gives:
% 72.27/11.31 | | | | |
% 72.27/11.31 | | | | | Case 1:
% 72.27/11.31 | | | | | |
% 72.27/11.31 | | | | | | (142) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | | ~ (all_10_1 = e2) | ~ (unit = e2)) & ( ~ (all_10_2 = e2)
% 72.27/11.31 | | | | | | | (all_10_1 = e1 & ~ (unit = e2))) & ( ~ (all_10_3 = e2)
% 72.27/11.31 | | | | | | | (all_10_1 = e0 & ~ (unit = e2))) & ( ~ (all_10_4 = e2)
% 72.27/11.31 | | | | | | | (all_10_5 = e4 & ~ (unit = e2))) & ( ~ (all_10_5 = e2)
% 72.27/11.31 | | | | | | | ~ (unit = e2)) & ( ~ (all_10_6 = e2) | (all_10_5 = e1
% 72.27/11.31 | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_5 =
% 72.27/11.31 | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 72.27/11.31 | | | | | | (all_10_22 = e4 & ~ (unit = e2))) & ( ~ (all_10_9 = e2)
% 72.27/11.31 | | | | | | | (all_10_22 = e3 & ~ (unit = e2))) & ( ~ (all_10_10 =
% 72.27/11.31 | | | | | | e2) | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | | ~ (all_10_12 = e2) | (all_10_14 = e4 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | | ( ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | | ( ~ (all_10_14 = e2) | ~ (unit = e2)) & ( ~ (all_10_15 =
% 72.27/11.31 | | | | | | e2) | (all_10_14 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | | (all_10_16 = e2) | (all_10_18 = e4 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | | ~ (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | | ( ~ (all_10_18 = e2) | ~ (unit = e2)) & ( ~ (all_10_19 =
% 72.27/11.31 | | | | | | e2) | (all_10_18 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | | (all_10_20 = e2) | (all_10_1 = e4 & ~ (unit = e2))) & (
% 72.27/11.31 | | | | | | ~ (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit = e2))) &
% 72.27/11.31 | | | | | | ( ~ (all_10_22 = e2) | ~ (unit = e2)) & ( ~ (all_10_23 =
% 72.27/11.31 | | | | | | e2) | (all_10_14 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.31 | | | | | | (all_10_24 = e2) | (all_10_18 = e0 & ~ (unit = e2)))
% 72.27/11.31 | | | | | |
% 72.27/11.31 | | | | | | REF_CLOSE: (52), (117), (131), (142) are inconsistent by sub-proof
% 72.27/11.31 | | | | | | #61.
% 72.27/11.31 | | | | | |
% 72.27/11.31 | | | | | Case 2:
% 72.27/11.31 | | | | | |
% 72.27/11.32 | | | | | | (143) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_2 = e1) | ~ (unit = e1)) & ( ~ (all_10_3 =
% 72.27/11.32 | | | | | | e1) | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit = e1))) & (
% 72.27/11.32 | | | | | | ~ (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_6 = e1) | ~ (unit = e1)) & ( ~ (all_10_7 =
% 72.27/11.32 | | | | | | e1) | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_10 = e1) | ~ (unit = e1)) & ( ~ (all_10_11
% 72.27/11.32 | | | | | | = e1) | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit =
% 72.27/11.32 | | | | | | e1))) & ( ~ (all_10_15 = e1) | (all_10_23 = e0 & ~
% 72.27/11.32 | | | | | | (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_19 =
% 72.27/11.32 | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.32 | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 =
% 72.27/11.32 | | | | | | e1) | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~ (all_10_20 =
% 72.27/11.32 | | | | | | e1) | (all_10_2 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_23 = e1) | ~ (unit = e1)) & ( ~ (all_10_24
% 72.27/11.32 | | | | | | = e1) | (all_10_19 = e0 & ~ (unit = e1)))) | (( ~
% 72.27/11.32 | | | | | | (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit = e0))) & (
% 72.27/11.32 | | | | | | ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_3 = e0) | ~ (unit = e0)) & ( ~ (all_10_4 =
% 72.27/11.32 | | | | | | e0) | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit = e0))) & (
% 72.27/11.32 | | | | | | ~ (all_10_6 = e0) | (all_10_7 = e1 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_7 = e0) | ~ (unit = e0)) & ( ~ (all_10_8 =
% 72.27/11.32 | | | | | | e0) | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_10 = e0) | (all_10_11 = e1 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_11 = e0) | ~ (unit = e0)) & ( ~ (all_10_12
% 72.27/11.32 | | | | | | = e0) | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_15 = e0) | ~ (unit = e0)) & ( ~ (all_10_16
% 72.27/11.32 | | | | | | = e0) | (all_10_24 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | ( ~ (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | & ( ~ (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.27/11.32 | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 = e4 & ~
% 72.27/11.32 | | | | | | (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_7 = e3
% 72.27/11.32 | | | | | | & ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.27/11.32 | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~ (all_10_23 =
% 72.27/11.32 | | | | | | e0) | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | (all_10_24 = e0) | ~ (unit = e0)))
% 72.27/11.32 | | | | | |
% 72.27/11.32 | | | | | | BETA: splitting (143) gives:
% 72.27/11.32 | | | | | |
% 72.27/11.32 | | | | | | Case 1:
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | (144) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_2 = e1) | ~ (unit = e1)) & ( ~ (all_10_3 =
% 72.27/11.32 | | | | | | | e1) | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit = e1))) & (
% 72.27/11.32 | | | | | | | ~ (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_6 = e1) | ~ (unit = e1)) & ( ~ (all_10_7 =
% 72.27/11.32 | | | | | | | e1) | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_10 = e1) | ~ (unit = e1)) & ( ~ (all_10_11
% 72.27/11.32 | | | | | | | = e1) | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_14 = e1) | (all_10_23 = e2 & ~ (unit =
% 72.27/11.32 | | | | | | | e1))) & ( ~ (all_10_15 = e1) | (all_10_23 = e0 & ~
% 72.27/11.32 | | | | | | | (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_19 =
% 72.27/11.32 | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.27/11.32 | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 =
% 72.27/11.32 | | | | | | | e1) | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~ (all_10_20 =
% 72.27/11.32 | | | | | | | e1) | (all_10_2 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_21 = e1) | (all_10_6 = e3 & ~ (unit = e1))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_23 = e1) | ~ (unit = e1)) & ( ~ (all_10_24
% 72.27/11.32 | | | | | | | = e1) | (all_10_19 = e0 & ~ (unit = e1)))
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | ALPHA: (144) implies:
% 72.27/11.32 | | | | | | | (145) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | REF_CLOSE: (23), (83), (107), (145) are inconsistent by sub-proof
% 72.27/11.32 | | | | | | | #77.
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | Case 2:
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | (146) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_3 = e0) | ~ (unit = e0)) & ( ~ (all_10_4 =
% 72.27/11.32 | | | | | | | e0) | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit = e0))) & (
% 72.27/11.32 | | | | | | | ~ (all_10_6 = e0) | (all_10_7 = e1 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_7 = e0) | ~ (unit = e0)) & ( ~ (all_10_8 =
% 72.27/11.32 | | | | | | | e0) | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_10 = e0) | (all_10_11 = e1 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_11 = e0) | ~ (unit = e0)) & ( ~ (all_10_12
% 72.27/11.32 | | | | | | | = e0) | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_15 = e0) | ~ (unit = e0)) & ( ~ (all_10_16
% 72.27/11.32 | | | | | | | = e0) | (all_10_24 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit = e0))) &
% 72.27/11.32 | | | | | | | ( ~ (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit = e0)))
% 72.27/11.32 | | | | | | | & ( ~ (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.27/11.32 | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 = e4 & ~
% 72.27/11.32 | | | | | | | (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_7 = e3
% 72.27/11.32 | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.27/11.32 | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~ (all_10_23 =
% 72.27/11.32 | | | | | | | e0) | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.32 | | | | | | | (all_10_24 = e0) | ~ (unit = e0))
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | ALPHA: (146) implies:
% 72.27/11.32 | | | | | | | (147) ~ (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit = e0))
% 72.27/11.32 | | | | | | | (148) ~ (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit = e0))
% 72.27/11.32 | | | | | | | (149) ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit = e0))
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | BETA: splitting (149) gives:
% 72.27/11.32 | | | | | | |
% 72.27/11.32 | | | | | | | Case 1:
% 72.27/11.32 | | | | | | | |
% 72.27/11.32 | | | | | | | | (150) ~ (all_10_2 = e0)
% 72.27/11.32 | | | | | | | |
% 72.27/11.32 | | | | | | | | REDUCE: (23), (150) imply:
% 72.27/11.32 | | | | | | | | (151) ~ (all_4_15 = e0)
% 72.27/11.32 | | | | | | | |
% 72.27/11.32 | | | | | | | | BETA: splitting (12) gives:
% 72.27/11.32 | | | | | | | |
% 72.27/11.32 | | | | | | | | Case 1:
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | | (152) all_6_3 = e2
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | | REF_CLOSE: (77), (107), (152) are inconsistent by sub-proof
% 72.27/11.32 | | | | | | | | | #30.
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | Case 2:
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | | (153) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e1 | all_6_3
% 72.27/11.32 | | | | | | | | | = e0
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | | BETA: splitting (147) gives:
% 72.27/11.32 | | | | | | | | |
% 72.27/11.32 | | | | | | | | | Case 1:
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | | (154) ~ (all_10_21 = e0)
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | | REDUCE: (30), (154) imply:
% 72.27/11.32 | | | | | | | | | | (155) $false
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | | CLOSE: (155) is inconsistent.
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | Case 2:
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | | (156) all_10_7 = e3 & ~ (unit = e0)
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.32 | | | | | | | | | | ALPHA: (156) implies:
% 72.27/11.32 | | | | | | | | | | (157) all_10_7 = e3
% 72.27/11.32 | | | | | | | | | | (158) ~ (unit = e0)
% 72.27/11.32 | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | COMBINE_EQS: (28), (157) imply:
% 72.27/11.33 | | | | | | | | | | (159) all_4_21 = e3
% 72.27/11.33 | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | COMBINE_EQS: (46), (159) imply:
% 72.27/11.33 | | | | | | | | | | (160) all_8_17 = e3
% 72.27/11.33 | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | BETA: splitting (15) gives:
% 72.27/11.33 | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | (161) all_8_0 = e0
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | REF_CLOSE: (2), (11), (161) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | #94.
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | (162) ~ (all_8_0 = e0)
% 72.27/11.33 | | | | | | | | | | | (163) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 72.27/11.33 | | | | | | | | | | | all_8_16 = e0
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | BETA: splitting (109) gives:
% 72.27/11.33 | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | (164) all_8_2 = e4
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | COMBINE_EQS: (110), (164) imply:
% 72.27/11.33 | | | | | | | | | | | | (165) all_4_1 = e4
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | SIMP: (165) implies:
% 72.27/11.33 | | | | | | | | | | | | (166) all_4_1 = e4
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | REDUCE: (19), (166) imply:
% 72.27/11.33 | | | | | | | | | | | | (167) ~ (all_4_4 = e4)
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | BETA: splitting (148) gives:
% 72.27/11.33 | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | (168) ~ (all_10_16 = e0)
% 72.27/11.33 | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | REDUCE: (62), (168) imply:
% 72.27/11.33 | | | | | | | | | | | | | (169) ~ (all_4_4 = e0)
% 72.27/11.33 | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | BETA: splitting (139) gives:
% 72.27/11.33 | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | (170) all_8_10 = e2
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | REF_CLOSE: (70), (92), (170) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | #45.
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | (171) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 72.27/11.33 | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | (172) all_8_11 = e2
% 72.27/11.33 | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | COMBINE_EQS: (63), (172) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | (173) all_4_17 = e2
% 72.27/11.33 | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | SIMP: (173) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | (174) all_4_17 = e2
% 72.27/11.33 | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 72.27/11.33 | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | (175) all_6_20 = e2
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (53), (175) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | #69.
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | (176) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e1 |
% 72.27/11.33 | | | | | | | | | | | | | | | | all_6_20 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | (177) all_6_20 = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (87), (177) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | #56.
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | (178) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | (179) all_8_0 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (11), (179) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | | #94.
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | (180) all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | all_8_20 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | (181) all_8_2 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (164), (181) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | (182) e4 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | SIMP: (182) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | (183) e4 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | REDUCE: (74), (183) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | (184) $false
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | (185) all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (186) all_8_6 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (79), (186) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (187) all_4_2 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (187) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (188) ~ (all_4_4 = e0)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (187) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (189) ~ (all_4_7 = e0)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | SIMP: (189) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (190) ~ (all_4_7 = e0)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (187) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (191) ~ (e2 = e0)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (192) all_8_1 = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (192) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (193) all_4_5 = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | SIMP: (193) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (194) all_4_5 = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (194) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (195) op(e4, e3) = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (196) all_8_6 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (196) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (197) e1 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | SIMP: (197) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (198) e1 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (198) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (199) $false
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (199) is inconsistent.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (200) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (201) all_8_7 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (201) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (202) all_4_7 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (202) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (203) op(e2, e3) = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (204) all_8_20 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (204) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (205) all_4_4 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (205) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (206) all_4_4 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (206) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (207) op(e0, e4) = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | (208) unit = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (31), (47), (80), (208) are inconsistent by
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | (209) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (210) unit = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (210) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (211) op(e4, e3) = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (210) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (212) op(e4, e2) = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (210) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (213) op(e4, e4) = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (210) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (214) op(e0, e4) = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e3, e0, e4, e0,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (207), (214) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (215) e3 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e1, e2, e2, e4,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (72), (212) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (216) e2 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e4, e3, e3, e4,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (195), (211) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (217) e4 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e2, e4, e4, e4,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (49), (213) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (218) e4 = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (217), (218) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (219) e3 = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (220) e3 = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (215), (220) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (221) e2 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (216), (221) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | #2.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (222) unit = e3 | unit = e1 | unit = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223) unit = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (223) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224) op(e1, e2) = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e0, e2, e2, e1,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (31), (224) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (225) e2 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (225) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226) $false
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (226) is inconsistent.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227) unit = e3 | unit = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228) unit = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (228) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229) op(e2, e3) = e2
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (228) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230) op(e0, e3) = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e2, e0, e3, e0,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (136), (230) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231) e2 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (17) with e1, e2, e3, e2,
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (203), (229) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232) e2 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (231), (232) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233) e1 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (233) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234) $false
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (234) is inconsistent.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235) unit = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (235) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236) $false
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (237) ~ (all_8_20 = e3)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (237) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (238) ~ (all_4_4 = e3)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (65), (169), (178), (238) are inconsistent
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #53.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (239) all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21), (76), (88), (104), (172), (239) are
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (240) ~ (all_8_1 = e4)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (240) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | (241) ~ (all_4_5 = e4)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (242) all_6_3 = e4
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (77), (242) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | #27.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | (243) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (244) all_6_3 = e1
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (125), (244) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | #26.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | (245) all_6_3 = e3 | all_6_3 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (246) all_6_3 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (77), (246) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (247) all_4_15 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (247) implies:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (248) all_4_15 = e3
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (248) imply:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (249) ~ (all_4_5 = e3)
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (42), (118), (127), (241), (249) are
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | (250) all_6_3 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (151), (250) are inconsistent by sub-proof
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | | #19.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | (251) all_8_12 = e0 | all_8_20 = e0
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (119), (120), (169), (251) are inconsistent
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | | by sub-proof #75.
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | | End of split
% 72.27/11.33 | | | | | | | | | | | | | | | |
% 72.27/11.33 | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | (252) all_8_15 = e2 | all_8_23 = e2
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | REF_CLOSE: (66), (95), (100), (134), (252) are inconsistent
% 72.27/11.34 | | | | | | | | | | | | | | | by sub-proof #43.
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | (253) all_10_24 = e4 & ~ (unit = e0)
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | ALPHA: (253) implies:
% 72.27/11.34 | | | | | | | | | | | | | (254) all_10_24 = e4
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | COMBINE_EQS: (121), (254) imply:
% 72.27/11.34 | | | | | | | | | | | | | (255) e4 = e1
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | REDUCE: (6), (255) imply:
% 72.27/11.34 | | | | | | | | | | | | | (256) $false
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | (257) ~ (all_8_2 = e4)
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | REDUCE: (110), (257) imply:
% 72.27/11.34 | | | | | | | | | | | | (258) ~ (all_4_1 = e4)
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | BETA: splitting (3) gives:
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | (259) all_8_0 = e4
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | COMBINE_EQS: (11), (259) imply:
% 72.27/11.34 | | | | | | | | | | | | | (260) e4 = e2
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | REDUCE: (100), (260) imply:
% 72.27/11.34 | | | | | | | | | | | | | (261) $false
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | CLOSE: (261) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | (262) all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 |
% 72.27/11.34 | | | | | | | | | | | | | all_8_20 = e4
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | BETA: splitting (262) gives:
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | (263) all_8_2 = e4
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | COMBINE_EQS: (110), (263) imply:
% 72.27/11.34 | | | | | | | | | | | | | | (264) all_4_1 = e4
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | SIMP: (264) implies:
% 72.27/11.34 | | | | | | | | | | | | | | (265) all_4_1 = e4
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | REDUCE: (258), (265) imply:
% 72.27/11.34 | | | | | | | | | | | | | | (266) $false
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | CLOSE: (266) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | (267) all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | BETA: splitting (267) gives:
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | (268) all_8_6 = e4
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | COMBINE_EQS: (79), (268) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | (269) all_4_2 = e4
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | REDUCE: (55), (269) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | (270) ~ (all_4_22 = e4)
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | SIMP: (270) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | (271) ~ (all_4_22 = e4)
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | BETA: splitting (16) gives:
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | (272) all_8_16 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | (273) all_8_1 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (98), (273) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | (274) all_4_5 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | SIMP: (274) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | | | (275) all_4_5 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | REDUCE: (1), (275) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | (276) $false
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | CLOSE: (276) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | (277) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | (278) all_8_4 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (96), (278) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | (279) e1 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | SIMP: (279) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | (280) e1 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | REDUCE: (80), (280) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | (281) $false
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | (282) all_8_9 = e0 | all_8_16 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (283) all_8_9 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (67), (283) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (284) all_4_15 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | REDUCE: (151), (284) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (285) $false
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | CLOSE: (285) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (286) all_8_16 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (286) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (287) e4 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | SIMP: (287) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (288) e4 = e0
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | REDUCE: (74), (288) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | (289) $false
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | | CLOSE: (289) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | (290) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 72.27/11.34 | | | | | | | | | | | | | | | | all_8_24 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | (291) all_8_17 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (291) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | (292) e4 = e3
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | REDUCE: (52), (292) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | | (293) $false
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | (294) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (34), (100), (104), (115), (271), (294) are
% 72.27/11.34 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 72.27/11.34 | | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | (295) all_8_12 = e4 | all_8_20 = e4
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | (296) all_8_12 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (120), (296) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | (297) all_4_3 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | SIMP: (297) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | | (298) all_4_3 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | REDUCE: (37), (298) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | (299) $false
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | CLOSE: (299) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | (300) all_8_20 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (41), (300) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | (301) all_4_4 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | SIMP: (301) implies:
% 72.27/11.34 | | | | | | | | | | | | | | | | (302) all_4_4 = e4
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | REDUCE: (87), (302) imply:
% 72.27/11.34 | | | | | | | | | | | | | | | | (303) $false
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | | CLOSE: (303) is inconsistent.
% 72.27/11.34 | | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | | |
% 72.27/11.34 | | | | | | | | | End of split
% 72.27/11.34 | | | | | | | | |
% 72.27/11.34 | | | | | | | | End of split
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | Case 2:
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | (304) all_10_3 = e1 & ~ (unit = e0)
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | REF_CLOSE: (27), (73), (304) are inconsistent by sub-proof #58.
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | End of split
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | End of split
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | End of split
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | End of split
% 72.27/11.34 | | | |
% 72.27/11.34 | | | End of split
% 72.27/11.34 | | |
% 72.27/11.34 | | Case 2:
% 72.27/11.34 | | |
% 72.27/11.34 | | | (305) ~ (all_6_21 = e2)
% 72.27/11.34 | | |
% 72.27/11.34 | | | REDUCE: (85), (305) imply:
% 72.27/11.34 | | | (306) ~ (all_4_9 = e2)
% 72.27/11.34 | | |
% 72.27/11.34 | | | BETA: splitting (36) gives:
% 72.27/11.34 | | |
% 72.27/11.34 | | | Case 1:
% 72.27/11.34 | | | |
% 72.27/11.34 | | | | (307) all_8_20 = e2
% 72.27/11.34 | | | |
% 72.27/11.34 | | | | REF_CLOSE: (41), (53), (307) are inconsistent by sub-proof #116.
% 72.27/11.34 | | | |
% 72.27/11.34 | | | Case 2:
% 72.27/11.34 | | | |
% 72.27/11.34 | | | | (308) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 72.27/11.34 | | | |
% 72.27/11.34 | | | | BETA: splitting (308) gives:
% 72.27/11.34 | | | |
% 72.27/11.34 | | | | Case 1:
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | | (309) all_8_21 = e2
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | | REF_CLOSE: (111), (306), (309) are inconsistent by sub-proof #115.
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | Case 2:
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | | (310) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | | BETA: splitting (310) gives:
% 72.27/11.34 | | | | |
% 72.27/11.34 | | | | | Case 1:
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | (311) all_8_22 = e2
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | COMBINE_EQS: (25), (311) imply:
% 72.27/11.34 | | | | | | (312) e4 = e2
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | SIMP: (312) implies:
% 72.27/11.34 | | | | | | (313) e4 = e2
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | REDUCE: (100), (313) imply:
% 72.27/11.34 | | | | | | (314) $false
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | CLOSE: (314) is inconsistent.
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | Case 2:
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | (315) all_8_23 = e2 | all_8_24 = e2
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | BETA: splitting (315) gives:
% 72.27/11.34 | | | | | |
% 72.27/11.34 | | | | | | Case 1:
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | (316) all_8_23 = e2
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | COMBINE_EQS: (95), (316) imply:
% 72.27/11.34 | | | | | | | (317) all_4_19 = e2
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | SIMP: (317) implies:
% 72.27/11.34 | | | | | | | (318) all_4_19 = e2
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | COMBINE_EQS: (45), (318) imply:
% 72.27/11.34 | | | | | | | (319) all_10_19 = e2
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | BETA: splitting (13) gives:
% 72.27/11.34 | | | | | | |
% 72.27/11.34 | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | (320) all_8_20 = e0
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | COMBINE_EQS: (41), (320) imply:
% 72.27/11.34 | | | | | | | | (321) all_4_4 = e0
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | SIMP: (321) implies:
% 72.27/11.34 | | | | | | | | (322) all_4_4 = e0
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | REDUCE: (48), (322) imply:
% 72.27/11.34 | | | | | | | | (323) ~ (all_4_9 = e0)
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | REDUCE: (87), (322) imply:
% 72.27/11.34 | | | | | | | | (324) ~ (e4 = e0)
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | REDUCE: (53), (322) imply:
% 72.27/11.34 | | | | | | | | (325) ~ (e2 = e0)
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | REDUCE: (65), (322) imply:
% 72.27/11.34 | | | | | | | | (326) ~ (e1 = e0)
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | BETA: splitting (90) gives:
% 72.27/11.34 | | | | | | | |
% 72.27/11.34 | | | | | | | | Case 1:
% 72.27/11.34 | | | | | | | | |
% 72.27/11.34 | | | | | | | | | (327) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 72.27/11.34 | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 = e2
% 72.27/11.34 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.27/11.34 | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.34 | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 72.27/11.34 | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit = e4))
% 72.27/11.34 | | | | | | | | | & ( ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 72.27/11.34 | | | | | | | | | e4))) & ( ~ (all_10_6 = e4) | (all_10_4 = e1
% 72.27/11.34 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.27/11.34 | | | | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8
% 72.27/11.34 | | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_9 = e4) |
% 72.27/11.34 | | | | | | | | | (all_10_8 = e3 & ~ (unit = e4))) & ( ~
% 72.27/11.34 | | | | | | | | | (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit =
% 72.27/11.34 | | | | | | | | | e4))) & ( ~ (all_10_11 = e4) | (all_10_8 = e0
% 72.27/11.34 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_12 = e4) | ~
% 72.27/11.34 | | | | | | | | | (unit = e4)) & ( ~ (all_10_13 = e4) | (all_10_12
% 72.27/11.34 | | | | | | | | | = e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 72.27/11.34 | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.34 | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 72.27/11.34 | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 72.27/11.34 | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3 &
% 72.27/11.34 | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.27/11.35 | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 72.27/11.35 | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 72.27/11.35 | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.27/11.35 | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 72.27/11.35 | | | | | | | | | e0 & ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.27/11.35 | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_1 = e3) | (all_10_0
% 72.27/11.35 | | | | | | | | | = e2 & ~ (unit = e3))) & ( ~ (all_10_2 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_0 = e1 & ~ (unit = e3))) & ( ~ (all_10_3
% 72.27/11.35 | | | | | | | | | = e3) | (all_10_0 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))) & ( ~ (all_10_5 = e3) | (all_10_21 = e2
% 72.27/11.35 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4
% 72.27/11.35 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~
% 72.27/11.35 | | | | | | | | | (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_9 =
% 72.27/11.35 | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | ~ (unit =
% 72.27/11.35 | | | | | | | | | e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2 &
% 72.27/11.35 | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_13 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit =
% 72.27/11.35 | | | | | | | | | e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2 &
% 72.27/11.35 | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))) & ( ~ (all_10_21 = e3) | ~ (unit =
% 72.27/11.35 | | | | | | | | | e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 72.27/11.35 | | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.27/11.35 | | | | | | | | | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 72.27/11.35 | | | | | | | | | e3))))
% 72.27/11.35 | | | | | | | | |
% 72.27/11.35 | | | | | | | | | BETA: splitting (327) gives:
% 72.27/11.35 | | | | | | | | |
% 72.27/11.35 | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | (328) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_1 = e4) | (all_10_20 = e2
% 72.27/11.35 | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.27/11.35 | | | | | | | | | | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_4 = e4) | ~ (unit = e4))
% 72.27/11.35 | | | | | | | | | | & ( ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_6 = e4) | (all_10_4 = e1
% 72.27/11.35 | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.27/11.35 | | | | | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8
% 72.27/11.35 | | | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_9 = e4) |
% 72.27/11.35 | | | | | | | | | | (all_10_8 = e3 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_11 = e4) | (all_10_8 = e0
% 72.27/11.35 | | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_12 = e4) | ~
% 72.27/11.35 | | | | | | | | | | (unit = e4)) & ( ~ (all_10_13 = e4) | (all_10_12
% 72.27/11.35 | | | | | | | | | | = e3 & ~ (unit = e4))) & ( ~ (all_10_14 = e4)
% 72.27/11.35 | | | | | | | | | | | (all_10_12 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4)) & ( ~ (all_10_17 = e4) | (all_10_16 = e3 &
% 72.27/11.35 | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.27/11.35 | | | | | | | | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_20 = e4) | ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 &
% 72.27/11.35 | | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.27/11.35 | | | | | | | | | | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 =
% 72.27/11.35 | | | | | | | | | | e0 & ~ (unit = e4)))
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | REF_CLOSE: (53), (62), (117), (328) are inconsistent by
% 72.27/11.35 | | | | | | | | | | sub-proof #63.
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | (329) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_1 = e3) | (all_10_0 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 72.27/11.35 | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_0 = e0 & ~ (unit = e3))) & ( ~ (all_10_4
% 72.27/11.35 | | | | | | | | | | = e3) | (all_10_21 = e4 & ~ (unit = e3))) & (
% 72.27/11.35 | | | | | | | | | | ~ (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_6 = e3) | (all_10_21 = e1
% 72.27/11.35 | | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_7 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_21 = e0 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_9 = e3) | ~ (unit = e3))
% 72.27/11.35 | | | | | | | | | | & ( ~ (all_10_10 = e3) | (all_10_9 = e1 & ~ (unit
% 72.27/11.35 | | | | | | | | | | = e3))) & ( ~ (all_10_11 = e3) | (all_10_9 =
% 72.27/11.35 | | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_12 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_13 = e4 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_13 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_14 = e3) | (all_10_13 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_15 = e3) | (all_10_13 =
% 72.27/11.35 | | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_17 = e4 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_17 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_19 = e3) | (all_10_17 =
% 72.27/11.35 | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_0 = e4 & ~ (unit = e3))) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~
% 72.27/11.35 | | | | | | | | | | (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))) & ( ~ (all_10_23 = e3) | (all_10_13 =
% 72.27/11.35 | | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 72.27/11.35 | | | | | | | | | | (all_10_17 = e0 & ~ (unit = e3)))
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | ALPHA: (329) implies:
% 72.27/11.35 | | | | | | | | | | (330) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))
% 72.27/11.35 | | | | | | | | | | (331) ~ (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit =
% 72.27/11.35 | | | | | | | | | | e3))
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | BETA: splitting (32) gives:
% 72.27/11.35 | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | (332) all_8_6 = e2
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | COMBINE_EQS: (79), (332) imply:
% 72.27/11.35 | | | | | | | | | | | (333) all_4_2 = e2
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | REDUCE: (123), (333) imply:
% 72.27/11.35 | | | | | | | | | | | (334) $false
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | CLOSE: (334) is inconsistent.
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | (335) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 72.27/11.35 | | | | | | | | | | | all_8_18 = e2
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | BETA: splitting (335) gives:
% 72.27/11.35 | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | (336) all_8_7 = e2
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | COMBINE_EQS: (33), (336) imply:
% 72.27/11.35 | | | | | | | | | | | | (337) all_4_7 = e2
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | REDUCE: (7), (337) imply:
% 72.27/11.35 | | | | | | | | | | | | (338) ~ (all_4_9 = e2)
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | REDUCE: (9), (337) imply:
% 72.27/11.35 | | | | | | | | | | | | (339) ~ (e3 = e2)
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | SIMP: (339) implies:
% 72.27/11.35 | | | | | | | | | | | | (340) ~ (e3 = e2)
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | BETA: splitting (103) gives:
% 72.27/11.35 | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | (341) all_8_20 = e3
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | COMBINE_EQS: (320), (341) imply:
% 72.27/11.35 | | | | | | | | | | | | | (342) e3 = e0
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | REDUCE: (93), (342) imply:
% 72.27/11.35 | | | | | | | | | | | | | (343) $false
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | (344) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 72.27/11.35 | | | | | | | | | | | | | all_8_24 = e3
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | BETA: splitting (10) gives:
% 72.27/11.35 | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | (345) all_8_1 = e1
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | COMBINE_EQS: (98), (345) imply:
% 72.27/11.35 | | | | | | | | | | | | | | (346) all_4_5 = e1
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | SIMP: (346) implies:
% 72.27/11.35 | | | | | | | | | | | | | | (347) all_4_5 = e1
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | REDUCE: (118), (347) imply:
% 72.27/11.35 | | | | | | | | | | | | | | (348) $false
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | CLOSE: (348) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | (349) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 72.27/11.35 | | | | | | | | | | | | | | all_8_21 = e1
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 72.27/11.35 | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | (350) all_8_21 = e3
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | COMBINE_EQS: (111), (350) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | (351) all_4_9 = e3
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | SIMP: (351) implies:
% 72.27/11.35 | | | | | | | | | | | | | | | (352) all_4_9 = e3
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | REDUCE: (59), (352) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | (353) ~ (all_4_8 = e3)
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | REDUCE: (106), (352) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | (354) ~ (e4 = e3)
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | BETA: splitting (122) gives:
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | (355) all_8_12 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (120), (355) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | (356) all_4_3 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | SIMP: (356) implies:
% 72.27/11.35 | | | | | | | | | | | | | | | | (357) all_4_3 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | COMBINE_EQS: (26), (357) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | (358) all_10_12 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | (359) all_8_12 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (355), (359) are inconsistent by sub-proof
% 72.27/11.35 | | | | | | | | | | | | | | | | | #11.
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | (360) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 72.27/11.35 | | | | | | | | | | | | | | | | | all_8_19 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | BETA: splitting (360) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (361) all_8_13 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (361) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (362) all_4_8 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | SIMP: (362) implies:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (363) all_4_8 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (363) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (364) all_10_13 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (331), (358), (364) are inconsistent by
% 72.27/11.35 | | | | | | | | | | | | | | | | | | sub-proof #28.
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (365) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (34), (57), (66), (80), (365) are
% 72.27/11.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #51.
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | (366) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 72.27/11.35 | | | | | | | | | | | | | | | | all_8_19 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | BETA: splitting (349) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | (367) all_8_3 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (367) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | (368) e1 = e0
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | REDUCE: (80), (368) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | (369) $false
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | (370) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (371) all_8_7 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (336), (371) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (372) e2 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | REDUCE: (8), (372) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (373) $false
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | (374) all_8_13 = e1 | all_8_21 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (375) all_8_13 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (375) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (376) all_4_8 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | SIMP: (376) implies:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (377) all_4_8 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | REDUCE: (353), (377) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (378) ~ (e3 = e1)
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (366) gives:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | (379) all_8_13 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (379) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | (380) e3 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (380) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | (381) $false
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | CLOSE: (381) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | (382) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (34), (52), (57), (66), (93), (340), (382) are
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (383) all_8_21 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (383) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (384) e3 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | SIMP: (384) implies:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (385) e3 = e1
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (385) imply:
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | (386) $false
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | | CLOSE: (386) is inconsistent.
% 72.27/11.35 | | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | End of split
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | Case 2:
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | (387) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 72.27/11.35 | | | | | | | | | | | | | | |
% 72.27/11.35 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.35 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | (388) all_8_22 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (25), (388) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | (389) e4 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | SIMP: (389) implies:
% 72.27/11.36 | | | | | | | | | | | | | | | | (390) e4 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | REDUCE: (52), (390) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | (391) $false
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | CLOSE: (391) is inconsistent.
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | (392) all_8_23 = e3 | all_8_24 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | BETA: splitting (392) gives:
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | Case 1:
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | (393) all_8_23 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (393) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | | (394) e3 = e2
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | REDUCE: (340), (394) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | | (395) $false
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | CLOSE: (395) is inconsistent.
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | (396) all_8_24 = e3
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (115), (396) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | | (397) e3 = e1
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | REDUCE: (76), (397) imply:
% 72.27/11.36 | | | | | | | | | | | | | | | | | (398) $false
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | | CLOSE: (398) is inconsistent.
% 72.27/11.36 | | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | (399) ~ (all_8_7 = e2)
% 72.27/11.36 | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | REDUCE: (33), (399) imply:
% 72.27/11.36 | | | | | | | | | | | | (400) ~ (all_4_7 = e2)
% 72.27/11.36 | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | | REF_CLOSE: (81), (112), (330), (400) are inconsistent by
% 72.27/11.36 | | | | | | | | | | | | sub-proof #111.
% 72.27/11.36 | | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | |
% 72.27/11.36 | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | |
% 72.27/11.36 | | | | | | | | | (401) (( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit = e2))
% 72.27/11.36 | | | | | | | | | & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0
% 72.27/11.36 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_5 = e4 & ~ (unit = e2))) & ( ~ (all_10_5
% 72.27/11.36 | | | | | | | | | = e2) | ~ (unit = e2)) & ( ~ (all_10_6 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_5 = e1 & ~ (unit = e2))) & ( ~ (all_10_7
% 72.27/11.36 | | | | | | | | | = e2) | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 = e3
% 72.27/11.36 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 72.27/11.36 | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 72.27/11.36 | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 = e4
% 72.27/11.36 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.27/11.36 | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 72.27/11.36 | | | | | | | | | e0 & ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_2 = e3 & ~ (unit = e1))) & ( ~ (all_10_1
% 72.27/11.36 | | | | | | | | | = e1) | (all_10_2 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_2 = e1) | ~ (unit = e1)) & ( ~ (all_10_3
% 72.27/11.36 | | | | | | | | | = e1) | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 = e2
% 72.27/11.36 | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_6 = e1) | ~
% 72.27/11.36 | | | | | | | | | (unit = e1)) & ( ~ (all_10_7 = e1) | (all_10_6 =
% 72.27/11.36 | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 72.27/11.36 | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0 &
% 72.27/11.36 | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 72.27/11.36 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 72.27/11.36 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 = e3
% 72.27/11.36 | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.27/11.36 | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e1)))) | (( ~ (all_10_0 = e0) | (all_10_3 =
% 72.27/11.36 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_3 = e2 & ~ (unit = e0))) & ( ~ (all_10_2
% 72.27/11.36 | | | | | | | | | = e0) | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~ (all_10_4
% 72.27/11.36 | | | | | | | | | = e0) | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 = e1
% 72.27/11.36 | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | ~
% 72.27/11.36 | | | | | | | | | (unit = e0)) & ( ~ (all_10_8 = e0) | (all_10_11 =
% 72.27/11.36 | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_9 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_11 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_10 = e0) | (all_10_11 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e0))) & ( ~ (all_10_11 = e0) | ~ (unit =
% 72.27/11.36 | | | | | | | | | e0)) & ( ~ (all_10_12 = e0) | (all_10_15 = e4 &
% 72.27/11.36 | | | | | | | | | ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_15 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e0))) & ( ~ (all_10_15 = e0) | ~ (unit =
% 72.27/11.36 | | | | | | | | | e0)) & ( ~ (all_10_16 = e0) | (all_10_24 = e4 &
% 72.27/11.36 | | | | | | | | | ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_24 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_18 = e0) | (all_10_24 = e2 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e0))) & ( ~ (all_10_19 = e0) | (all_10_24 =
% 72.27/11.36 | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_20 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_3 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_21 = e0) | (all_10_7 = e3 & ~ (unit =
% 72.27/11.36 | | | | | | | | | e0))) & ( ~ (all_10_22 = e0) | (all_10_11 =
% 72.27/11.36 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 72.27/11.36 | | | | | | | | | (all_10_15 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.36 | | | | | | | | | (all_10_24 = e0) | ~ (unit = e0)))
% 72.27/11.36 | | | | | | | | |
% 72.27/11.36 | | | | | | | | | BETA: splitting (401) gives:
% 72.27/11.36 | | | | | | | | |
% 72.27/11.36 | | | | | | | | | Case 1:
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | (402) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_1 = e2) | ~ (unit = e2))
% 72.27/11.36 | | | | | | | | | | & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0
% 72.27/11.36 | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_5 = e4 & ~ (unit = e2))) & ( ~ (all_10_5
% 72.27/11.36 | | | | | | | | | | = e2) | ~ (unit = e2)) & ( ~ (all_10_6 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_5 = e1 & ~ (unit = e2))) & ( ~ (all_10_7
% 72.27/11.36 | | | | | | | | | | = e2) | (all_10_5 = e0 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_9 = e2) | (all_10_22 = e3
% 72.27/11.36 | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 72.27/11.36 | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_14 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_14 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_18 =
% 72.27/11.36 | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_17 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_18 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_18 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_20 = e2) | (all_10_1 = e4
% 72.27/11.36 | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.27/11.36 | | | | | | | | | | (all_10_5 = e3 & ~ (unit = e2))) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_22 = e2) | ~ (unit = e2)) & ( ~
% 72.27/11.36 | | | | | | | | | | (all_10_23 = e2) | (all_10_14 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))) & ( ~ (all_10_24 = e2) | (all_10_18 =
% 72.27/11.36 | | | | | | | | | | e0 & ~ (unit = e2)))
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | ALPHA: (402) implies:
% 72.27/11.36 | | | | | | | | | | (403) ~ (all_10_19 = e2) | (all_10_18 = e1 & ~ (unit =
% 72.27/11.36 | | | | | | | | | | e2))
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | BETA: splitting (403) gives:
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | Case 1:
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | (404) ~ (all_10_19 = e2)
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | REDUCE: (319), (404) imply:
% 72.27/11.36 | | | | | | | | | | | (405) $false
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | CLOSE: (405) is inconsistent.
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | (406) all_10_18 = e1 & ~ (unit = e2)
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | ALPHA: (406) implies:
% 72.27/11.36 | | | | | | | | | | | (407) all_10_18 = e1
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | COMBINE_EQS: (117), (407) imply:
% 72.27/11.36 | | | | | | | | | | | (408) e4 = e1
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | SIMP: (408) implies:
% 72.27/11.36 | | | | | | | | | | | (409) e4 = e1
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | REDUCE: (6), (409) imply:
% 72.27/11.36 | | | | | | | | | | | (410) $false
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | | CLOSE: (410) is inconsistent.
% 72.27/11.36 | | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | | End of split
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.36 | | | | | | | | | Case 2:
% 72.27/11.36 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | (411) (( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 72.27/11.37 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.27/11.37 | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 72.27/11.37 | | | | | | | | | | (all_10_2 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_4 = e1) | (all_10_6 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_5 = e1) | (all_10_6 =
% 72.27/11.37 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.27/11.37 | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_7 = e1) |
% 72.27/11.37 | | | | | | | | | | (all_10_6 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_8 = e1) | (all_10_10 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_9 = e1) | (all_10_10 =
% 72.27/11.37 | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 72.27/11.37 | | | | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_11 = e1) |
% 72.27/11.37 | | | | | | | | | | (all_10_10 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_12 = e1) | (all_10_23 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_23 =
% 72.27/11.37 | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 72.27/11.37 | | | | | | | | | | | (all_10_23 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_15 = e1) | (all_10_23 = e0 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_16 = e1) | (all_10_19 =
% 72.27/11.37 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_17 = e1)
% 72.27/11.37 | | | | | | | | | | | (all_10_19 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_18 = e1) | (all_10_19 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_19 = e1) | ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1)) & ( ~ (all_10_20 = e1) | (all_10_2 = e4
% 72.27/11.37 | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.27/11.37 | | | | | | | | | | (all_10_6 = e3 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_22 = e1) | (all_10_10 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1))) & ( ~ (all_10_23 = e1) | ~ (unit =
% 72.27/11.37 | | | | | | | | | | e1)) & ( ~ (all_10_24 = e1) | (all_10_19 = e0
% 72.27/11.37 | | | | | | | | | | & ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.27/11.37 | | | | | | | | | | (all_10_3 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_1 = e0) | (all_10_3 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_2 = e0) | (all_10_3 =
% 72.27/11.37 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.27/11.37 | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_4 = e0) |
% 72.27/11.37 | | | | | | | | | | (all_10_7 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_5 = e0) | (all_10_7 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_6 = e0) | (all_10_7 =
% 72.27/11.37 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.27/11.37 | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_8 = e0) |
% 72.27/11.37 | | | | | | | | | | (all_10_11 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_9 = e0) | (all_10_11 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_11 =
% 72.27/11.37 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 72.27/11.37 | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_12 = e0) |
% 72.27/11.37 | | | | | | | | | | (all_10_15 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_13 = e0) | (all_10_15 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_14 = e0) | (all_10_15 =
% 72.27/11.37 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_15 = e0)
% 72.27/11.37 | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_16 = e0) |
% 72.27/11.37 | | | | | | | | | | (all_10_24 = e4 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_17 = e0) | (all_10_24 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_18 = e0) | (all_10_24 =
% 72.27/11.37 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_19 = e0)
% 72.27/11.37 | | | | | | | | | | | (all_10_24 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_20 = e0) | (all_10_3 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_7 =
% 72.27/11.37 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 72.27/11.37 | | | | | | | | | | | (all_10_11 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | (all_10_23 = e0) | (all_10_15 = e1 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | ~ (unit =
% 72.27/11.37 | | | | | | | | | | e0)))
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | BETA: splitting (411) gives:
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | (412) ( ~ (all_10_0 = e1) | (all_10_2 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 72.27/11.37 | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_2 = e1) | ~
% 72.27/11.37 | | | | | | | | | | | (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 72.27/11.37 | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_6 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_5 = e1) | (all_10_6 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_6 = e1) | ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1)) & ( ~ (all_10_7 = e1) | (all_10_6 = e0 &
% 72.27/11.37 | | | | | | | | | | | ~ (unit = e1))) & ( ~ (all_10_8 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_10 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_9 = e1) | (all_10_10 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1)) & ( ~ (all_10_11 = e1) | (all_10_10 = e0
% 72.27/11.37 | | | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_23 = e4 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_13 = e1) | (all_10_23 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_14 = e1) | (all_10_23 =
% 72.27/11.37 | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_23 = e0 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_16 = e1) | (all_10_19 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 72.27/11.37 | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_19 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_19 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_20 = e1) | (all_10_2 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_6 =
% 72.27/11.37 | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.27/11.37 | | | | | | | | | | | (all_10_10 = e2 & ~ (unit = e1))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_23 = e1) | ~ (unit = e1)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_24 = e1) | (all_10_19 = e0 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1)))
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | ALPHA: (412) implies:
% 72.27/11.37 | | | | | | | | | | | (413) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e1))
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | REF_CLOSE: (23), (83), (107), (413) are inconsistent by
% 72.27/11.37 | | | | | | | | | | | sub-proof #77.
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | (414) ( ~ (all_10_0 = e0) | (all_10_3 = e3 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 72.27/11.37 | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_3 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_3 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_4 = e0) | (all_10_7 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_5 = e0) | (all_10_7 = e2
% 72.27/11.37 | | | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_7 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_8 = e0) | (all_10_11 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_9 = e0) | (all_10_11 =
% 72.27/11.37 | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_11 = e1 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_11 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_12 = e0) | (all_10_15 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_15 =
% 72.27/11.37 | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_15 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_15 = e0) | ~ (unit = e0)) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_16 = e0) | (all_10_24 = e4 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_17 = e0) | (all_10_24 =
% 72.27/11.37 | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_19 = e0) | (all_10_24 = e1 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_20 = e0) | (all_10_3 =
% 72.27/11.37 | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.27/11.37 | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e0))) & ( ~
% 72.27/11.37 | | | | | | | | | | | (all_10_22 = e0) | (all_10_11 = e2 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))) & ( ~ (all_10_23 = e0) | (all_10_15 =
% 72.27/11.37 | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 72.27/11.37 | | | | | | | | | | | ~ (unit = e0))
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | ALPHA: (414) implies:
% 72.27/11.37 | | | | | | | | | | | (415) ~ (all_10_10 = e0) | (all_10_11 = e1 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))
% 72.27/11.37 | | | | | | | | | | | (416) ~ (all_10_2 = e0) | (all_10_3 = e1 & ~ (unit =
% 72.27/11.37 | | | | | | | | | | | e0))
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | BETA: splitting (416) gives:
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | (417) ~ (all_10_2 = e0)
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | REDUCE: (23), (417) imply:
% 72.27/11.37 | | | | | | | | | | | | (418) ~ (all_4_15 = e0)
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | BETA: splitting (78) gives:
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | (419) all_8_9 = e0
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | REF_CLOSE: (67), (418), (419) are inconsistent by sub-proof
% 72.27/11.37 | | | | | | | | | | | | | #60.
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | (420) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 72.27/11.37 | | | | | | | | | | | | | all_8_23 = e0
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | BETA: splitting (420) gives:
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | (421) all_8_10 = e0
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | REF_CLOSE: (35), (92), (421) are inconsistent by sub-proof
% 72.27/11.37 | | | | | | | | | | | | | | #76.
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | (422) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | (423) all_8_11 = e0
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | COMBINE_EQS: (63), (423) imply:
% 72.27/11.37 | | | | | | | | | | | | | | | (424) all_4_17 = e0
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | SIMP: (424) implies:
% 72.27/11.37 | | | | | | | | | | | | | | | (425) all_4_17 = e0
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | COMBINE_EQS: (86), (425) imply:
% 72.27/11.37 | | | | | | | | | | | | | | | (426) all_10_10 = e0
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | (427) ~ (all_10_10 = e0)
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | REDUCE: (426), (427) imply:
% 72.27/11.37 | | | | | | | | | | | | | | | | (428) $false
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | CLOSE: (428) is inconsistent.
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | (429) all_10_11 = e1 & ~ (unit = e0)
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 72.27/11.37 | | | | | | | | | | | | | | | | (430) all_10_11 = e1
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (430) imply:
% 72.27/11.37 | | | | | | | | | | | | | | | | (431) all_4_22 = e1
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | SIMP: (431) implies:
% 72.27/11.37 | | | | | | | | | | | | | | | | (432) all_4_22 = e1
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | REDUCE: (88), (432) imply:
% 72.27/11.37 | | | | | | | | | | | | | | | | (433) $false
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | | CLOSE: (433) is inconsistent.
% 72.27/11.37 | | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | (434) all_8_15 = e0 | all_8_23 = e0
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | | REF_CLOSE: (2), (66), (74), (316), (434) are inconsistent by
% 72.27/11.37 | | | | | | | | | | | | | | | sub-proof #101.
% 72.27/11.37 | | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | (435) all_10_3 = e1 & ~ (unit = e0)
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | | REF_CLOSE: (27), (73), (435) are inconsistent by sub-proof
% 72.27/11.37 | | | | | | | | | | | | #58.
% 72.27/11.37 | | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | End of split
% 72.27/11.37 | | | | | | | |
% 72.27/11.37 | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | |
% 72.27/11.37 | | | | | | | | (436) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 72.27/11.37 | | | | | | | |
% 72.27/11.37 | | | | | | | | BETA: splitting (436) gives:
% 72.27/11.37 | | | | | | | |
% 72.27/11.37 | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | | (437) all_8_21 = e0
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | | REF_CLOSE: (68), (111), (437) are inconsistent by sub-proof
% 72.27/11.37 | | | | | | | | | #74.
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | | (438) all_8_22 = e0 | all_8_23 = e0
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | | BETA: splitting (438) gives:
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | | Case 1:
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | (439) all_8_22 = e0
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | COMBINE_EQS: (25), (439) imply:
% 72.27/11.37 | | | | | | | | | | (440) e4 = e0
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | SIMP: (440) implies:
% 72.27/11.37 | | | | | | | | | | (441) e4 = e0
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | REDUCE: (74), (441) imply:
% 72.27/11.37 | | | | | | | | | | (442) $false
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | CLOSE: (442) is inconsistent.
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | Case 2:
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | (443) all_8_23 = e0
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | | REF_CLOSE: (2), (316), (443) are inconsistent by sub-proof
% 72.27/11.37 | | | | | | | | | | #102.
% 72.27/11.37 | | | | | | | | | |
% 72.27/11.37 | | | | | | | | | End of split
% 72.27/11.37 | | | | | | | | |
% 72.27/11.37 | | | | | | | | End of split
% 72.27/11.37 | | | | | | | |
% 72.27/11.37 | | | | | | | End of split
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | Case 2:
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | | (444) all_8_24 = e2
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | | COMBINE_EQS: (115), (444) imply:
% 72.27/11.37 | | | | | | | (445) e2 = e1
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | | REDUCE: (8), (445) imply:
% 72.27/11.37 | | | | | | | (446) $false
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | | CLOSE: (446) is inconsistent.
% 72.27/11.37 | | | | | | |
% 72.27/11.37 | | | | | | End of split
% 72.27/11.37 | | | | | |
% 72.27/11.37 | | | | | End of split
% 72.27/11.37 | | | | |
% 72.27/11.37 | | | | End of split
% 72.27/11.37 | | | |
% 72.27/11.37 | | | End of split
% 72.27/11.37 | | |
% 72.27/11.37 | | End of split
% 72.27/11.37 | |
% 72.27/11.37 | End of split
% 72.27/11.37 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #2 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) e2 = e0
% 72.27/11.38 (2) e2 = e1
% 72.27/11.38 (3) ~ (e1 = e0)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (1) implies:
% 72.27/11.38 | (4) e2 = e0
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (2), (4) imply:
% 72.27/11.38 | (5) e1 = e0
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #3 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) ~ (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit = e4))
% 72.27/11.38 (2) all_10_7 = e4
% 72.27/11.38 (3) all_10_4 = e3
% 72.27/11.38 (4) ~ (e3 = e0)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | BETA: splitting (1) gives:
% 72.27/11.38 |
% 72.27/11.38 | Case 1:
% 72.27/11.38 | |
% 72.27/11.38 | | (5) ~ (all_10_7 = e4)
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (2), (5) imply:
% 72.27/11.38 | | (6) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (6) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | Case 2:
% 72.27/11.38 | |
% 72.27/11.38 | | (7) all_10_4 = e0 & ~ (unit = e4)
% 72.27/11.38 | |
% 72.27/11.38 | | ALPHA: (7) implies:
% 72.27/11.38 | | (8) all_10_4 = e0
% 72.27/11.38 | |
% 72.27/11.38 | | COMBINE_EQS: (3), (8) imply:
% 72.27/11.38 | | (9) e3 = e0
% 72.27/11.38 | |
% 72.27/11.38 | | SIMP: (9) implies:
% 72.27/11.38 | | (10) e3 = e0
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (4), (10) imply:
% 72.27/11.38 | | (11) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (11) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | End of split
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #4 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) all_8_16 = all_4_20
% 72.27/11.38 (2) all_8_16 = e2
% 72.27/11.38 (3) ~ (all_4_20 = e2)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.38 | (4) all_4_20 = e2
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (4) implies:
% 72.27/11.38 | (5) all_4_20 = e2
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #5 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) ~ (e2 = e1)
% 72.27/11.38 (2) all_8_8 = e3
% 72.27/11.38 (3) all_8_11 = e2
% 72.27/11.38 (4) ~ (e3 = e1)
% 72.27/11.38 (5) ~ (all_4_22 = e1)
% 72.27/11.38 (6) all_8_18 = all_4_22
% 72.27/11.38 (7) all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | BETA: splitting (7) gives:
% 72.27/11.38 |
% 72.27/11.38 | Case 1:
% 72.27/11.38 | |
% 72.27/11.38 | | (8) all_8_8 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | COMBINE_EQS: (2), (8) imply:
% 72.27/11.38 | | (9) e3 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | SIMP: (9) implies:
% 72.27/11.38 | | (10) e3 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (4), (10) imply:
% 72.27/11.38 | | (11) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (11) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | Case 2:
% 72.27/11.38 | |
% 72.27/11.38 | | (12) all_8_11 = e1 | all_8_18 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | BETA: splitting (12) gives:
% 72.27/11.38 | |
% 72.27/11.38 | | Case 1:
% 72.27/11.38 | | |
% 72.27/11.38 | | | (13) all_8_11 = e1
% 72.27/11.38 | | |
% 72.27/11.38 | | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #64.
% 72.27/11.38 | | |
% 72.27/11.38 | | Case 2:
% 72.27/11.38 | | |
% 72.27/11.38 | | | (14) all_8_18 = e1
% 72.27/11.38 | | |
% 72.27/11.38 | | | COMBINE_EQS: (6), (14) imply:
% 72.27/11.38 | | | (15) all_4_22 = e1
% 72.27/11.38 | | |
% 72.27/11.38 | | | SIMP: (15) implies:
% 72.27/11.38 | | | (16) all_4_22 = e1
% 72.27/11.38 | | |
% 72.27/11.38 | | | REDUCE: (5), (16) imply:
% 72.27/11.38 | | | (17) $false
% 72.27/11.38 | | |
% 72.27/11.38 | | | CLOSE: (17) is inconsistent.
% 72.27/11.38 | | |
% 72.27/11.38 | | End of split
% 72.27/11.38 | |
% 72.27/11.38 | End of split
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #6 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit = e0))
% 72.27/11.38 (2) all_10_14 = e0
% 72.27/11.38 (3) all_10_15 = e3
% 72.27/11.38 (4) ~ (e3 = e2)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | BETA: splitting (1) gives:
% 72.27/11.38 |
% 72.27/11.38 | Case 1:
% 72.27/11.38 | |
% 72.27/11.38 | | (5) ~ (all_10_14 = e0)
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (2), (5) imply:
% 72.27/11.38 | | (6) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (6) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | Case 2:
% 72.27/11.38 | |
% 72.27/11.38 | | (7) all_10_15 = e2 & ~ (unit = e0)
% 72.27/11.38 | |
% 72.27/11.38 | | ALPHA: (7) implies:
% 72.27/11.38 | | (8) all_10_15 = e2
% 72.27/11.38 | |
% 72.27/11.38 | | COMBINE_EQS: (3), (8) imply:
% 72.27/11.38 | | (9) e3 = e2
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (4), (9) imply:
% 72.27/11.38 | | (10) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (10) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | End of split
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #7 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) all_8_8 = e4
% 72.27/11.38 (2) all_8_8 = e3
% 72.27/11.38 (3) ~ (e4 = e3)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.38 | (4) e4 = e3
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (4) implies:
% 72.27/11.38 | (5) e4 = e3
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #8 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) all_6_5 = all_4_1
% 72.27/11.38 (2) all_6_5 = e0
% 72.27/11.38 (3) ~ (all_4_1 = e0)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.38 | (4) all_4_1 = e0
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (4) implies:
% 72.27/11.38 | (5) all_4_1 = e0
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #9 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) all_6_5 = all_4_1
% 72.27/11.38 (2) all_6_5 = e1
% 72.27/11.38 (3) ~ (all_4_1 = e1)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.38 | (4) all_4_1 = e1
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (4) implies:
% 72.27/11.38 | (5) all_4_1 = e1
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #10 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) ~ (e4 = e3)
% 72.27/11.38 (2) all_8_11 = all_4_17
% 72.27/11.38 (3) all_8_15 = e4
% 72.27/11.38 (4) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 72.27/11.38 (5) ~ (e3 = e0)
% 72.27/11.38 (6) all_8_23 = e0
% 72.27/11.38 (7) ~ (all_4_17 = e3)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | BETA: splitting (4) gives:
% 72.27/11.38 |
% 72.27/11.38 | Case 1:
% 72.27/11.38 | |
% 72.27/11.38 | | (8) all_8_11 = e3
% 72.27/11.38 | |
% 72.27/11.38 | | COMBINE_EQS: (2), (8) imply:
% 72.27/11.38 | | (9) all_4_17 = e3
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (7), (9) imply:
% 72.27/11.38 | | (10) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (10) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | Case 2:
% 72.27/11.38 | |
% 72.27/11.38 | | (11) all_8_15 = e3 | all_8_23 = e3
% 72.27/11.38 | |
% 72.27/11.38 | | BETA: splitting (11) gives:
% 72.27/11.38 | |
% 72.27/11.38 | | Case 1:
% 72.27/11.38 | | |
% 72.27/11.38 | | | (12) all_8_15 = e3
% 72.27/11.38 | | |
% 72.27/11.38 | | | REF_CLOSE: (1), (3), (12) are inconsistent by sub-proof #84.
% 72.27/11.38 | | |
% 72.27/11.38 | | Case 2:
% 72.27/11.38 | | |
% 72.27/11.38 | | | (13) all_8_23 = e3
% 72.27/11.38 | | |
% 72.27/11.38 | | | COMBINE_EQS: (6), (13) imply:
% 72.27/11.38 | | | (14) e3 = e0
% 72.27/11.38 | | |
% 72.27/11.38 | | | REDUCE: (5), (14) imply:
% 72.27/11.38 | | | (15) $false
% 72.27/11.38 | | |
% 72.27/11.38 | | | CLOSE: (15) is inconsistent.
% 72.27/11.38 | | |
% 72.27/11.38 | | End of split
% 72.27/11.38 | |
% 72.27/11.38 | End of split
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #11 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) all_8_12 = e3
% 72.27/11.38 (2) all_8_12 = e1
% 72.27/11.38 (3) ~ (e3 = e1)
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.38 | (4) e3 = e1
% 72.27/11.38 |
% 72.27/11.38 | SIMP: (4) implies:
% 72.27/11.38 | (5) e3 = e1
% 72.27/11.38 |
% 72.27/11.38 | REDUCE: (3), (5) imply:
% 72.27/11.38 | (6) $false
% 72.27/11.38 |
% 72.27/11.38 | CLOSE: (6) is inconsistent.
% 72.27/11.38 |
% 72.27/11.38 End of proof
% 72.27/11.38
% 72.27/11.38 Sub-proof #12 shows that the following formulas are inconsistent:
% 72.27/11.38 ----------------------------------------------------------------
% 72.27/11.38 (1) ~ (e2 = e1)
% 72.27/11.38 (2) op(e3, e2) = e1
% 72.27/11.38 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.27/11.38 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.27/11.38 (4) op(unit, e2) = e2
% 72.27/11.38 (5) op(e2, e0) = e4
% 72.27/11.38 (6) op(e1, unit) = e1
% 72.27/11.38 (7) op(e1, e0) = e2
% 72.27/11.38 (8) ~ (unit = e1)
% 72.27/11.38 (9) op(e4, unit) = e4
% 72.27/11.38 (10) op(e2, unit) = e2
% 72.27/11.38 (11) unit = e3 | unit = e0
% 72.27/11.38 (12) op(e4, e0) = e0
% 72.27/11.38
% 72.27/11.38 Begin of proof
% 72.27/11.38 |
% 72.27/11.38 | BETA: splitting (11) gives:
% 72.27/11.38 |
% 72.27/11.38 | Case 1:
% 72.27/11.38 | |
% 72.27/11.38 | | (13) unit = e3
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (4), (13) imply:
% 72.27/11.38 | | (14) op(e3, e2) = e2
% 72.27/11.38 | |
% 72.27/11.38 | | GROUND_INST: instantiating (3) with e1, e2, e2, e3, simplifying with (2),
% 72.27/11.38 | | (14) gives:
% 72.27/11.38 | | (15) e2 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (1), (15) imply:
% 72.27/11.38 | | (16) $false
% 72.27/11.38 | |
% 72.27/11.38 | | CLOSE: (16) is inconsistent.
% 72.27/11.38 | |
% 72.27/11.38 | Case 2:
% 72.27/11.38 | |
% 72.27/11.38 | | (17) unit = e0
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (8), (17) imply:
% 72.27/11.38 | | (18) ~ (e1 = e0)
% 72.27/11.38 | |
% 72.27/11.38 | | SIMP: (18) implies:
% 72.27/11.38 | | (19) ~ (e1 = e0)
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (9), (17) imply:
% 72.27/11.38 | | (20) op(e4, e0) = e4
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (10), (17) imply:
% 72.27/11.38 | | (21) op(e2, e0) = e2
% 72.27/11.38 | |
% 72.27/11.38 | | REDUCE: (6), (17) imply:
% 72.27/11.38 | | (22) op(e1, e0) = e1
% 72.27/11.38 | |
% 72.27/11.38 | | GROUND_INST: instantiating (3) with e2, e1, e0, e1, simplifying with (7),
% 72.27/11.38 | | (22) gives:
% 72.27/11.38 | | (23) e2 = e1
% 72.27/11.38 | |
% 72.27/11.38 | | GROUND_INST: instantiating (3) with e4, e2, e0, e2, simplifying with (5),
% 72.27/11.38 | | (21) gives:
% 72.27/11.38 | | (24) e4 = e2
% 72.27/11.38 | |
% 72.27/11.38 | | GROUND_INST: instantiating (3) with e0, e4, e0, e4, simplifying with (12),
% 72.27/11.38 | | (20) gives:
% 72.27/11.38 | | (25) e4 = e0
% 72.27/11.38 | |
% 72.27/11.38 | | COMBINE_EQS: (24), (25) imply:
% 72.27/11.38 | | (26) e2 = e0
% 72.27/11.39 | |
% 72.27/11.39 | | SIMP: (26) implies:
% 72.27/11.39 | | (27) e2 = e0
% 72.27/11.39 | |
% 72.27/11.39 | | REF_CLOSE: (19), (23), (27) are inconsistent by sub-proof #16.
% 72.27/11.39 | |
% 72.27/11.39 | End of split
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #13 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) all_8_4 = e4
% 72.27/11.39 (2) all_8_4 = e1
% 72.27/11.39 (3) ~ (e4 = e1)
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.39 | (4) e4 = e1
% 72.27/11.39 |
% 72.27/11.39 | SIMP: (4) implies:
% 72.27/11.39 | (5) e4 = e1
% 72.27/11.39 |
% 72.27/11.39 | REDUCE: (3), (5) imply:
% 72.27/11.39 | (6) $false
% 72.27/11.39 |
% 72.27/11.39 | CLOSE: (6) is inconsistent.
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #14 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) ~ (e3 = e2)
% 72.27/11.39 (2) all_8_10 = e2
% 72.27/11.39 (3) ~ (e4 = e3)
% 72.27/11.39 (4) all_8_17 = e4
% 72.27/11.39 (5) all_8_10 = e3 | all_8_17 = e3
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | BETA: splitting (5) gives:
% 72.27/11.39 |
% 72.27/11.39 | Case 1:
% 72.27/11.39 | |
% 72.27/11.39 | | (6) all_8_10 = e3
% 72.27/11.39 | |
% 72.27/11.39 | | COMBINE_EQS: (2), (6) imply:
% 72.27/11.39 | | (7) e3 = e2
% 72.27/11.39 | |
% 72.27/11.39 | | REDUCE: (1), (7) imply:
% 72.27/11.39 | | (8) $false
% 72.27/11.39 | |
% 72.27/11.39 | | CLOSE: (8) is inconsistent.
% 72.27/11.39 | |
% 72.27/11.39 | Case 2:
% 72.27/11.39 | |
% 72.27/11.39 | | (9) all_8_17 = e3
% 72.27/11.39 | |
% 72.27/11.39 | | COMBINE_EQS: (4), (9) imply:
% 72.27/11.39 | | (10) e4 = e3
% 72.27/11.39 | |
% 72.27/11.39 | | SIMP: (10) implies:
% 72.27/11.39 | | (11) e4 = e3
% 72.27/11.39 | |
% 72.27/11.39 | | REDUCE: (3), (11) imply:
% 72.27/11.39 | | (12) $false
% 72.27/11.39 | |
% 72.27/11.39 | | CLOSE: (12) is inconsistent.
% 72.27/11.39 | |
% 72.27/11.39 | End of split
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #15 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0
% 72.27/11.39 (2) all_6_9 = all_4_21
% 72.27/11.39 (3) ~ (all_4_21 = e0)
% 72.27/11.39 (4) ~ (all_4_21 = e1)
% 72.27/11.39 (5) ~ (all_4_21 = e3)
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | BETA: splitting (1) gives:
% 72.27/11.39 |
% 72.27/11.39 | Case 1:
% 72.27/11.39 | |
% 72.27/11.39 | | (6) all_6_9 = e1
% 72.27/11.39 | |
% 72.27/11.39 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #41.
% 72.27/11.39 | |
% 72.27/11.39 | Case 2:
% 72.27/11.39 | |
% 72.27/11.39 | | (7) all_6_9 = e3 | all_6_9 = e0
% 72.27/11.39 | |
% 72.27/11.39 | | BETA: splitting (7) gives:
% 72.27/11.39 | |
% 72.27/11.39 | | Case 1:
% 72.27/11.39 | | |
% 72.27/11.39 | | | (8) all_6_9 = e3
% 72.27/11.39 | | |
% 72.27/11.39 | | | COMBINE_EQS: (2), (8) imply:
% 72.27/11.39 | | | (9) all_4_21 = e3
% 72.27/11.39 | | |
% 72.27/11.39 | | | SIMP: (9) implies:
% 72.27/11.39 | | | (10) all_4_21 = e3
% 72.27/11.39 | | |
% 72.27/11.39 | | | REDUCE: (5), (10) imply:
% 72.27/11.39 | | | (11) $false
% 72.27/11.39 | | |
% 72.27/11.39 | | | CLOSE: (11) is inconsistent.
% 72.27/11.39 | | |
% 72.27/11.39 | | Case 2:
% 72.27/11.39 | | |
% 72.27/11.39 | | | (12) all_6_9 = e0
% 72.27/11.39 | | |
% 72.27/11.39 | | | REF_CLOSE: (2), (3), (12) are inconsistent by sub-proof #39.
% 72.27/11.39 | | |
% 72.27/11.39 | | End of split
% 72.27/11.39 | |
% 72.27/11.39 | End of split
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #16 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) e2 = e1
% 72.27/11.39 (2) e2 = e0
% 72.27/11.39 (3) ~ (e1 = e0)
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.39 | (4) e1 = e0
% 72.27/11.39 |
% 72.27/11.39 | SIMP: (4) implies:
% 72.27/11.39 | (5) e1 = e0
% 72.27/11.39 |
% 72.27/11.39 | REDUCE: (3), (5) imply:
% 72.27/11.39 | (6) $false
% 72.27/11.39 |
% 72.27/11.39 | CLOSE: (6) is inconsistent.
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #17 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) ~ (all_4_11 = e4)
% 72.27/11.39 (2) ~ (all_4_11 = e3)
% 72.27/11.39 (3) ~ (all_4_11 = e0)
% 72.27/11.39 (4) all_6_7 = all_4_11
% 72.27/11.39 (5) ~ (all_4_11 = e1)
% 72.27/11.39 (6) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | BETA: splitting (6) gives:
% 72.27/11.39 |
% 72.27/11.39 | Case 1:
% 72.27/11.39 | |
% 72.27/11.39 | | (7) all_6_7 = e4
% 72.27/11.39 | |
% 72.27/11.39 | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #18.
% 72.27/11.39 | |
% 72.27/11.39 | Case 2:
% 72.27/11.39 | |
% 72.27/11.39 | | (8) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 72.27/11.39 | |
% 72.27/11.39 | | REF_CLOSE: (2), (3), (4), (5), (8) are inconsistent by sub-proof #36.
% 72.27/11.39 | |
% 72.27/11.39 | End of split
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #18 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) all_6_7 = all_4_11
% 72.27/11.39 (2) all_6_7 = e4
% 72.27/11.39 (3) ~ (all_4_11 = e4)
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.39 | (4) all_4_11 = e4
% 72.27/11.39 |
% 72.27/11.39 | SIMP: (4) implies:
% 72.27/11.39 | (5) all_4_11 = e4
% 72.27/11.39 |
% 72.27/11.39 | REDUCE: (3), (5) imply:
% 72.27/11.39 | (6) $false
% 72.27/11.39 |
% 72.27/11.39 | CLOSE: (6) is inconsistent.
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #19 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) all_6_3 = all_4_15
% 72.27/11.39 (2) all_6_3 = e0
% 72.27/11.39 (3) ~ (all_4_15 = e0)
% 72.27/11.39
% 72.27/11.39 Begin of proof
% 72.27/11.39 |
% 72.27/11.39 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.39 | (4) all_4_15 = e0
% 72.27/11.39 |
% 72.27/11.39 | SIMP: (4) implies:
% 72.27/11.39 | (5) all_4_15 = e0
% 72.27/11.39 |
% 72.27/11.39 | REDUCE: (3), (5) imply:
% 72.27/11.39 | (6) $false
% 72.27/11.39 |
% 72.27/11.39 | CLOSE: (6) is inconsistent.
% 72.27/11.39 |
% 72.27/11.39 End of proof
% 72.27/11.39
% 72.27/11.39 Sub-proof #20 shows that the following formulas are inconsistent:
% 72.27/11.39 ----------------------------------------------------------------
% 72.27/11.39 (1) ~ (e4 = e1)
% 72.27/11.39 (2) all_8_19 = e2
% 72.27/11.39 (3) ~ (e4 = e2)
% 72.27/11.39 (4) ~ (all_4_22 = e4)
% 72.27/11.39 (5) all_8_18 = all_4_22
% 72.27/11.40 (6) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 72.27/11.40 (7) all_8_24 = e1
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | BETA: splitting (6) gives:
% 72.27/11.40 |
% 72.27/11.40 | Case 1:
% 72.27/11.40 | |
% 72.27/11.40 | | (8) all_8_18 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | COMBINE_EQS: (5), (8) imply:
% 72.27/11.40 | | (9) all_4_22 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | SIMP: (9) implies:
% 72.27/11.40 | | (10) all_4_22 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | REDUCE: (4), (10) imply:
% 72.27/11.40 | | (11) $false
% 72.27/11.40 | |
% 72.27/11.40 | | CLOSE: (11) is inconsistent.
% 72.27/11.40 | |
% 72.27/11.40 | Case 2:
% 72.27/11.40 | |
% 72.27/11.40 | | (12) all_8_19 = e4 | all_8_24 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | REF_CLOSE: (1), (2), (3), (7), (12) are inconsistent by sub-proof #21.
% 72.27/11.40 | |
% 72.27/11.40 | End of split
% 72.27/11.40 |
% 72.27/11.40 End of proof
% 72.27/11.40
% 72.27/11.40 Sub-proof #21 shows that the following formulas are inconsistent:
% 72.27/11.40 ----------------------------------------------------------------
% 72.27/11.40 (1) ~ (e4 = e1)
% 72.27/11.40 (2) all_8_19 = e2
% 72.27/11.40 (3) all_8_19 = e4 | all_8_24 = e4
% 72.27/11.40 (4) ~ (e4 = e2)
% 72.27/11.40 (5) all_8_24 = e1
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | BETA: splitting (3) gives:
% 72.27/11.40 |
% 72.27/11.40 | Case 1:
% 72.27/11.40 | |
% 72.27/11.40 | | (6) all_8_19 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | COMBINE_EQS: (2), (6) imply:
% 72.27/11.40 | | (7) e4 = e2
% 72.27/11.40 | |
% 72.27/11.40 | | REDUCE: (4), (7) imply:
% 72.27/11.40 | | (8) $false
% 72.27/11.40 | |
% 72.27/11.40 | | CLOSE: (8) is inconsistent.
% 72.27/11.40 | |
% 72.27/11.40 | Case 2:
% 72.27/11.40 | |
% 72.27/11.40 | | (9) all_8_24 = e4
% 72.27/11.40 | |
% 72.27/11.40 | | COMBINE_EQS: (5), (9) imply:
% 72.27/11.40 | | (10) e4 = e1
% 72.27/11.40 | |
% 72.27/11.40 | | REDUCE: (1), (10) imply:
% 72.27/11.40 | | (11) $false
% 72.27/11.40 | |
% 72.27/11.40 | | CLOSE: (11) is inconsistent.
% 72.27/11.40 | |
% 72.27/11.40 | End of split
% 72.27/11.40 |
% 72.27/11.40 End of proof
% 72.27/11.40
% 72.27/11.40 Sub-proof #22 shows that the following formulas are inconsistent:
% 72.27/11.40 ----------------------------------------------------------------
% 72.27/11.40 (1) ~ (e3 = e2)
% 72.27/11.40 (2) all_8_19 = e2
% 72.27/11.40 (3) ~ (e4 = e3)
% 72.27/11.40 (4) ~ (e3 = e1)
% 72.27/11.40 (5) ~ (all_4_22 = e3)
% 72.27/11.40 (6) all_8_17 = e4
% 72.27/11.40 (7) all_8_18 = all_4_22
% 72.27/11.40 (8) all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3
% 72.27/11.40 (9) all_8_24 = e1
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | BETA: splitting (8) gives:
% 72.27/11.40 |
% 72.27/11.40 | Case 1:
% 72.27/11.40 | |
% 72.27/11.40 | | (10) all_8_17 = e3
% 72.27/11.40 | |
% 72.27/11.40 | | COMBINE_EQS: (6), (10) imply:
% 72.27/11.40 | | (11) e4 = e3
% 72.27/11.40 | |
% 72.27/11.40 | | REDUCE: (3), (11) imply:
% 72.27/11.40 | | (12) $false
% 72.27/11.40 | |
% 72.27/11.40 | | CLOSE: (12) is inconsistent.
% 72.27/11.40 | |
% 72.27/11.40 | Case 2:
% 72.27/11.40 | |
% 72.27/11.40 | | (13) all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3
% 72.27/11.40 | |
% 72.27/11.40 | | BETA: splitting (13) gives:
% 72.27/11.40 | |
% 72.27/11.40 | | Case 1:
% 72.27/11.40 | | |
% 72.27/11.40 | | | (14) all_8_18 = e3
% 72.27/11.40 | | |
% 72.27/11.40 | | | COMBINE_EQS: (7), (14) imply:
% 72.27/11.40 | | | (15) all_4_22 = e3
% 72.27/11.40 | | |
% 72.27/11.40 | | | REDUCE: (5), (15) imply:
% 72.27/11.40 | | | (16) $false
% 72.27/11.40 | | |
% 72.27/11.40 | | | CLOSE: (16) is inconsistent.
% 72.27/11.40 | | |
% 72.27/11.40 | | Case 2:
% 72.27/11.40 | | |
% 72.27/11.40 | | | (17) all_8_19 = e3 | all_8_24 = e3
% 72.27/11.40 | | |
% 72.27/11.40 | | | BETA: splitting (17) gives:
% 72.27/11.40 | | |
% 72.27/11.40 | | | Case 1:
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | (18) all_8_19 = e3
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | REF_CLOSE: (1), (2), (18) are inconsistent by sub-proof #23.
% 72.27/11.40 | | | |
% 72.27/11.40 | | | Case 2:
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | (19) all_8_24 = e3
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | COMBINE_EQS: (9), (19) imply:
% 72.27/11.40 | | | | (20) e3 = e1
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | REDUCE: (4), (20) imply:
% 72.27/11.40 | | | | (21) $false
% 72.27/11.40 | | | |
% 72.27/11.40 | | | | CLOSE: (21) is inconsistent.
% 72.27/11.40 | | | |
% 72.27/11.40 | | | End of split
% 72.27/11.40 | | |
% 72.27/11.40 | | End of split
% 72.27/11.40 | |
% 72.27/11.40 | End of split
% 72.27/11.40 |
% 72.27/11.40 End of proof
% 72.27/11.40
% 72.27/11.40 Sub-proof #23 shows that the following formulas are inconsistent:
% 72.27/11.40 ----------------------------------------------------------------
% 72.27/11.40 (1) all_8_19 = e3
% 72.27/11.40 (2) all_8_19 = e2
% 72.27/11.40 (3) ~ (e3 = e2)
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.40 | (4) e3 = e2
% 72.27/11.40 |
% 72.27/11.40 | SIMP: (4) implies:
% 72.27/11.40 | (5) e3 = e2
% 72.27/11.40 |
% 72.27/11.40 | REDUCE: (3), (5) imply:
% 72.27/11.40 | (6) $false
% 72.27/11.40 |
% 72.27/11.40 | CLOSE: (6) is inconsistent.
% 72.27/11.40 |
% 72.27/11.40 End of proof
% 72.27/11.40
% 72.27/11.40 Sub-proof #24 shows that the following formulas are inconsistent:
% 72.27/11.40 ----------------------------------------------------------------
% 72.27/11.40 (1) e3 = e2
% 72.27/11.40 (2) e3 = e1
% 72.27/11.40 (3) e2 = e0
% 72.27/11.40 (4) ~ (e1 = e0)
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | COMBINE_EQS: (1), (2) imply:
% 72.27/11.40 | (5) e2 = e1
% 72.27/11.40 |
% 72.27/11.40 | SIMP: (5) implies:
% 72.27/11.40 | (6) e2 = e1
% 72.27/11.40 |
% 72.27/11.40 | COMBINE_EQS: (3), (6) imply:
% 72.27/11.40 | (7) e1 = e0
% 72.27/11.40 |
% 72.27/11.40 | REDUCE: (4), (7) imply:
% 72.27/11.40 | (8) $false
% 72.27/11.40 |
% 72.27/11.40 | CLOSE: (8) is inconsistent.
% 72.27/11.40 |
% 72.27/11.40 End of proof
% 72.27/11.40
% 72.27/11.40 Sub-proof #25 shows that the following formulas are inconsistent:
% 72.27/11.40 ----------------------------------------------------------------
% 72.27/11.40 (1) ~ (e2 = e0)
% 72.27/11.40 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.27/11.40 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.27/11.40 (3) op(e4, e4) = e2
% 72.27/11.40 (4) op(e4, e4) = e4
% 72.27/11.40 (5) op(e0, e4) = e4
% 72.27/11.40 (6) op(e0, e4) = e0
% 72.27/11.40
% 72.27/11.40 Begin of proof
% 72.27/11.40 |
% 72.27/11.40 | GROUND_INST: instantiating (2) with e4, e0, e4, e0, simplifying with (5), (6)
% 72.27/11.41 | gives:
% 72.27/11.41 | (7) e4 = e0
% 72.27/11.41 |
% 72.27/11.41 | GROUND_INST: instantiating (2) with e2, e4, e4, e4, simplifying with (3), (4)
% 72.27/11.41 | gives:
% 72.27/11.41 | (8) e4 = e2
% 72.27/11.41 |
% 72.27/11.41 | COMBINE_EQS: (7), (8) imply:
% 72.27/11.41 | (9) e2 = e0
% 72.27/11.41 |
% 72.27/11.41 | REDUCE: (1), (9) imply:
% 72.27/11.41 | (10) $false
% 72.92/11.41 |
% 72.92/11.41 | CLOSE: (10) is inconsistent.
% 72.92/11.41 |
% 72.92/11.41 End of proof
% 72.92/11.41
% 72.92/11.41 Sub-proof #26 shows that the following formulas are inconsistent:
% 72.92/11.41 ----------------------------------------------------------------
% 72.92/11.41 (1) all_6_3 = all_4_15
% 72.92/11.41 (2) all_6_3 = e1
% 72.92/11.41 (3) ~ (all_4_15 = e1)
% 72.92/11.41
% 72.92/11.41 Begin of proof
% 72.92/11.41 |
% 72.92/11.41 | COMBINE_EQS: (1), (2) imply:
% 72.92/11.41 | (4) all_4_15 = e1
% 72.92/11.41 |
% 72.92/11.41 | SIMP: (4) implies:
% 72.92/11.41 | (5) all_4_15 = e1
% 72.92/11.41 |
% 72.92/11.41 | REDUCE: (3), (5) imply:
% 72.92/11.41 | (6) $false
% 72.92/11.41 |
% 72.92/11.41 | CLOSE: (6) is inconsistent.
% 72.92/11.41 |
% 72.92/11.41 End of proof
% 72.92/11.41
% 72.92/11.41 Sub-proof #27 shows that the following formulas are inconsistent:
% 72.92/11.41 ----------------------------------------------------------------
% 72.92/11.41 (1) all_6_3 = all_4_15
% 72.92/11.41 (2) all_6_3 = e4
% 72.92/11.41 (3) ~ (all_4_15 = e4)
% 72.92/11.41
% 72.92/11.41 Begin of proof
% 72.92/11.41 |
% 72.92/11.41 | COMBINE_EQS: (1), (2) imply:
% 72.92/11.41 | (4) all_4_15 = e4
% 72.92/11.41 |
% 72.92/11.41 | SIMP: (4) implies:
% 72.92/11.41 | (5) all_4_15 = e4
% 72.92/11.41 |
% 72.92/11.41 | REDUCE: (3), (5) imply:
% 72.92/11.41 | (6) $false
% 72.92/11.41 |
% 72.92/11.41 | CLOSE: (6) is inconsistent.
% 72.92/11.41 |
% 72.92/11.41 End of proof
% 72.92/11.41
% 72.92/11.41 Sub-proof #28 shows that the following formulas are inconsistent:
% 72.92/11.41 ----------------------------------------------------------------
% 72.92/11.41 (1) ~ (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit = e3))
% 72.92/11.41 (2) all_10_12 = e3
% 72.92/11.41 (3) all_10_13 = e1
% 72.92/11.41 (4) ~ (e4 = e1)
% 72.92/11.41
% 72.92/11.41 Begin of proof
% 72.92/11.41 |
% 72.92/11.41 | BETA: splitting (1) gives:
% 72.92/11.41 |
% 72.92/11.41 | Case 1:
% 72.92/11.41 | |
% 72.92/11.41 | | (5) ~ (all_10_12 = e3)
% 72.92/11.41 | |
% 72.92/11.41 | | REDUCE: (2), (5) imply:
% 72.92/11.41 | | (6) $false
% 72.92/11.41 | |
% 72.92/11.41 | | CLOSE: (6) is inconsistent.
% 72.92/11.41 | |
% 72.92/11.41 | Case 2:
% 73.12/11.41 | |
% 73.12/11.41 | | (7) all_10_13 = e4 & ~ (unit = e3)
% 73.12/11.41 | |
% 73.12/11.41 | | ALPHA: (7) implies:
% 73.12/11.41 | | (8) all_10_13 = e4
% 73.12/11.41 | |
% 73.12/11.41 | | COMBINE_EQS: (3), (8) imply:
% 73.12/11.41 | | (9) e4 = e1
% 73.12/11.41 | |
% 73.12/11.41 | | REDUCE: (4), (9) imply:
% 73.12/11.41 | | (10) $false
% 73.12/11.41 | |
% 73.12/11.41 | | CLOSE: (10) is inconsistent.
% 73.12/11.41 | |
% 73.12/11.41 | End of split
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #29 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_6_5 = all_4_1
% 73.12/11.41 (2) all_6_5 = e2
% 73.12/11.41 (3) ~ (all_4_1 = e2)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) all_4_1 = e2
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) all_4_1 = e2
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #30 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_6_3 = all_4_15
% 73.12/11.41 (2) all_6_3 = e2
% 73.12/11.41 (3) ~ (all_4_15 = e2)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) all_4_15 = e2
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) all_4_15 = e2
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #31 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_6_4 = all_4_20
% 73.12/11.41 (2) all_6_4 = e2
% 73.12/11.41 (3) ~ (all_4_20 = e2)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) all_4_20 = e2
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) all_4_20 = e2
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #32 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_6_1 = all_4_5
% 73.12/11.41 (2) all_6_1 = e2
% 73.12/11.41 (3) ~ (all_4_5 = e2)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) all_4_5 = e2
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) all_4_5 = e2
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #33 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_6_7 = all_4_11
% 73.12/11.41 (2) all_6_7 = e2
% 73.12/11.41 (3) ~ (all_4_11 = e2)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) all_4_11 = e2
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) all_4_11 = e2
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #34 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_10_23 = e4
% 73.12/11.41 (2) all_10_23 = e1
% 73.12/11.41 (3) ~ (e4 = e1)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.41 | (4) e4 = e1
% 73.12/11.41 |
% 73.12/11.41 | SIMP: (4) implies:
% 73.12/11.41 | (5) e4 = e1
% 73.12/11.41 |
% 73.12/11.41 | REDUCE: (3), (5) imply:
% 73.12/11.41 | (6) $false
% 73.12/11.41 |
% 73.12/11.41 | CLOSE: (6) is inconsistent.
% 73.12/11.41 |
% 73.12/11.41 End of proof
% 73.12/11.41
% 73.12/11.41 Sub-proof #35 shows that the following formulas are inconsistent:
% 73.12/11.41 ----------------------------------------------------------------
% 73.12/11.41 (1) all_10_22 = e3
% 73.12/11.41 (2) all_10_22 = e1
% 73.12/11.41 (3) ~ (e3 = e1)
% 73.12/11.41
% 73.12/11.41 Begin of proof
% 73.12/11.41 |
% 73.12/11.41 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.42 | (4) e3 = e1
% 73.12/11.42 |
% 73.12/11.42 | SIMP: (4) implies:
% 73.12/11.42 | (5) e3 = e1
% 73.12/11.42 |
% 73.12/11.42 | REDUCE: (3), (5) imply:
% 73.12/11.42 | (6) $false
% 73.12/11.42 |
% 73.12/11.42 | CLOSE: (6) is inconsistent.
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #36 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) ~ (all_4_11 = e3)
% 73.12/11.42 (2) ~ (all_4_11 = e0)
% 73.12/11.42 (3) all_6_7 = all_4_11
% 73.12/11.42 (4) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0
% 73.12/11.42 (5) ~ (all_4_11 = e1)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | BETA: splitting (4) gives:
% 73.12/11.42 |
% 73.12/11.42 | Case 1:
% 73.12/11.42 | |
% 73.12/11.42 | | (6) all_6_7 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | COMBINE_EQS: (3), (6) imply:
% 73.12/11.42 | | (7) all_4_11 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | SIMP: (7) implies:
% 73.12/11.42 | | (8) all_4_11 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | REDUCE: (5), (8) imply:
% 73.12/11.42 | | (9) $false
% 73.12/11.42 | |
% 73.12/11.42 | | CLOSE: (9) is inconsistent.
% 73.12/11.42 | |
% 73.12/11.42 | Case 2:
% 73.12/11.42 | |
% 73.12/11.42 | | (10) all_6_7 = e3 | all_6_7 = e0
% 73.12/11.42 | |
% 73.12/11.42 | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #37.
% 73.12/11.42 | |
% 73.12/11.42 | End of split
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #37 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) all_6_7 = e3 | all_6_7 = e0
% 73.12/11.42 (2) all_6_7 = all_4_11
% 73.12/11.42 (3) ~ (all_4_11 = e3)
% 73.12/11.42 (4) ~ (all_4_11 = e0)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | BETA: splitting (1) gives:
% 73.12/11.42 |
% 73.12/11.42 | Case 1:
% 73.12/11.42 | |
% 73.12/11.42 | | (5) all_6_7 = e3
% 73.12/11.42 | |
% 73.12/11.42 | | COMBINE_EQS: (2), (5) imply:
% 73.12/11.42 | | (6) all_4_11 = e3
% 73.12/11.42 | |
% 73.12/11.42 | | SIMP: (6) implies:
% 73.12/11.42 | | (7) all_4_11 = e3
% 73.12/11.42 | |
% 73.12/11.42 | | REDUCE: (3), (7) imply:
% 73.12/11.42 | | (8) $false
% 73.12/11.42 | |
% 73.12/11.42 | | CLOSE: (8) is inconsistent.
% 73.12/11.42 | |
% 73.12/11.42 | Case 2:
% 73.12/11.42 | |
% 73.12/11.42 | | (9) all_6_7 = e0
% 73.12/11.42 | |
% 73.12/11.42 | | COMBINE_EQS: (2), (9) imply:
% 73.12/11.42 | | (10) all_4_11 = e0
% 73.12/11.42 | |
% 73.12/11.42 | | SIMP: (10) implies:
% 73.12/11.42 | | (11) all_4_11 = e0
% 73.12/11.42 | |
% 73.12/11.42 | | REDUCE: (4), (11) imply:
% 73.12/11.42 | | (12) $false
% 73.12/11.42 | |
% 73.12/11.42 | | CLOSE: (12) is inconsistent.
% 73.12/11.42 | |
% 73.12/11.42 | End of split
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #38 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) all_8_17 = all_4_21
% 73.12/11.42 (2) all_8_17 = e2
% 73.12/11.42 (3) ~ (all_4_21 = e2)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.42 | (4) all_4_21 = e2
% 73.12/11.42 |
% 73.12/11.42 | SIMP: (4) implies:
% 73.12/11.42 | (5) all_4_21 = e2
% 73.12/11.42 |
% 73.12/11.42 | REDUCE: (3), (5) imply:
% 73.12/11.42 | (6) $false
% 73.12/11.42 |
% 73.12/11.42 | CLOSE: (6) is inconsistent.
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #39 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) all_6_9 = all_4_21
% 73.12/11.42 (2) all_6_9 = e0
% 73.12/11.42 (3) ~ (all_4_21 = e0)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.42 | (4) all_4_21 = e0
% 73.12/11.42 |
% 73.12/11.42 | SIMP: (4) implies:
% 73.12/11.42 | (5) all_4_21 = e0
% 73.12/11.42 |
% 73.12/11.42 | REDUCE: (3), (5) imply:
% 73.12/11.42 | (6) $false
% 73.12/11.42 |
% 73.12/11.42 | CLOSE: (6) is inconsistent.
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #40 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) ~ (all_10_6 = e2) | (all_10_5 = e1 & ~ (unit = e2))
% 73.12/11.42 (2) all_10_6 = e2
% 73.12/11.42 (3) all_10_5 = e4
% 73.12/11.42 (4) ~ (e4 = e1)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | BETA: splitting (1) gives:
% 73.12/11.42 |
% 73.12/11.42 | Case 1:
% 73.12/11.42 | |
% 73.12/11.42 | | (5) ~ (all_10_6 = e2)
% 73.12/11.42 | |
% 73.12/11.42 | | REDUCE: (2), (5) imply:
% 73.12/11.42 | | (6) $false
% 73.12/11.42 | |
% 73.12/11.42 | | CLOSE: (6) is inconsistent.
% 73.12/11.42 | |
% 73.12/11.42 | Case 2:
% 73.12/11.42 | |
% 73.12/11.42 | | (7) all_10_5 = e1 & ~ (unit = e2)
% 73.12/11.42 | |
% 73.12/11.42 | | ALPHA: (7) implies:
% 73.12/11.42 | | (8) all_10_5 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | COMBINE_EQS: (3), (8) imply:
% 73.12/11.42 | | (9) e4 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | SIMP: (9) implies:
% 73.12/11.42 | | (10) e4 = e1
% 73.12/11.42 | |
% 73.12/11.42 | | REDUCE: (4), (10) imply:
% 73.12/11.42 | | (11) $false
% 73.12/11.42 | |
% 73.12/11.42 | | CLOSE: (11) is inconsistent.
% 73.12/11.42 | |
% 73.12/11.42 | End of split
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #41 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) all_6_9 = all_4_21
% 73.12/11.42 (2) all_6_9 = e1
% 73.12/11.42 (3) ~ (all_4_21 = e1)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.42 | (4) all_4_21 = e1
% 73.12/11.42 |
% 73.12/11.42 | SIMP: (4) implies:
% 73.12/11.42 | (5) all_4_21 = e1
% 73.12/11.42 |
% 73.12/11.42 | REDUCE: (3), (5) imply:
% 73.12/11.42 | (6) $false
% 73.12/11.42 |
% 73.12/11.42 | CLOSE: (6) is inconsistent.
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #42 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) ~ (all_4_17 = e2)
% 73.12/11.42 (2) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 73.12/11.42 (3) all_8_11 = all_4_17
% 73.12/11.42 (4) all_8_15 = e4
% 73.12/11.42 (5) ~ (all_4_19 = e2)
% 73.12/11.42 (6) all_8_23 = all_4_19
% 73.12/11.42 (7) ~ (e4 = e2)
% 73.12/11.42
% 73.12/11.42 Begin of proof
% 73.12/11.42 |
% 73.12/11.42 | BETA: splitting (2) gives:
% 73.12/11.42 |
% 73.12/11.42 | Case 1:
% 73.12/11.42 | |
% 73.12/11.42 | | (8) all_8_11 = e2
% 73.12/11.42 | |
% 73.12/11.42 | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #44.
% 73.12/11.42 | |
% 73.12/11.42 | Case 2:
% 73.12/11.42 | |
% 73.12/11.42 | | (9) all_8_15 = e2 | all_8_23 = e2
% 73.12/11.42 | |
% 73.12/11.42 | | REF_CLOSE: (4), (5), (6), (7), (9) are inconsistent by sub-proof #43.
% 73.12/11.42 | |
% 73.12/11.42 | End of split
% 73.12/11.42 |
% 73.12/11.42 End of proof
% 73.12/11.42
% 73.12/11.42 Sub-proof #43 shows that the following formulas are inconsistent:
% 73.12/11.42 ----------------------------------------------------------------
% 73.12/11.42 (1) all_8_15 = e2 | all_8_23 = e2
% 73.12/11.43 (2) all_8_15 = e4
% 73.12/11.43 (3) ~ (all_4_19 = e2)
% 73.12/11.43 (4) all_8_23 = all_4_19
% 73.12/11.43 (5) ~ (e4 = e2)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | BETA: splitting (1) gives:
% 73.12/11.43 |
% 73.12/11.43 | Case 1:
% 73.12/11.43 | |
% 73.12/11.43 | | (6) all_8_15 = e2
% 73.12/11.43 | |
% 73.12/11.43 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #71.
% 73.12/11.43 | |
% 73.12/11.43 | Case 2:
% 73.12/11.43 | |
% 73.12/11.43 | | (7) all_8_23 = e2
% 73.12/11.43 | |
% 73.12/11.43 | | COMBINE_EQS: (4), (7) imply:
% 73.12/11.43 | | (8) all_4_19 = e2
% 73.12/11.43 | |
% 73.12/11.43 | | SIMP: (8) implies:
% 73.12/11.43 | | (9) all_4_19 = e2
% 73.12/11.43 | |
% 73.12/11.43 | | REDUCE: (3), (9) imply:
% 73.12/11.43 | | (10) $false
% 73.12/11.43 | |
% 73.12/11.43 | | CLOSE: (10) is inconsistent.
% 73.12/11.43 | |
% 73.12/11.43 | End of split
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #44 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) all_8_11 = all_4_17
% 73.12/11.43 (2) all_8_11 = e2
% 73.12/11.43 (3) ~ (all_4_17 = e2)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.43 | (4) all_4_17 = e2
% 73.12/11.43 |
% 73.12/11.43 | SIMP: (4) implies:
% 73.12/11.43 | (5) all_4_17 = e2
% 73.12/11.43 |
% 73.12/11.43 | REDUCE: (3), (5) imply:
% 73.12/11.43 | (6) $false
% 73.12/11.43 |
% 73.12/11.43 | CLOSE: (6) is inconsistent.
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #45 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) all_8_10 = all_4_16
% 73.12/11.43 (2) all_8_10 = e2
% 73.12/11.43 (3) ~ (all_4_16 = e2)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.43 | (4) all_4_16 = e2
% 73.12/11.43 |
% 73.12/11.43 | SIMP: (4) implies:
% 73.12/11.43 | (5) all_4_16 = e2
% 73.12/11.43 |
% 73.12/11.43 | REDUCE: (3), (5) imply:
% 73.12/11.43 | (6) $false
% 73.12/11.43 |
% 73.12/11.43 | CLOSE: (6) is inconsistent.
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #46 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) all_8_9 = all_4_15
% 73.12/11.43 (2) all_8_9 = e2
% 73.12/11.43 (3) ~ (all_4_15 = e2)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.43 | (4) all_4_15 = e2
% 73.12/11.43 |
% 73.12/11.43 | SIMP: (4) implies:
% 73.12/11.43 | (5) all_4_15 = e2
% 73.12/11.43 |
% 73.12/11.43 | REDUCE: (3), (5) imply:
% 73.12/11.43 | (6) $false
% 73.12/11.43 |
% 73.12/11.43 | CLOSE: (6) is inconsistent.
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #47 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) all_10_4 = e2 & ~ (unit = e4)
% 73.12/11.43 (2) all_10_4 = all_4_1
% 73.12/11.43 (3) ~ (all_4_1 = e2)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | ALPHA: (1) implies:
% 73.12/11.43 | (4) all_10_4 = e2
% 73.12/11.43 |
% 73.12/11.43 | COMBINE_EQS: (2), (4) imply:
% 73.12/11.43 | (5) all_4_1 = e2
% 73.12/11.43 |
% 73.12/11.43 | SIMP: (5) implies:
% 73.12/11.43 | (6) all_4_1 = e2
% 73.12/11.43 |
% 73.12/11.43 | REDUCE: (3), (6) imply:
% 73.12/11.43 | (7) $false
% 73.12/11.43 |
% 73.12/11.43 | CLOSE: (7) is inconsistent.
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #48 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) ~ (e4 = e1)
% 73.12/11.43 (2) ~ (e2 = e1)
% 73.12/11.43 (3) ~ (e3 = e2)
% 73.12/11.43 (4) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.12/11.43 (5) all_8_19 = e2
% 73.12/11.43 (6) ~ (e4 = e3)
% 73.12/11.43 (7) all_8_14 = e0
% 73.12/11.43 (8) all_8_15 = e4
% 73.12/11.43 (9) ~ (e3 = e1)
% 73.12/11.43 (10) ~ (e1 = e0)
% 73.12/11.43 (11) ~ (e3 = e0)
% 73.12/11.43 (12) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | BETA: splitting (12) gives:
% 73.12/11.43 |
% 73.12/11.43 | Case 1:
% 73.12/11.43 | |
% 73.12/11.43 | | (13) all_8_13 = e3
% 73.12/11.43 | |
% 73.12/11.43 | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (13) are inconsistent by
% 73.12/11.43 | | sub-proof #50.
% 73.12/11.43 | |
% 73.12/11.43 | Case 2:
% 73.12/11.43 | |
% 73.12/11.43 | | (14) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.12/11.43 | |
% 73.12/11.43 | | REF_CLOSE: (3), (5), (6), (7), (8), (11), (14) are inconsistent by sub-proof
% 73.12/11.43 | | #49.
% 73.12/11.43 | |
% 73.12/11.43 | End of split
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #49 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) ~ (e3 = e2)
% 73.12/11.43 (2) all_8_19 = e2
% 73.12/11.43 (3) ~ (e4 = e3)
% 73.12/11.43 (4) all_8_14 = e0
% 73.12/11.43 (5) all_8_15 = e4
% 73.12/11.43 (6) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.12/11.43 (7) ~ (e3 = e0)
% 73.12/11.43
% 73.12/11.43 Begin of proof
% 73.12/11.43 |
% 73.12/11.43 | BETA: splitting (6) gives:
% 73.12/11.43 |
% 73.12/11.43 | Case 1:
% 73.12/11.43 | |
% 73.12/11.43 | | (8) all_8_14 = e3
% 73.12/11.43 | |
% 73.12/11.43 | | COMBINE_EQS: (4), (8) imply:
% 73.12/11.43 | | (9) e3 = e0
% 73.12/11.43 | |
% 73.12/11.43 | | REDUCE: (7), (9) imply:
% 73.12/11.43 | | (10) $false
% 73.12/11.43 | |
% 73.12/11.43 | | CLOSE: (10) is inconsistent.
% 73.12/11.43 | |
% 73.12/11.43 | Case 2:
% 73.12/11.43 | |
% 73.12/11.43 | | (11) all_8_15 = e3 | all_8_19 = e3
% 73.12/11.43 | |
% 73.12/11.43 | | BETA: splitting (11) gives:
% 73.12/11.43 | |
% 73.12/11.43 | | Case 1:
% 73.12/11.43 | | |
% 73.12/11.43 | | | (12) all_8_15 = e3
% 73.12/11.43 | | |
% 73.12/11.43 | | | REF_CLOSE: (3), (5), (12) are inconsistent by sub-proof #84.
% 73.12/11.43 | | |
% 73.12/11.43 | | Case 2:
% 73.12/11.43 | | |
% 73.12/11.43 | | | (13) all_8_19 = e3
% 73.12/11.43 | | |
% 73.12/11.43 | | | COMBINE_EQS: (2), (13) imply:
% 73.12/11.43 | | | (14) e3 = e2
% 73.12/11.43 | | |
% 73.12/11.43 | | | REDUCE: (1), (14) imply:
% 73.12/11.43 | | | (15) $false
% 73.12/11.43 | | |
% 73.12/11.43 | | | CLOSE: (15) is inconsistent.
% 73.12/11.43 | | |
% 73.12/11.43 | | End of split
% 73.12/11.43 | |
% 73.12/11.43 | End of split
% 73.12/11.43 |
% 73.12/11.43 End of proof
% 73.12/11.43
% 73.12/11.43 Sub-proof #50 shows that the following formulas are inconsistent:
% 73.12/11.43 ----------------------------------------------------------------
% 73.12/11.43 (1) ~ (e4 = e1)
% 73.12/11.43 (2) ~ (e2 = e1)
% 73.12/11.43 (3) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.12/11.43 (4) all_8_13 = e3
% 73.12/11.43 (5) all_8_19 = e2
% 73.12/11.43 (6) all_8_14 = e0
% 73.12/11.43 (7) all_8_15 = e4
% 73.12/11.43 (8) ~ (e3 = e1)
% 73.12/11.43 (9) ~ (e1 = e0)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | BETA: splitting (3) gives:
% 73.12/11.44 |
% 73.12/11.44 | Case 1:
% 73.12/11.44 | |
% 73.12/11.44 | | (10) all_8_13 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | COMBINE_EQS: (4), (10) imply:
% 73.12/11.44 | | (11) e3 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | SIMP: (11) implies:
% 73.12/11.44 | | (12) e3 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | REDUCE: (8), (12) imply:
% 73.12/11.44 | | (13) $false
% 73.12/11.44 | |
% 73.12/11.44 | | CLOSE: (13) is inconsistent.
% 73.12/11.44 | |
% 73.12/11.44 | Case 2:
% 73.12/11.44 | |
% 73.12/11.44 | | (14) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (14) are inconsistent by sub-proof
% 73.12/11.44 | | #51.
% 73.12/11.44 | |
% 73.12/11.44 | End of split
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #51 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) ~ (e4 = e1)
% 73.12/11.44 (2) ~ (e2 = e1)
% 73.12/11.44 (3) all_8_19 = e2
% 73.12/11.44 (4) all_8_14 = e0
% 73.12/11.44 (5) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.12/11.44 (6) all_8_15 = e4
% 73.12/11.44 (7) ~ (e1 = e0)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | BETA: splitting (5) gives:
% 73.12/11.44 |
% 73.12/11.44 | Case 1:
% 73.12/11.44 | |
% 73.12/11.44 | | (8) all_8_14 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | COMBINE_EQS: (4), (8) imply:
% 73.12/11.44 | | (9) e1 = e0
% 73.12/11.44 | |
% 73.12/11.44 | | REDUCE: (7), (9) imply:
% 73.12/11.44 | | (10) $false
% 73.12/11.44 | |
% 73.12/11.44 | | CLOSE: (10) is inconsistent.
% 73.12/11.44 | |
% 73.12/11.44 | Case 2:
% 73.12/11.44 | |
% 73.12/11.44 | | (11) all_8_15 = e1 | all_8_19 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | BETA: splitting (11) gives:
% 73.12/11.44 | |
% 73.12/11.44 | | Case 1:
% 73.12/11.44 | | |
% 73.12/11.44 | | | (12) all_8_15 = e1
% 73.12/11.44 | | |
% 73.12/11.44 | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #98.
% 73.12/11.44 | | |
% 73.12/11.44 | | Case 2:
% 73.12/11.44 | | |
% 73.12/11.44 | | | (13) all_8_19 = e1
% 73.12/11.44 | | |
% 73.12/11.44 | | | COMBINE_EQS: (3), (13) imply:
% 73.12/11.44 | | | (14) e2 = e1
% 73.12/11.44 | | |
% 73.12/11.44 | | | SIMP: (14) implies:
% 73.12/11.44 | | | (15) e2 = e1
% 73.12/11.44 | | |
% 73.12/11.44 | | | REDUCE: (2), (15) imply:
% 73.12/11.44 | | | (16) $false
% 73.12/11.44 | | |
% 73.12/11.44 | | | CLOSE: (16) is inconsistent.
% 73.12/11.44 | | |
% 73.12/11.44 | | End of split
% 73.12/11.44 | |
% 73.12/11.44 | End of split
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #52 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_8_18 = all_4_22
% 73.12/11.44 (2) all_8_18 = e2
% 73.12/11.44 (3) ~ (all_4_22 = e2)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.44 | (4) all_4_22 = e2
% 73.12/11.44 |
% 73.12/11.44 | SIMP: (4) implies:
% 73.12/11.44 | (5) all_4_22 = e2
% 73.12/11.44 |
% 73.12/11.44 | REDUCE: (3), (5) imply:
% 73.12/11.44 | (6) $false
% 73.12/11.44 |
% 73.12/11.44 | CLOSE: (6) is inconsistent.
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #53 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_6_20 = all_4_4
% 73.12/11.44 (2) ~ (all_4_4 = e0)
% 73.12/11.44 (3) ~ (all_4_4 = e1)
% 73.12/11.44 (4) ~ (all_4_4 = e3)
% 73.12/11.44 (5) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | BETA: splitting (5) gives:
% 73.12/11.44 |
% 73.12/11.44 | Case 1:
% 73.12/11.44 | |
% 73.12/11.44 | | (6) all_6_20 = e1
% 73.12/11.44 | |
% 73.12/11.44 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #55.
% 73.12/11.44 | |
% 73.12/11.44 | Case 2:
% 73.12/11.44 | |
% 73.12/11.44 | | (7) all_6_20 = e3 | all_6_20 = e0
% 73.12/11.44 | |
% 73.12/11.44 | | BETA: splitting (7) gives:
% 73.12/11.44 | |
% 73.12/11.44 | | Case 1:
% 73.12/11.44 | | |
% 73.12/11.44 | | | (8) all_6_20 = e3
% 73.12/11.44 | | |
% 73.12/11.44 | | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #54.
% 73.12/11.44 | | |
% 73.12/11.44 | | Case 2:
% 73.12/11.44 | | |
% 73.12/11.44 | | | (9) all_6_20 = e0
% 73.12/11.44 | | |
% 73.12/11.44 | | | COMBINE_EQS: (1), (9) imply:
% 73.12/11.44 | | | (10) all_4_4 = e0
% 73.12/11.44 | | |
% 73.12/11.44 | | | SIMP: (10) implies:
% 73.12/11.44 | | | (11) all_4_4 = e0
% 73.12/11.44 | | |
% 73.12/11.44 | | | REDUCE: (2), (11) imply:
% 73.12/11.44 | | | (12) $false
% 73.12/11.44 | | |
% 73.12/11.44 | | | CLOSE: (12) is inconsistent.
% 73.12/11.44 | | |
% 73.12/11.44 | | End of split
% 73.12/11.44 | |
% 73.12/11.44 | End of split
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #54 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_6_20 = all_4_4
% 73.12/11.44 (2) all_6_20 = e3
% 73.12/11.44 (3) ~ (all_4_4 = e3)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.44 | (4) all_4_4 = e3
% 73.12/11.44 |
% 73.12/11.44 | SIMP: (4) implies:
% 73.12/11.44 | (5) all_4_4 = e3
% 73.12/11.44 |
% 73.12/11.44 | REDUCE: (3), (5) imply:
% 73.12/11.44 | (6) $false
% 73.12/11.44 |
% 73.12/11.44 | CLOSE: (6) is inconsistent.
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #55 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_6_20 = all_4_4
% 73.12/11.44 (2) all_6_20 = e1
% 73.12/11.44 (3) ~ (all_4_4 = e1)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.44 | (4) all_4_4 = e1
% 73.12/11.44 |
% 73.12/11.44 | SIMP: (4) implies:
% 73.12/11.44 | (5) all_4_4 = e1
% 73.12/11.44 |
% 73.12/11.44 | REDUCE: (3), (5) imply:
% 73.12/11.44 | (6) $false
% 73.12/11.44 |
% 73.12/11.44 | CLOSE: (6) is inconsistent.
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #56 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_6_20 = all_4_4
% 73.12/11.44 (2) all_6_20 = e4
% 73.12/11.44 (3) ~ (all_4_4 = e4)
% 73.12/11.44
% 73.12/11.44 Begin of proof
% 73.12/11.44 |
% 73.12/11.44 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.44 | (4) all_4_4 = e4
% 73.12/11.44 |
% 73.12/11.44 | SIMP: (4) implies:
% 73.12/11.44 | (5) all_4_4 = e4
% 73.12/11.44 |
% 73.12/11.44 | REDUCE: (3), (5) imply:
% 73.12/11.44 | (6) $false
% 73.12/11.44 |
% 73.12/11.44 | CLOSE: (6) is inconsistent.
% 73.12/11.44 |
% 73.12/11.44 End of proof
% 73.12/11.44
% 73.12/11.44 Sub-proof #57 shows that the following formulas are inconsistent:
% 73.12/11.44 ----------------------------------------------------------------
% 73.12/11.44 (1) all_6_22 = all_4_14
% 73.12/11.45 (2) ~ (all_4_14 = e0)
% 73.12/11.45 (3) ~ (all_4_14 = e3)
% 73.12/11.45 (4) ~ (all_4_14 = e4)
% 73.12/11.45 (5) ~ (all_4_14 = e1)
% 73.12/11.45 (6) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.12/11.45
% 73.12/11.45 Begin of proof
% 73.12/11.45 |
% 73.12/11.45 | BETA: splitting (6) gives:
% 73.12/11.45 |
% 73.12/11.45 | Case 1:
% 73.12/11.45 | |
% 73.12/11.45 | | (7) all_6_22 = e4
% 73.12/11.45 | |
% 73.12/11.45 | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #68.
% 73.12/11.45 | |
% 73.12/11.45 | Case 2:
% 73.12/11.45 | |
% 73.12/11.45 | | (8) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.12/11.45 | |
% 73.12/11.45 | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #85.
% 73.12/11.45 | |
% 73.12/11.45 | End of split
% 73.12/11.45 |
% 73.12/11.45 End of proof
% 73.12/11.45
% 73.12/11.45 Sub-proof #58 shows that the following formulas are inconsistent:
% 73.12/11.45 ----------------------------------------------------------------
% 73.12/11.45 (1) all_10_3 = e1 & ~ (unit = e0)
% 73.12/11.45 (2) all_10_3 = all_4_20
% 73.12/11.45 (3) ~ (all_4_20 = e1)
% 73.12/11.45
% 73.12/11.45 Begin of proof
% 73.12/11.45 |
% 73.12/11.45 | ALPHA: (1) implies:
% 73.12/11.45 | (4) all_10_3 = e1
% 73.12/11.45 |
% 73.12/11.45 | COMBINE_EQS: (2), (4) imply:
% 73.12/11.45 | (5) all_4_20 = e1
% 73.12/11.45 |
% 73.12/11.45 | REDUCE: (3), (5) imply:
% 73.12/11.45 | (6) $false
% 73.12/11.45 |
% 73.12/11.45 | CLOSE: (6) is inconsistent.
% 73.12/11.45 |
% 73.12/11.45 End of proof
% 73.12/11.45
% 73.12/11.45 Sub-proof #59 shows that the following formulas are inconsistent:
% 73.12/11.45 ----------------------------------------------------------------
% 73.12/11.45 (1) ~ (e4 = e1)
% 73.12/11.45 (2) all_8_15 = e1 | all_8_23 = e1
% 73.12/11.45 (3) all_8_15 = e4
% 73.12/11.45 (4) ~ (e1 = e0)
% 73.12/11.45 (5) all_8_23 = e0
% 73.12/11.45
% 73.12/11.45 Begin of proof
% 73.12/11.45 |
% 73.12/11.45 | BETA: splitting (2) gives:
% 73.12/11.45 |
% 73.12/11.45 | Case 1:
% 73.12/11.45 | |
% 73.12/11.45 | | (6) all_8_15 = e1
% 73.12/11.45 | |
% 73.12/11.45 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #98.
% 73.12/11.45 | |
% 73.12/11.45 | Case 2:
% 73.12/11.45 | |
% 73.12/11.45 | | (7) all_8_23 = e1
% 73.12/11.45 | |
% 73.12/11.45 | | COMBINE_EQS: (5), (7) imply:
% 73.12/11.45 | | (8) e1 = e0
% 73.12/11.45 | |
% 73.12/11.45 | | REDUCE: (4), (8) imply:
% 73.12/11.45 | | (9) $false
% 73.12/11.45 | |
% 73.12/11.45 | | CLOSE: (9) is inconsistent.
% 73.12/11.45 | |
% 73.12/11.45 | End of split
% 73.12/11.45 |
% 73.12/11.45 End of proof
% 73.12/11.45
% 73.12/11.45 Sub-proof #60 shows that the following formulas are inconsistent:
% 73.12/11.45 ----------------------------------------------------------------
% 73.12/11.45 (1) all_8_9 = all_4_15
% 73.12/11.45 (2) all_8_9 = e0
% 73.12/11.45 (3) ~ (all_4_15 = e0)
% 73.12/11.45
% 73.12/11.45 Begin of proof
% 73.12/11.45 |
% 73.12/11.45 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.45 | (4) all_4_15 = e0
% 73.12/11.45 |
% 73.12/11.45 | SIMP: (4) implies:
% 73.12/11.45 | (5) all_4_15 = e0
% 73.12/11.45 |
% 73.12/11.45 | REDUCE: (3), (5) imply:
% 73.12/11.45 | (6) $false
% 73.12/11.45 |
% 73.12/11.45 | CLOSE: (6) is inconsistent.
% 73.12/11.45 |
% 73.12/11.45 End of proof
% 73.12/11.45
% 73.12/11.45 Sub-proof #61 shows that the following formulas are inconsistent:
% 73.12/11.45 ----------------------------------------------------------------
% 73.12/11.45 (1) ( ~ (all_10_0 = e2) | (all_10_1 = e3 & ~ (unit = e2))) & ( ~ (all_10_1 =
% 73.12/11.45 e2) | ~ (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & ~
% 73.12/11.45 (unit = e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 & ~ (unit =
% 73.12/11.45 e2))) & ( ~ (all_10_4 = e2) | (all_10_5 = e4 & ~ (unit = e2))) & (
% 73.12/11.45 ~ (all_10_5 = e2) | ~ (unit = e2)) & ( ~ (all_10_6 = e2) | (all_10_5 =
% 73.12/11.45 e1 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_5 = e0 & ~
% 73.12/11.45 (unit = e2))) & ( ~ (all_10_8 = e2) | (all_10_22 = e4 & ~ (unit =
% 73.12/11.45 e2))) & ( ~ (all_10_9 = e2) | (all_10_22 = e3 & ~ (unit = e2))) &
% 73.12/11.45 ( ~ (all_10_10 = e2) | (all_10_22 = e1 & ~ (unit = e2))) & ( ~
% 73.12/11.45 (all_10_11 = e2) | (all_10_22 = e0 & ~ (unit = e2))) & ( ~ (all_10_12
% 73.12/11.45 = e2) | (all_10_14 = e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 73.12/11.45 (all_10_14 = e3 & ~ (unit = e2))) & ( ~ (all_10_14 = e2) | ~ (unit =
% 73.12/11.45 e2)) & ( ~ (all_10_15 = e2) | (all_10_14 = e0 & ~ (unit = e2))) & (
% 73.12/11.45 ~ (all_10_16 = e2) | (all_10_18 = e4 & ~ (unit = e2))) & ( ~
% 73.12/11.45 (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit = e2))) & ( ~ (all_10_18
% 73.12/11.45 = e2) | ~ (unit = e2)) & ( ~ (all_10_19 = e2) | (all_10_18 = e1 & ~
% 73.12/11.45 (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_1 = e4 & ~ (unit =
% 73.12/11.45 e2))) & ( ~ (all_10_21 = e2) | (all_10_5 = e3 & ~ (unit = e2))) &
% 73.12/11.45 ( ~ (all_10_22 = e2) | ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 73.12/11.45 (all_10_14 = e1 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_18
% 73.12/11.45 = e0 & ~ (unit = e2)))
% 73.12/11.45 (2) all_10_17 = e2
% 73.12/11.45 (3) all_10_18 = e4
% 73.12/11.45 (4) ~ (e4 = e3)
% 73.12/11.45
% 73.12/11.45 Begin of proof
% 73.12/11.45 |
% 73.12/11.45 | ALPHA: (1) implies:
% 73.12/11.45 | (5) ~ (all_10_17 = e2) | (all_10_18 = e3 & ~ (unit = e2))
% 73.12/11.45 |
% 73.12/11.45 | BETA: splitting (5) gives:
% 73.12/11.45 |
% 73.12/11.45 | Case 1:
% 73.12/11.45 | |
% 73.12/11.45 | | (6) ~ (all_10_17 = e2)
% 73.12/11.45 | |
% 73.12/11.45 | | REDUCE: (2), (6) imply:
% 73.12/11.45 | | (7) $false
% 73.12/11.45 | |
% 73.12/11.45 | | CLOSE: (7) is inconsistent.
% 73.12/11.45 | |
% 73.12/11.45 | Case 2:
% 73.12/11.45 | |
% 73.12/11.45 | | (8) all_10_18 = e3 & ~ (unit = e2)
% 73.12/11.45 | |
% 73.12/11.45 | | ALPHA: (8) implies:
% 73.12/11.45 | | (9) all_10_18 = e3
% 73.12/11.45 | |
% 73.12/11.45 | | COMBINE_EQS: (3), (9) imply:
% 73.12/11.45 | | (10) e4 = e3
% 73.12/11.45 | |
% 73.12/11.45 | | SIMP: (10) implies:
% 73.12/11.45 | | (11) e4 = e3
% 73.12/11.45 | |
% 73.12/11.45 | | REDUCE: (4), (11) imply:
% 73.12/11.45 | | (12) $false
% 73.12/11.45 | |
% 73.12/11.45 | | CLOSE: (12) is inconsistent.
% 73.12/11.45 | |
% 73.12/11.45 | End of split
% 73.12/11.45 |
% 73.12/11.45 End of proof
% 73.12/11.45
% 73.12/11.45 Sub-proof #62 shows that the following formulas are inconsistent:
% 73.12/11.45 ----------------------------------------------------------------
% 73.12/11.45 (1) ~ (all_4_7 = e2)
% 73.12/11.45 (2) ~ (all_4_4 = e2)
% 73.12/11.45 (3) all_10_16 = all_4_4
% 73.12/11.46 (4) (( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & ( ~ (all_10_1
% 73.12/11.46 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 73.12/11.46 (all_10_20 = e1 & ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_20
% 73.12/11.46 = e0 & ~ (unit = e4))) & ( ~ (all_10_4 = e4) | ~ (unit = e4)) & (
% 73.12/11.46 ~ (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_6
% 73.12/11.46 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.12/11.46 (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 73.12/11.46 e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 & ~ (unit = e4))) & (
% 73.12/11.46 ~ (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit = e4))) & ( ~
% 73.12/11.46 (all_10_11 = e4) | (all_10_8 = e0 & ~ (unit = e4))) & ( ~ (all_10_12
% 73.12/11.46 = e4) | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3 &
% 73.12/11.46 ~ (unit = e4))) & ( ~ (all_10_14 = e4) | (all_10_12 = e2 & ~ (unit
% 73.12/11.46 = e4))) & ( ~ (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 73.12/11.46 e4))) & ( ~ (all_10_16 = e4) | ~ (unit = e4)) & ( ~ (all_10_17 =
% 73.12/11.46 e4) | (all_10_16 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 73.12/11.46 (all_10_16 = e2 & ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 73.12/11.46 (all_10_16 = e1 & ~ (unit = e4))) & ( ~ (all_10_20 = e4) | ~ (unit
% 73.12/11.46 = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 & ~ (unit = e4))) &
% 73.12/11.46 ( ~ (all_10_22 = e4) | (all_10_8 = e2 & ~ (unit = e4))) & ( ~
% 73.12/11.46 (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit = e4))) & ( ~
% 73.12/11.46 (all_10_24 = e4) | (all_10_16 = e0 & ~ (unit = e4)))) | (( ~
% 73.12/11.46 (all_10_0 = e3) | ~ (unit = e3)) & ( ~ (all_10_1 = e3) | (all_10_0 =
% 73.12/11.46 e2 & ~ (unit = e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1 & ~
% 73.12/11.46 (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_0 = e0 & ~ (unit =
% 73.12/11.46 e3))) & ( ~ (all_10_4 = e3) | (all_10_21 = e4 & ~ (unit = e3)))
% 73.12/11.46 & ( ~ (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit = e3))) & ( ~
% 73.12/11.46 (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_7
% 73.12/11.46 = e3) | (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 73.12/11.46 (all_10_9 = e4 & ~ (unit = e3))) & ( ~ (all_10_9 = e3) | ~ (unit =
% 73.12/11.46 e3)) & ( ~ (all_10_10 = e3) | (all_10_9 = e1 & ~ (unit = e3))) & (
% 73.12/11.46 ~ (all_10_11 = e3) | (all_10_9 = e0 & ~ (unit = e3))) & ( ~
% 73.12/11.46 (all_10_12 = e3) | (all_10_13 = e4 & ~ (unit = e3))) & ( ~
% 73.12/11.46 (all_10_13 = e3) | ~ (unit = e3)) & ( ~ (all_10_14 = e3) |
% 73.12/11.46 (all_10_13 = e2 & ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 73.12/11.46 (all_10_13 = e0 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) |
% 73.12/11.46 (all_10_17 = e4 & ~ (unit = e3))) & ( ~ (all_10_17 = e3) | ~ (unit
% 73.12/11.46 = e3)) & ( ~ (all_10_18 = e3) | (all_10_17 = e2 & ~ (unit = e3)))
% 73.12/11.46 & ( ~ (all_10_19 = e3) | (all_10_17 = e1 & ~ (unit = e3))) & ( ~
% 73.12/11.46 (all_10_20 = e3) | (all_10_0 = e4 & ~ (unit = e3))) & ( ~ (all_10_21
% 73.12/11.46 = e3) | ~ (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 &
% 73.12/11.46 ~ (unit = e3))) & ( ~ (all_10_23 = e3) | (all_10_13 = e1 & ~ (unit
% 73.12/11.46 = e3))) & ( ~ (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit =
% 73.12/11.46 e3))))
% 73.12/11.46 (5) all_10_22 = e3
% 73.12/11.46 (6) all_10_9 = all_4_7
% 73.12/11.46 (7) all_10_18 = e4
% 73.12/11.46
% 73.12/11.46 Begin of proof
% 73.12/11.46 |
% 73.12/11.46 | BETA: splitting (4) gives:
% 73.12/11.46 |
% 73.12/11.46 | Case 1:
% 73.12/11.46 | |
% 73.12/11.46 | | (8) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & ( ~
% 73.12/11.46 | | (all_10_1 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~
% 73.12/11.46 | | (all_10_2 = e4) | (all_10_20 = e1 & ~ (unit = e4))) & ( ~
% 73.12/11.46 | | (all_10_3 = e4) | (all_10_20 = e0 & ~ (unit = e4))) & ( ~
% 73.12/11.46 | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_5 = e4) | (all_10_4
% 73.12/11.46 | | = e2 & ~ (unit = e4))) & ( ~ (all_10_6 = e4) | (all_10_4 = e1 &
% 73.12/11.46 | | ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_4 = e0 & ~ (unit
% 73.12/11.46 | | = e4))) & ( ~ (all_10_8 = e4) | ~ (unit = e4)) & ( ~ (all_10_9
% 73.12/11.46 | | = e4) | (all_10_8 = e3 & ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 73.12/11.46 | | | (all_10_8 = e1 & ~ (unit = e4))) & ( ~ (all_10_11 = e4) |
% 73.12/11.46 | | (all_10_8 = e0 & ~ (unit = e4))) & ( ~ (all_10_12 = e4) | ~ (unit
% 73.12/11.46 | | = e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_14 = e4) | (all_10_12 = e2 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_16 = e4) | ~ (unit = e4)) & ( ~ (all_10_17
% 73.12/11.46 | | = e4) | (all_10_16 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 73.12/11.46 | | | (all_10_16 = e2 & ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 73.12/11.46 | | (all_10_16 = e1 & ~ (unit = e4))) & ( ~ (all_10_20 = e4) | ~
% 73.12/11.46 | | (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_4 = e3 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_22 = e4) | (all_10_8 = e2 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_23 = e4) | (all_10_12 = e1 & ~ (unit =
% 73.12/11.46 | | e4))) & ( ~ (all_10_24 = e4) | (all_10_16 = e0 & ~ (unit =
% 73.12/11.46 | | e4)))
% 73.12/11.46 | |
% 73.12/11.46 | | REF_CLOSE: (2), (3), (7), (8) are inconsistent by sub-proof #63.
% 73.12/11.46 | |
% 73.12/11.46 | Case 2:
% 73.12/11.46 | |
% 73.12/11.46 | | (9) ( ~ (all_10_0 = e3) | ~ (unit = e3)) & ( ~ (all_10_1 = e3) |
% 73.12/11.46 | | (all_10_0 = e2 & ~ (unit = e3))) & ( ~ (all_10_2 = e3) | (all_10_0
% 73.12/11.46 | | = e1 & ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_0 = e0 &
% 73.12/11.46 | | ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_21 = e4 & ~
% 73.12/11.46 | | (unit = e3))) & ( ~ (all_10_5 = e3) | (all_10_21 = e2 & ~ (unit
% 73.12/11.46 | | = e3))) & ( ~ (all_10_6 = e3) | (all_10_21 = e1 & ~ (unit =
% 73.12/11.46 | | e3))) & ( ~ (all_10_7 = e3) | (all_10_21 = e0 & ~ (unit =
% 73.12/11.46 | | e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e4 & ~ (unit = e3)))
% 73.12/11.46 | | & ( ~ (all_10_9 = e3) | ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 73.12/11.46 | | (all_10_9 = e1 & ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 73.12/11.46 | | (all_10_9 = e0 & ~ (unit = e3))) & ( ~ (all_10_12 = e3) |
% 73.12/11.46 | | (all_10_13 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | ~
% 73.12/11.46 | | (unit = e3)) & ( ~ (all_10_14 = e3) | (all_10_13 = e2 & ~ (unit =
% 73.12/11.46 | | e3))) & ( ~ (all_10_15 = e3) | (all_10_13 = e0 & ~ (unit =
% 73.12/11.46 | | e3))) & ( ~ (all_10_16 = e3) | (all_10_17 = e4 & ~ (unit =
% 73.12/11.46 | | e3))) & ( ~ (all_10_17 = e3) | ~ (unit = e3)) & ( ~ (all_10_18
% 73.12/11.46 | | = e3) | (all_10_17 = e2 & ~ (unit = e3))) & ( ~ (all_10_19 = e3)
% 73.12/11.46 | | | (all_10_17 = e1 & ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 73.12/11.46 | | (all_10_0 = e4 & ~ (unit = e3))) & ( ~ (all_10_21 = e3) | ~ (unit
% 73.12/11.46 | | = e3)) & ( ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit = e3)))
% 73.12/11.46 | | & ( ~ (all_10_23 = e3) | (all_10_13 = e1 & ~ (unit = e3))) & ( ~
% 73.12/11.46 | | (all_10_24 = e3) | (all_10_17 = e0 & ~ (unit = e3)))
% 73.12/11.46 | |
% 73.12/11.46 | | ALPHA: (9) implies:
% 73.12/11.47 | | (10) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit = e3))
% 73.12/11.47 | |
% 73.12/11.47 | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #111.
% 73.12/11.47 | |
% 73.12/11.47 | End of split
% 73.12/11.47 |
% 73.12/11.47 End of proof
% 73.12/11.47
% 73.12/11.47 Sub-proof #63 shows that the following formulas are inconsistent:
% 73.12/11.47 ----------------------------------------------------------------
% 73.12/11.47 (1) ( ~ (all_10_0 = e4) | (all_10_20 = e3 & ~ (unit = e4))) & ( ~ (all_10_1
% 73.12/11.47 = e4) | (all_10_20 = e2 & ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 73.12/11.47 (all_10_20 = e1 & ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_20 =
% 73.12/11.47 e0 & ~ (unit = e4))) & ( ~ (all_10_4 = e4) | ~ (unit = e4)) & ( ~
% 73.12/11.47 (all_10_5 = e4) | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_6 =
% 73.12/11.47 e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.12/11.47 (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_8 = e4) | ~ (unit =
% 73.12/11.47 e4)) & ( ~ (all_10_9 = e4) | (all_10_8 = e3 & ~ (unit = e4))) & ( ~
% 73.12/11.47 (all_10_10 = e4) | (all_10_8 = e1 & ~ (unit = e4))) & ( ~ (all_10_11 =
% 73.12/11.47 e4) | (all_10_8 = e0 & ~ (unit = e4))) & ( ~ (all_10_12 = e4) | ~
% 73.12/11.47 (unit = e4)) & ( ~ (all_10_13 = e4) | (all_10_12 = e3 & ~ (unit =
% 73.12/11.47 e4))) & ( ~ (all_10_14 = e4) | (all_10_12 = e2 & ~ (unit = e4))) &
% 73.12/11.47 ( ~ (all_10_15 = e4) | (all_10_12 = e0 & ~ (unit = e4))) & ( ~
% 73.12/11.47 (all_10_16 = e4) | ~ (unit = e4)) & ( ~ (all_10_17 = e4) | (all_10_16
% 73.12/11.47 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) | (all_10_16 = e2 & ~
% 73.12/11.47 (unit = e4))) & ( ~ (all_10_19 = e4) | (all_10_16 = e1 & ~ (unit =
% 73.12/11.47 e4))) & ( ~ (all_10_20 = e4) | ~ (unit = e4)) & ( ~ (all_10_21 =
% 73.12/11.47 e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 73.12/11.47 (all_10_8 = e2 & ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_12 =
% 73.12/11.47 e1 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_16 = e0 & ~
% 73.12/11.47 (unit = e4)))
% 73.12/11.47 (2) all_10_18 = e4
% 73.12/11.47 (3) all_10_16 = all_4_4
% 73.12/11.47 (4) ~ (all_4_4 = e2)
% 73.12/11.47
% 73.12/11.47 Begin of proof
% 73.12/11.47 |
% 73.12/11.47 | ALPHA: (1) implies:
% 73.12/11.47 | (5) ~ (all_10_18 = e4) | (all_10_16 = e2 & ~ (unit = e4))
% 73.12/11.47 |
% 73.12/11.47 | BETA: splitting (5) gives:
% 73.12/11.47 |
% 73.12/11.47 | Case 1:
% 73.12/11.47 | |
% 73.12/11.47 | | (6) ~ (all_10_18 = e4)
% 73.12/11.47 | |
% 73.12/11.47 | | REDUCE: (2), (6) imply:
% 73.12/11.47 | | (7) $false
% 73.12/11.47 | |
% 73.12/11.47 | | CLOSE: (7) is inconsistent.
% 73.12/11.47 | |
% 73.12/11.47 | Case 2:
% 73.12/11.47 | |
% 73.12/11.47 | | (8) all_10_16 = e2 & ~ (unit = e4)
% 73.12/11.47 | |
% 73.12/11.47 | | ALPHA: (8) implies:
% 73.12/11.47 | | (9) all_10_16 = e2
% 73.12/11.47 | |
% 73.12/11.47 | | COMBINE_EQS: (3), (9) imply:
% 73.12/11.47 | | (10) all_4_4 = e2
% 73.12/11.47 | |
% 73.12/11.47 | | REDUCE: (4), (10) imply:
% 73.12/11.47 | | (11) $false
% 73.12/11.47 | |
% 73.12/11.47 | | CLOSE: (11) is inconsistent.
% 73.12/11.47 | |
% 73.12/11.47 | End of split
% 73.12/11.47 |
% 73.12/11.47 End of proof
% 73.12/11.47
% 73.12/11.47 Sub-proof #64 shows that the following formulas are inconsistent:
% 73.12/11.47 ----------------------------------------------------------------
% 73.12/11.47 (1) all_8_11 = e2
% 73.12/11.47 (2) all_8_11 = e1
% 73.12/11.47 (3) ~ (e2 = e1)
% 73.12/11.47
% 73.12/11.47 Begin of proof
% 73.12/11.47 |
% 73.12/11.47 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.47 | (4) e2 = e1
% 73.12/11.47 |
% 73.12/11.47 | SIMP: (4) implies:
% 73.12/11.47 | (5) e2 = e1
% 73.12/11.47 |
% 73.12/11.47 | REDUCE: (3), (5) imply:
% 73.12/11.47 | (6) $false
% 73.12/11.47 |
% 73.12/11.47 | CLOSE: (6) is inconsistent.
% 73.12/11.47 |
% 73.12/11.47 End of proof
% 73.12/11.47
% 73.12/11.47 Sub-proof #65 shows that the following formulas are inconsistent:
% 73.12/11.47 ----------------------------------------------------------------
% 73.12/11.47 (1) all_8_9 = all_4_15
% 73.12/11.47 (2) all_8_9 = e1
% 73.12/11.47 (3) ~ (all_4_15 = e1)
% 73.12/11.47
% 73.12/11.47 Begin of proof
% 73.12/11.47 |
% 73.12/11.47 | COMBINE_EQS: (1), (2) imply:
% 73.12/11.47 | (4) all_4_15 = e1
% 73.12/11.47 |
% 73.12/11.47 | SIMP: (4) implies:
% 73.12/11.47 | (5) all_4_15 = e1
% 73.12/11.47 |
% 73.12/11.47 | REDUCE: (3), (5) imply:
% 73.12/11.47 | (6) $false
% 73.12/11.47 |
% 73.12/11.47 | CLOSE: (6) is inconsistent.
% 73.12/11.47 |
% 73.12/11.47 End of proof
% 73.12/11.47
% 73.12/11.47 Sub-proof #66 shows that the following formulas are inconsistent:
% 73.12/11.47 ----------------------------------------------------------------
% 73.12/11.47 (1) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 73.12/11.47 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.12/11.47 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.12/11.47 (3) op(e0, e2) = all_4_14
% 73.12/11.47 (4) op(unit, e2) = e2
% 73.12/11.47 (5) all_6_22 = all_4_14
% 73.12/11.47 (6) ~ (all_4_14 = e0)
% 73.12/11.47 (7) op(e1, e2) = e0
% 73.12/11.47 (8) ~ (all_4_5 = e4)
% 73.12/11.47 (9) ~ (all_4_14 = e3)
% 73.12/11.47 (10) all_6_1 = all_4_5
% 73.36/11.47 (11) op(e1, unit) = e1
% 73.36/11.47 (12) op(unit, e3) = e3
% 73.36/11.47 (13) ~ (all_4_14 = e4)
% 73.36/11.47 (14) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 73.36/11.47 (15) all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 73.36/11.47 e0
% 73.36/11.47 (16) all_8_1 = all_4_5
% 73.36/11.47 (17) ~ (all_4_5 = e2)
% 73.36/11.47 (18) op(e4, e3) = all_4_5
% 73.36/11.47 (19) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.36/11.47 (20) op(e3, unit) = e3
% 73.36/11.47 (21) ~ (all_4_5 = e3)
% 73.36/11.47 (22) op(e3, e3) = e1
% 73.36/11.47 (23) ~ (all_4_5 = e1)
% 73.36/11.47 (24) ~ (all_4_14 = e2)
% 73.36/11.47
% 73.36/11.47 Begin of proof
% 73.36/11.47 |
% 73.36/11.47 | SIMP: (13) implies:
% 73.36/11.47 | (25) ~ (all_4_14 = e4)
% 73.36/11.47 |
% 73.36/11.47 | BETA: splitting (1) gives:
% 73.36/11.47 |
% 73.36/11.47 | Case 1:
% 73.36/11.47 | |
% 73.36/11.47 | | (26) all_6_1 = e2
% 73.36/11.47 | |
% 73.36/11.47 | | COMBINE_EQS: (10), (26) imply:
% 73.36/11.47 | | (27) all_4_5 = e2
% 73.36/11.47 | |
% 73.36/11.47 | | REDUCE: (17), (27) imply:
% 73.36/11.47 | | (28) $false
% 73.36/11.47 | |
% 73.36/11.47 | | CLOSE: (28) is inconsistent.
% 73.36/11.47 | |
% 73.36/11.47 | Case 2:
% 73.36/11.47 | |
% 73.36/11.48 | | (29) ~ (all_6_1 = e2)
% 73.36/11.48 | | (30) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.36/11.48 | |
% 73.36/11.48 | | BETA: splitting (19) gives:
% 73.36/11.48 | |
% 73.36/11.48 | | Case 1:
% 73.36/11.48 | | |
% 73.36/11.48 | | | (31) all_6_22 = e4
% 73.36/11.48 | | |
% 73.36/11.48 | | | REF_CLOSE: (5), (25), (31) are inconsistent by sub-proof #68.
% 73.36/11.48 | | |
% 73.36/11.48 | | Case 2:
% 73.36/11.48 | | |
% 73.36/11.48 | | | (32) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.36/11.48 | | |
% 73.36/11.48 | | | BETA: splitting (15) gives:
% 73.36/11.48 | | |
% 73.36/11.48 | | | Case 1:
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | (33) all_8_1 = e0
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | COMBINE_EQS: (16), (33) imply:
% 73.36/11.48 | | | | (34) all_4_5 = e0
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | SIMP: (34) implies:
% 73.36/11.48 | | | | (35) all_4_5 = e0
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | REDUCE: (21), (35) imply:
% 73.36/11.48 | | | | (36) ~ (e3 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | SIMP: (36) implies:
% 73.36/11.48 | | | | (37) ~ (e3 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | REDUCE: (17), (35) imply:
% 73.36/11.48 | | | | (38) ~ (e2 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | SIMP: (38) implies:
% 73.36/11.48 | | | | (39) ~ (e2 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | REDUCE: (18), (35) imply:
% 73.36/11.48 | | | | (40) op(e4, e3) = e0
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | BETA: splitting (32) gives:
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | Case 1:
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | (41) all_6_22 = e1
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | COMBINE_EQS: (5), (41) imply:
% 73.36/11.48 | | | | | (42) all_4_14 = e1
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | SIMP: (42) implies:
% 73.36/11.48 | | | | | (43) all_4_14 = e1
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | REDUCE: (24), (43) imply:
% 73.36/11.48 | | | | | (44) ~ (e2 = e1)
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | SIMP: (44) implies:
% 73.36/11.48 | | | | | (45) ~ (e2 = e1)
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | REDUCE: (6), (43) imply:
% 73.36/11.48 | | | | | (46) ~ (e1 = e0)
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | REDUCE: (3), (43) imply:
% 73.36/11.48 | | | | | (47) op(e0, e2) = e1
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | BETA: splitting (14) gives:
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | Case 1:
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | | (48) unit = e2
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | | REF_CLOSE: (2), (7), (11), (46), (48) are inconsistent by sub-proof
% 73.36/11.48 | | | | | | #112.
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | Case 2:
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | | (49) unit = e4 | unit = e3 | unit = e1 | unit = e0
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | | BETA: splitting (49) gives:
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | | Case 1:
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | (50) unit = e4
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | REDUCE: (12), (50) imply:
% 73.36/11.48 | | | | | | | (51) op(e4, e3) = e3
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | GROUND_INST: instantiating (2) with e0, e3, e3, e4, simplifying
% 73.36/11.48 | | | | | | | with (40), (51) gives:
% 73.36/11.48 | | | | | | | (52) e3 = e0
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | REDUCE: (37), (52) imply:
% 73.36/11.48 | | | | | | | (53) $false
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | CLOSE: (53) is inconsistent.
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | Case 2:
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | (54) unit = e3 | unit = e1 | unit = e0
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | BETA: splitting (54) gives:
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | | Case 1:
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | | (55) unit = e1
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | | REF_CLOSE: (2), (4), (7), (39), (55) are inconsistent by
% 73.36/11.48 | | | | | | | | sub-proof #91.
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | Case 2:
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | | (56) ~ (unit = e1)
% 73.36/11.48 | | | | | | | | (57) unit = e3 | unit = e0
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | | BETA: splitting (57) gives:
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | | Case 1:
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | (58) unit = e3
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | REDUCE: (56), (58) imply:
% 73.36/11.48 | | | | | | | | | (59) ~ (e3 = e1)
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | REDUCE: (20), (58) imply:
% 73.36/11.48 | | | | | | | | | (60) op(e3, e3) = e3
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | GROUND_INST: instantiating (2) with e1, e3, e3, e3, simplifying
% 73.36/11.48 | | | | | | | | | with (22), (60) gives:
% 73.36/11.48 | | | | | | | | | (61) e3 = e1
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | REDUCE: (59), (61) imply:
% 73.36/11.48 | | | | | | | | | (62) $false
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | CLOSE: (62) is inconsistent.
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | Case 2:
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | (63) unit = e0
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | REDUCE: (4), (63) imply:
% 73.36/11.48 | | | | | | | | | (64) op(e0, e2) = e2
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | GROUND_INST: instantiating (2) with e1, e2, e2, e0, simplifying
% 73.36/11.48 | | | | | | | | | with (47), (64) gives:
% 73.36/11.48 | | | | | | | | | (65) e2 = e1
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | REDUCE: (45), (65) imply:
% 73.36/11.48 | | | | | | | | | (66) $false
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | | CLOSE: (66) is inconsistent.
% 73.36/11.48 | | | | | | | | |
% 73.36/11.48 | | | | | | | | End of split
% 73.36/11.48 | | | | | | | |
% 73.36/11.48 | | | | | | | End of split
% 73.36/11.48 | | | | | | |
% 73.36/11.48 | | | | | | End of split
% 73.36/11.48 | | | | | |
% 73.36/11.48 | | | | | End of split
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | Case 2:
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | (67) all_6_22 = e3 | all_6_22 = e0
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | | REF_CLOSE: (5), (6), (9), (67) are inconsistent by sub-proof #86.
% 73.36/11.48 | | | | |
% 73.36/11.48 | | | | End of split
% 73.36/11.48 | | | |
% 73.36/11.48 | | | Case 2:
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | (68) ~ (all_8_1 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | REDUCE: (16), (68) imply:
% 73.36/11.48 | | | | (69) ~ (all_4_5 = e0)
% 73.36/11.48 | | | |
% 73.36/11.48 | | | | REF_CLOSE: (8), (10), (21), (23), (30), (69) are inconsistent by
% 73.36/11.48 | | | | sub-proof #67.
% 73.36/11.48 | | | |
% 73.36/11.48 | | | End of split
% 73.36/11.48 | | |
% 73.36/11.48 | | End of split
% 73.36/11.48 | |
% 73.36/11.48 | End of split
% 73.36/11.48 |
% 73.36/11.48 End of proof
% 73.36/11.48
% 73.36/11.48 Sub-proof #67 shows that the following formulas are inconsistent:
% 73.36/11.48 ----------------------------------------------------------------
% 73.36/11.48 (1) ~ (all_4_5 = e0)
% 73.36/11.48 (2) ~ (all_4_5 = e4)
% 73.36/11.48 (3) all_6_1 = all_4_5
% 73.36/11.48 (4) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.36/11.48 (5) ~ (all_4_5 = e3)
% 73.36/11.48 (6) ~ (all_4_5 = e1)
% 73.36/11.48
% 73.36/11.48 Begin of proof
% 73.36/11.48 |
% 73.36/11.48 | BETA: splitting (4) gives:
% 73.36/11.48 |
% 73.36/11.48 | Case 1:
% 73.36/11.48 | |
% 73.36/11.48 | | (7) all_6_1 = e4
% 73.36/11.48 | |
% 73.36/11.48 | | COMBINE_EQS: (3), (7) imply:
% 73.36/11.48 | | (8) all_4_5 = e4
% 73.36/11.48 | |
% 73.36/11.48 | | SIMP: (8) implies:
% 73.36/11.48 | | (9) all_4_5 = e4
% 73.36/11.48 | |
% 73.36/11.48 | | REDUCE: (2), (9) imply:
% 73.36/11.48 | | (10) $false
% 73.36/11.48 | |
% 73.36/11.48 | | CLOSE: (10) is inconsistent.
% 73.36/11.48 | |
% 73.36/11.48 | Case 2:
% 73.36/11.48 | |
% 73.36/11.48 | | (11) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.36/11.48 | |
% 73.36/11.48 | | REF_CLOSE: (1), (3), (5), (6), (11) are inconsistent by sub-proof #79.
% 73.36/11.48 | |
% 73.36/11.48 | End of split
% 73.36/11.48 |
% 73.36/11.48 End of proof
% 73.36/11.48
% 73.36/11.48 Sub-proof #68 shows that the following formulas are inconsistent:
% 73.36/11.48 ----------------------------------------------------------------
% 73.36/11.48 (1) all_6_22 = all_4_14
% 73.36/11.48 (2) all_6_22 = e4
% 73.36/11.48 (3) ~ (all_4_14 = e4)
% 73.36/11.48
% 73.36/11.48 Begin of proof
% 73.36/11.48 |
% 73.36/11.48 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.48 | (4) all_4_14 = e4
% 73.36/11.48 |
% 73.36/11.48 | SIMP: (4) implies:
% 73.36/11.48 | (5) all_4_14 = e4
% 73.36/11.48 |
% 73.36/11.48 | REDUCE: (3), (5) imply:
% 73.36/11.48 | (6) $false
% 73.36/11.48 |
% 73.36/11.48 | CLOSE: (6) is inconsistent.
% 73.36/11.48 |
% 73.36/11.48 End of proof
% 73.36/11.48
% 73.36/11.48 Sub-proof #69 shows that the following formulas are inconsistent:
% 73.36/11.48 ----------------------------------------------------------------
% 73.36/11.48 (1) all_6_20 = all_4_4
% 73.36/11.48 (2) all_6_20 = e2
% 73.36/11.48 (3) ~ (all_4_4 = e2)
% 73.36/11.48
% 73.36/11.48 Begin of proof
% 73.36/11.48 |
% 73.36/11.48 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.48 | (4) all_4_4 = e2
% 73.36/11.48 |
% 73.36/11.48 | SIMP: (4) implies:
% 73.36/11.48 | (5) all_4_4 = e2
% 73.36/11.48 |
% 73.36/11.48 | REDUCE: (3), (5) imply:
% 73.36/11.48 | (6) $false
% 73.36/11.48 |
% 73.36/11.48 | CLOSE: (6) is inconsistent.
% 73.36/11.48 |
% 73.36/11.48 End of proof
% 73.36/11.48
% 73.36/11.48 Sub-proof #70 shows that the following formulas are inconsistent:
% 73.36/11.48 ----------------------------------------------------------------
% 73.36/11.48 (1) all_8_8 = e3
% 73.36/11.48 (2) all_8_8 = e2
% 73.36/11.48 (3) ~ (e3 = e2)
% 73.36/11.48
% 73.36/11.48 Begin of proof
% 73.36/11.48 |
% 73.36/11.48 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.48 | (4) e3 = e2
% 73.36/11.48 |
% 73.36/11.48 | SIMP: (4) implies:
% 73.36/11.48 | (5) e3 = e2
% 73.36/11.48 |
% 73.36/11.48 | REDUCE: (3), (5) imply:
% 73.36/11.48 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #71 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_15 = e4
% 73.36/11.49 (2) all_8_15 = e2
% 73.36/11.49 (3) ~ (e4 = e2)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.49 | (4) e4 = e2
% 73.36/11.49 |
% 73.36/11.49 | SIMP: (4) implies:
% 73.36/11.49 | (5) e4 = e2
% 73.36/11.49 |
% 73.36/11.49 | REDUCE: (3), (5) imply:
% 73.36/11.49 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #72 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_13 = all_4_8
% 73.36/11.49 (2) all_8_13 = e2
% 73.36/11.49 (3) ~ (all_4_8 = e2)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.49 | (4) all_4_8 = e2
% 73.36/11.49 |
% 73.36/11.49 | SIMP: (4) implies:
% 73.36/11.49 | (5) all_4_8 = e2
% 73.36/11.49 |
% 73.36/11.49 | REDUCE: (3), (5) imply:
% 73.36/11.49 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #73 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_12 = all_4_3
% 73.36/11.49 (2) all_8_12 = e2
% 73.36/11.49 (3) ~ (all_4_3 = e2)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.49 | (4) all_4_3 = e2
% 73.36/11.49 |
% 73.36/11.49 | SIMP: (4) implies:
% 73.36/11.49 | (5) all_4_3 = e2
% 73.36/11.49 |
% 73.36/11.49 | REDUCE: (3), (5) imply:
% 73.36/11.49 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #74 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_21 = all_4_9
% 73.36/11.49 (2) all_8_21 = e0
% 73.36/11.49 (3) ~ (all_4_9 = e0)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.49 | (4) all_4_9 = e0
% 73.36/11.49 |
% 73.36/11.49 | SIMP: (4) implies:
% 73.36/11.49 | (5) all_4_9 = e0
% 73.36/11.49 |
% 73.36/11.49 | REDUCE: (3), (5) imply:
% 73.36/11.49 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #75 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_20 = all_4_4
% 73.36/11.49 (2) ~ (all_4_4 = e0)
% 73.36/11.49 (3) all_8_12 = e0 | all_8_20 = e0
% 73.36/11.49 (4) ~ (all_4_3 = e0)
% 73.36/11.49 (5) all_8_12 = all_4_3
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | BETA: splitting (3) gives:
% 73.36/11.49 |
% 73.36/11.49 | Case 1:
% 73.36/11.49 | |
% 73.36/11.49 | | (6) all_8_12 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | COMBINE_EQS: (5), (6) imply:
% 73.36/11.49 | | (7) all_4_3 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | SIMP: (7) implies:
% 73.36/11.49 | | (8) all_4_3 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | REDUCE: (4), (8) imply:
% 73.36/11.49 | | (9) $false
% 73.36/11.49 | |
% 73.36/11.49 | | CLOSE: (9) is inconsistent.
% 73.36/11.49 | |
% 73.36/11.49 | Case 2:
% 73.36/11.49 | |
% 73.36/11.49 | | (10) all_8_20 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | COMBINE_EQS: (1), (10) imply:
% 73.36/11.49 | | (11) all_4_4 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | SIMP: (11) implies:
% 73.36/11.49 | | (12) all_4_4 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | REDUCE: (2), (12) imply:
% 73.36/11.49 | | (13) $false
% 73.36/11.49 | |
% 73.36/11.49 | | CLOSE: (13) is inconsistent.
% 73.36/11.49 | |
% 73.36/11.49 | End of split
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #76 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_8_10 = all_4_16
% 73.36/11.49 (2) all_8_10 = e0
% 73.36/11.49 (3) ~ (all_4_16 = e0)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.49 | (4) all_4_16 = e0
% 73.36/11.49 |
% 73.36/11.49 | SIMP: (4) implies:
% 73.36/11.49 | (5) all_4_16 = e0
% 73.36/11.49 |
% 73.36/11.49 | REDUCE: (3), (5) imply:
% 73.36/11.49 | (6) $false
% 73.36/11.49 |
% 73.36/11.49 | CLOSE: (6) is inconsistent.
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #77 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) ~ (all_10_1 = e1) | (all_10_2 = e2 & ~ (unit = e1))
% 73.36/11.49 (2) all_10_1 = e1
% 73.36/11.49 (3) all_10_2 = all_4_15
% 73.36/11.49 (4) ~ (all_4_15 = e2)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | BETA: splitting (1) gives:
% 73.36/11.49 |
% 73.36/11.49 | Case 1:
% 73.36/11.49 | |
% 73.36/11.49 | | (5) ~ (all_10_1 = e1)
% 73.36/11.49 | |
% 73.36/11.49 | | REDUCE: (2), (5) imply:
% 73.36/11.49 | | (6) $false
% 73.36/11.49 | |
% 73.36/11.49 | | CLOSE: (6) is inconsistent.
% 73.36/11.49 | |
% 73.36/11.49 | Case 2:
% 73.36/11.49 | |
% 73.36/11.49 | | (7) all_10_2 = e2 & ~ (unit = e1)
% 73.36/11.49 | |
% 73.36/11.49 | | ALPHA: (7) implies:
% 73.36/11.49 | | (8) all_10_2 = e2
% 73.36/11.49 | |
% 73.36/11.49 | | COMBINE_EQS: (3), (8) imply:
% 73.36/11.49 | | (9) all_4_15 = e2
% 73.36/11.49 | |
% 73.36/11.49 | | SIMP: (9) implies:
% 73.36/11.49 | | (10) all_4_15 = e2
% 73.36/11.49 | |
% 73.36/11.49 | | REDUCE: (4), (10) imply:
% 73.36/11.49 | | (11) $false
% 73.36/11.49 | |
% 73.36/11.49 | | CLOSE: (11) is inconsistent.
% 73.36/11.49 | |
% 73.36/11.49 | End of split
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #78 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_6_4 = all_4_20
% 73.36/11.49 (2) ~ (all_4_20 = e0)
% 73.36/11.49 (3) ~ (all_4_20 = e1)
% 73.36/11.49 (4) ~ (all_4_20 = e3)
% 73.36/11.49 (5) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | BETA: splitting (5) gives:
% 73.36/11.49 |
% 73.36/11.49 | Case 1:
% 73.36/11.49 | |
% 73.36/11.49 | | (6) all_6_4 = e1
% 73.36/11.49 | |
% 73.36/11.49 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #82.
% 73.36/11.49 | |
% 73.36/11.49 | Case 2:
% 73.36/11.49 | |
% 73.36/11.49 | | (7) all_6_4 = e3 | all_6_4 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #81.
% 73.36/11.49 | |
% 73.36/11.49 | End of split
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #79 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) ~ (all_4_5 = e0)
% 73.36/11.49 (2) all_6_1 = all_4_5
% 73.36/11.49 (3) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0
% 73.36/11.49 (4) ~ (all_4_5 = e3)
% 73.36/11.49 (5) ~ (all_4_5 = e1)
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | BETA: splitting (3) gives:
% 73.36/11.49 |
% 73.36/11.49 | Case 1:
% 73.36/11.49 | |
% 73.36/11.49 | | (6) all_6_1 = e1
% 73.36/11.49 | |
% 73.36/11.49 | | COMBINE_EQS: (2), (6) imply:
% 73.36/11.49 | | (7) all_4_5 = e1
% 73.36/11.49 | |
% 73.36/11.49 | | SIMP: (7) implies:
% 73.36/11.49 | | (8) all_4_5 = e1
% 73.36/11.49 | |
% 73.36/11.49 | | REDUCE: (5), (8) imply:
% 73.36/11.49 | | (9) $false
% 73.36/11.49 | |
% 73.36/11.49 | | CLOSE: (9) is inconsistent.
% 73.36/11.49 | |
% 73.36/11.49 | Case 2:
% 73.36/11.49 | |
% 73.36/11.49 | | (10) all_6_1 = e3 | all_6_1 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | BETA: splitting (10) gives:
% 73.36/11.49 | |
% 73.36/11.49 | | Case 1:
% 73.36/11.49 | | |
% 73.36/11.49 | | | (11) all_6_1 = e3
% 73.36/11.49 | | |
% 73.36/11.49 | | | COMBINE_EQS: (2), (11) imply:
% 73.36/11.49 | | | (12) all_4_5 = e3
% 73.36/11.49 | | |
% 73.36/11.49 | | | SIMP: (12) implies:
% 73.36/11.49 | | | (13) all_4_5 = e3
% 73.36/11.49 | | |
% 73.36/11.49 | | | REDUCE: (4), (13) imply:
% 73.36/11.49 | | | (14) $false
% 73.36/11.49 | | |
% 73.36/11.49 | | | CLOSE: (14) is inconsistent.
% 73.36/11.49 | | |
% 73.36/11.49 | | Case 2:
% 73.36/11.49 | | |
% 73.36/11.49 | | | (15) all_6_1 = e0
% 73.36/11.49 | | |
% 73.36/11.49 | | | COMBINE_EQS: (2), (15) imply:
% 73.36/11.49 | | | (16) all_4_5 = e0
% 73.36/11.49 | | |
% 73.36/11.49 | | | SIMP: (16) implies:
% 73.36/11.49 | | | (17) all_4_5 = e0
% 73.36/11.49 | | |
% 73.36/11.49 | | | REDUCE: (1), (17) imply:
% 73.36/11.49 | | | (18) $false
% 73.36/11.49 | | |
% 73.36/11.49 | | | CLOSE: (18) is inconsistent.
% 73.36/11.49 | | |
% 73.36/11.49 | | End of split
% 73.36/11.49 | |
% 73.36/11.49 | End of split
% 73.36/11.49 |
% 73.36/11.49 End of proof
% 73.36/11.49
% 73.36/11.49 Sub-proof #80 shows that the following formulas are inconsistent:
% 73.36/11.49 ----------------------------------------------------------------
% 73.36/11.49 (1) all_6_4 = all_4_20
% 73.36/11.49 (2) ~ (all_4_20 = e4)
% 73.36/11.49 (3) ~ (all_4_20 = e0)
% 73.36/11.49 (4) ~ (all_4_20 = e1)
% 73.36/11.49 (5) ~ (all_4_20 = e3)
% 73.36/11.49 (6) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.36/11.49
% 73.36/11.49 Begin of proof
% 73.36/11.49 |
% 73.36/11.49 | BETA: splitting (6) gives:
% 73.36/11.49 |
% 73.36/11.49 | Case 1:
% 73.36/11.49 | |
% 73.36/11.49 | | (7) all_6_4 = e4
% 73.36/11.49 | |
% 73.36/11.49 | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #83.
% 73.36/11.49 | |
% 73.36/11.49 | Case 2:
% 73.36/11.49 | |
% 73.36/11.49 | | (8) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0
% 73.36/11.49 | |
% 73.36/11.49 | | BETA: splitting (8) gives:
% 73.36/11.49 | |
% 73.36/11.49 | | Case 1:
% 73.36/11.49 | | |
% 73.36/11.49 | | | (9) all_6_4 = e1
% 73.36/11.49 | | |
% 73.36/11.49 | | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #82.
% 73.36/11.49 | | |
% 73.36/11.49 | | Case 2:
% 73.36/11.49 | | |
% 73.36/11.49 | | | (10) all_6_4 = e3 | all_6_4 = e0
% 73.36/11.49 | | |
% 73.36/11.49 | | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #81.
% 73.36/11.49 | | |
% 73.36/11.49 | | End of split
% 73.36/11.49 | |
% 73.36/11.49 | End of split
% 73.36/11.49 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #81 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_4 = e3 | all_6_4 = e0
% 73.36/11.50 (2) all_6_4 = all_4_20
% 73.36/11.50 (3) ~ (all_4_20 = e3)
% 73.36/11.50 (4) ~ (all_4_20 = e0)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (1) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (5) all_6_4 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (5) imply:
% 73.36/11.50 | | (6) all_4_20 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | SIMP: (6) implies:
% 73.36/11.50 | | (7) all_4_20 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (3), (7) imply:
% 73.36/11.50 | | (8) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (8) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (9) all_6_4 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (9) imply:
% 73.36/11.50 | | (10) all_4_20 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | SIMP: (10) implies:
% 73.36/11.50 | | (11) all_4_20 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (4), (11) imply:
% 73.36/11.50 | | (12) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (12) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #82 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_4 = all_4_20
% 73.36/11.50 (2) all_6_4 = e1
% 73.36/11.50 (3) ~ (all_4_20 = e1)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.50 | (4) all_4_20 = e1
% 73.36/11.50 |
% 73.36/11.50 | SIMP: (4) implies:
% 73.36/11.50 | (5) all_4_20 = e1
% 73.36/11.50 |
% 73.36/11.50 | REDUCE: (3), (5) imply:
% 73.36/11.50 | (6) $false
% 73.36/11.50 |
% 73.36/11.50 | CLOSE: (6) is inconsistent.
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #83 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_4 = all_4_20
% 73.36/11.50 (2) all_6_4 = e4
% 73.36/11.50 (3) ~ (all_4_20 = e4)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.50 | (4) all_4_20 = e4
% 73.36/11.50 |
% 73.36/11.50 | SIMP: (4) implies:
% 73.36/11.50 | (5) all_4_20 = e4
% 73.36/11.50 |
% 73.36/11.50 | REDUCE: (3), (5) imply:
% 73.36/11.50 | (6) $false
% 73.36/11.50 |
% 73.36/11.50 | CLOSE: (6) is inconsistent.
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #84 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_8_15 = e4
% 73.36/11.50 (2) all_8_15 = e3
% 73.36/11.50 (3) ~ (e4 = e3)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.50 | (4) e4 = e3
% 73.36/11.50 |
% 73.36/11.50 | SIMP: (4) implies:
% 73.36/11.50 | (5) e4 = e3
% 73.36/11.50 |
% 73.36/11.50 | REDUCE: (3), (5) imply:
% 73.36/11.50 | (6) $false
% 73.36/11.50 |
% 73.36/11.50 | CLOSE: (6) is inconsistent.
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #85 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_22 = all_4_14
% 73.36/11.50 (2) ~ (all_4_14 = e0)
% 73.36/11.50 (3) ~ (all_4_14 = e3)
% 73.36/11.50 (4) ~ (all_4_14 = e1)
% 73.36/11.50 (5) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (5) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (6) all_6_22 = e1
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (1), (6) imply:
% 73.36/11.50 | | (7) all_4_14 = e1
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (4), (7) imply:
% 73.36/11.50 | | (8) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (8) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (9) all_6_22 = e3 | all_6_22 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #86.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #86 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_22 = e3 | all_6_22 = e0
% 73.36/11.50 (2) all_6_22 = all_4_14
% 73.36/11.50 (3) ~ (all_4_14 = e3)
% 73.36/11.50 (4) ~ (all_4_14 = e0)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (1) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (5) all_6_22 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (5) imply:
% 73.36/11.50 | | (6) all_4_14 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (3), (6) imply:
% 73.36/11.50 | | (7) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (7) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (8) all_6_22 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (8) imply:
% 73.36/11.50 | | (9) all_4_14 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (4), (9) imply:
% 73.36/11.50 | | (10) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (10) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #87 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) ~ (all_4_10 = e4)
% 73.36/11.50 (2) ~ (all_4_10 = e0)
% 73.36/11.50 (3) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.36/11.50 (4) ~ (all_4_10 = e3)
% 73.36/11.50 (5) ~ (all_4_10 = e1)
% 73.36/11.50 (6) all_6_2 = all_4_10
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (3) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (7) all_6_2 = e4
% 73.36/11.50 | |
% 73.36/11.50 | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #90.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (8) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REF_CLOSE: (2), (4), (5), (6), (8) are inconsistent by sub-proof #88.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #88 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0
% 73.36/11.50 (2) ~ (all_4_10 = e0)
% 73.36/11.50 (3) ~ (all_4_10 = e3)
% 73.36/11.50 (4) ~ (all_4_10 = e1)
% 73.36/11.50 (5) all_6_2 = all_4_10
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (1) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (6) all_6_2 = e1
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (5), (6) imply:
% 73.36/11.50 | | (7) all_4_10 = e1
% 73.36/11.50 | |
% 73.36/11.50 | | SIMP: (7) implies:
% 73.36/11.50 | | (8) all_4_10 = e1
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (4), (8) imply:
% 73.36/11.50 | | (9) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (9) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (10) all_6_2 = e3 | all_6_2 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REF_CLOSE: (2), (3), (5), (10) are inconsistent by sub-proof #89.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #89 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_2 = e3 | all_6_2 = e0
% 73.36/11.50 (2) all_6_2 = all_4_10
% 73.36/11.50 (3) ~ (all_4_10 = e3)
% 73.36/11.50 (4) ~ (all_4_10 = e0)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | BETA: splitting (1) gives:
% 73.36/11.50 |
% 73.36/11.50 | Case 1:
% 73.36/11.50 | |
% 73.36/11.50 | | (5) all_6_2 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (5) imply:
% 73.36/11.50 | | (6) all_4_10 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | SIMP: (6) implies:
% 73.36/11.50 | | (7) all_4_10 = e3
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (3), (7) imply:
% 73.36/11.50 | | (8) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (8) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | Case 2:
% 73.36/11.50 | |
% 73.36/11.50 | | (9) all_6_2 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | COMBINE_EQS: (2), (9) imply:
% 73.36/11.50 | | (10) all_4_10 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | SIMP: (10) implies:
% 73.36/11.50 | | (11) all_4_10 = e0
% 73.36/11.50 | |
% 73.36/11.50 | | REDUCE: (4), (11) imply:
% 73.36/11.50 | | (12) $false
% 73.36/11.50 | |
% 73.36/11.50 | | CLOSE: (12) is inconsistent.
% 73.36/11.50 | |
% 73.36/11.50 | End of split
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #90 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) all_6_2 = all_4_10
% 73.36/11.50 (2) all_6_2 = e4
% 73.36/11.50 (3) ~ (all_4_10 = e4)
% 73.36/11.50
% 73.36/11.50 Begin of proof
% 73.36/11.50 |
% 73.36/11.50 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.50 | (4) all_4_10 = e4
% 73.36/11.50 |
% 73.36/11.50 | SIMP: (4) implies:
% 73.36/11.50 | (5) all_4_10 = e4
% 73.36/11.50 |
% 73.36/11.50 | REDUCE: (3), (5) imply:
% 73.36/11.50 | (6) $false
% 73.36/11.50 |
% 73.36/11.50 | CLOSE: (6) is inconsistent.
% 73.36/11.50 |
% 73.36/11.50 End of proof
% 73.36/11.50
% 73.36/11.50 Sub-proof #91 shows that the following formulas are inconsistent:
% 73.36/11.50 ----------------------------------------------------------------
% 73.36/11.50 (1) ~ (e2 = e0)
% 73.36/11.50 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.36/11.50 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.36/11.50 (3) op(unit, e2) = e2
% 73.36/11.51 (4) op(e1, e2) = e0
% 73.36/11.51 (5) unit = e1
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) op(e1, e2) = e2
% 73.36/11.51 |
% 73.36/11.51 | GROUND_INST: instantiating (2) with e0, e2, e2, e1, simplifying with (4), (6)
% 73.36/11.51 | gives:
% 73.36/11.51 | (7) e2 = e0
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (1), (7) imply:
% 73.36/11.51 | (8) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (8) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #92 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_10 = all_4_16
% 73.36/11.51 (2) all_8_10 = e4
% 73.36/11.51 (3) ~ (all_4_16 = e4)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) all_4_16 = e4
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) all_4_16 = e4
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #93 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_6_13 = all_4_17
% 73.36/11.51 (2) all_6_13 = e4
% 73.36/11.51 (3) ~ (all_4_17 = e4)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) all_4_17 = e4
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) all_4_17 = e4
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #94 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_0 = e2
% 73.36/11.51 (2) all_8_0 = e0
% 73.36/11.51 (3) ~ (e2 = e0)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) e2 = e0
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) e2 = e0
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #95 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_3 = e1
% 73.36/11.51 (2) all_8_3 = e0
% 73.36/11.51 (3) ~ (e1 = e0)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) e1 = e0
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) e1 = e0
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #96 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) ~ (all_10_14 = e0) | (all_10_15 = e2 & ~ (unit = e0))
% 73.36/11.51 (2) all_10_14 = e0
% 73.36/11.51 (3) all_10_15 = all_4_23
% 73.36/11.51 (4) ~ (all_4_23 = e2)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | BETA: splitting (1) gives:
% 73.36/11.51 |
% 73.36/11.51 | Case 1:
% 73.36/11.51 | |
% 73.36/11.51 | | (5) ~ (all_10_14 = e0)
% 73.36/11.51 | |
% 73.36/11.51 | | REDUCE: (2), (5) imply:
% 73.36/11.51 | | (6) $false
% 73.36/11.51 | |
% 73.36/11.51 | | CLOSE: (6) is inconsistent.
% 73.36/11.51 | |
% 73.36/11.51 | Case 2:
% 73.36/11.51 | |
% 73.36/11.51 | | (7) all_10_15 = e2 & ~ (unit = e0)
% 73.36/11.51 | |
% 73.36/11.51 | | ALPHA: (7) implies:
% 73.36/11.51 | | (8) all_10_15 = e2
% 73.36/11.51 | |
% 73.36/11.51 | | COMBINE_EQS: (3), (8) imply:
% 73.36/11.51 | | (9) all_4_23 = e2
% 73.36/11.51 | |
% 73.36/11.51 | | REDUCE: (4), (9) imply:
% 73.36/11.51 | | (10) $false
% 73.36/11.51 | |
% 73.36/11.51 | | CLOSE: (10) is inconsistent.
% 73.36/11.51 | |
% 73.36/11.51 | End of split
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #97 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) ~ (e4 = e1)
% 73.36/11.51 (2) ~ (e2 = e1)
% 73.36/11.51 (3) all_8_14 = e0
% 73.36/11.51 (4) all_8_19 = e3
% 73.36/11.51 (5) all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 73.36/11.51 = e1
% 73.36/11.51 (6) all_8_15 = e4
% 73.36/11.51 (7) ~ (e3 = e1)
% 73.36/11.51 (8) ~ (e1 = e0)
% 73.36/11.51 (9) ~ (all_4_3 = e1)
% 73.36/11.51 (10) all_8_13 = e2
% 73.36/11.51 (11) all_8_12 = all_4_3
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | BETA: splitting (5) gives:
% 73.36/11.51 |
% 73.36/11.51 | Case 1:
% 73.36/11.51 | |
% 73.36/11.51 | | (12) all_8_12 = e1
% 73.36/11.51 | |
% 73.36/11.51 | | REF_CLOSE: (9), (11), (12) are inconsistent by sub-proof #100.
% 73.36/11.51 | |
% 73.36/11.51 | Case 2:
% 73.36/11.51 | |
% 73.36/11.51 | | (13) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.36/11.51 | |
% 73.36/11.51 | | BETA: splitting (13) gives:
% 73.36/11.51 | |
% 73.36/11.51 | | Case 1:
% 73.36/11.51 | | |
% 73.36/11.51 | | | (14) all_8_13 = e1
% 73.36/11.51 | | |
% 73.36/11.51 | | | REF_CLOSE: (2), (10), (14) are inconsistent by sub-proof #99.
% 73.36/11.51 | | |
% 73.36/11.51 | | Case 2:
% 73.36/11.51 | | |
% 73.36/11.51 | | | (15) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 73.36/11.51 | | |
% 73.36/11.51 | | | BETA: splitting (15) gives:
% 73.36/11.51 | | |
% 73.36/11.51 | | | Case 1:
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | (16) all_8_14 = e1
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | COMBINE_EQS: (3), (16) imply:
% 73.36/11.51 | | | | (17) e1 = e0
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | REDUCE: (8), (17) imply:
% 73.36/11.51 | | | | (18) $false
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | CLOSE: (18) is inconsistent.
% 73.36/11.51 | | | |
% 73.36/11.51 | | | Case 2:
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | (19) all_8_15 = e1 | all_8_19 = e1
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | BETA: splitting (19) gives:
% 73.36/11.51 | | | |
% 73.36/11.51 | | | | Case 1:
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | (20) all_8_15 = e1
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | REF_CLOSE: (1), (6), (20) are inconsistent by sub-proof #98.
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | Case 2:
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | (21) all_8_19 = e1
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | COMBINE_EQS: (4), (21) imply:
% 73.36/11.51 | | | | | (22) e3 = e1
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | SIMP: (22) implies:
% 73.36/11.51 | | | | | (23) e3 = e1
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | REDUCE: (7), (23) imply:
% 73.36/11.51 | | | | | (24) $false
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | | CLOSE: (24) is inconsistent.
% 73.36/11.51 | | | | |
% 73.36/11.51 | | | | End of split
% 73.36/11.51 | | | |
% 73.36/11.51 | | | End of split
% 73.36/11.51 | | |
% 73.36/11.51 | | End of split
% 73.36/11.51 | |
% 73.36/11.51 | End of split
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #98 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_15 = e4
% 73.36/11.51 (2) all_8_15 = e1
% 73.36/11.51 (3) ~ (e4 = e1)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) e4 = e1
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) e4 = e1
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #99 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_13 = e2
% 73.36/11.51 (2) all_8_13 = e1
% 73.36/11.51 (3) ~ (e2 = e1)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) e2 = e1
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) e2 = e1
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #100 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_12 = all_4_3
% 73.36/11.51 (2) all_8_12 = e1
% 73.36/11.51 (3) ~ (all_4_3 = e1)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) all_4_3 = e1
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) all_4_3 = e1
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.51 | (6) $false
% 73.36/11.51 |
% 73.36/11.51 | CLOSE: (6) is inconsistent.
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #101 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) ~ (e2 = e0)
% 73.36/11.51 (2) all_8_23 = e2
% 73.36/11.51 (3) all_8_15 = e4
% 73.36/11.51 (4) ~ (e4 = e0)
% 73.36/11.51 (5) all_8_15 = e0 | all_8_23 = e0
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | BETA: splitting (5) gives:
% 73.36/11.51 |
% 73.36/11.51 | Case 1:
% 73.36/11.51 | |
% 73.36/11.51 | | (6) all_8_15 = e0
% 73.36/11.51 | |
% 73.36/11.51 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #103.
% 73.36/11.51 | |
% 73.36/11.51 | Case 2:
% 73.36/11.51 | |
% 73.36/11.51 | | (7) all_8_23 = e0
% 73.36/11.51 | |
% 73.36/11.51 | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #102.
% 73.36/11.51 | |
% 73.36/11.51 | End of split
% 73.36/11.51 |
% 73.36/11.51 End of proof
% 73.36/11.51
% 73.36/11.51 Sub-proof #102 shows that the following formulas are inconsistent:
% 73.36/11.51 ----------------------------------------------------------------
% 73.36/11.51 (1) all_8_23 = e2
% 73.36/11.51 (2) all_8_23 = e0
% 73.36/11.51 (3) ~ (e2 = e0)
% 73.36/11.51
% 73.36/11.51 Begin of proof
% 73.36/11.51 |
% 73.36/11.51 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.51 | (4) e2 = e0
% 73.36/11.51 |
% 73.36/11.51 | SIMP: (4) implies:
% 73.36/11.51 | (5) e2 = e0
% 73.36/11.51 |
% 73.36/11.51 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #103 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_8_15 = e4
% 73.36/11.52 (2) all_8_15 = e0
% 73.36/11.52 (3) ~ (e4 = e0)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) e4 = e0
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) e4 = e0
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #104 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) ~ (all_4_2 = e1)
% 73.36/11.52 (2) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.36/11.52 (3) all_6_10 = all_4_2
% 73.36/11.52 (4) ~ (all_4_2 = e4)
% 73.36/11.52 (5) ~ (all_4_2 = e0)
% 73.36/11.52 (6) ~ (all_4_2 = e3)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | BETA: splitting (2) gives:
% 73.36/11.52 |
% 73.36/11.52 | Case 1:
% 73.36/11.52 | |
% 73.36/11.52 | | (7) all_6_10 = e4
% 73.36/11.52 | |
% 73.36/11.52 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #108.
% 73.36/11.52 | |
% 73.36/11.52 | Case 2:
% 73.36/11.52 | |
% 73.36/11.52 | | (8) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #105.
% 73.36/11.52 | |
% 73.36/11.52 | End of split
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #105 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) ~ (all_4_2 = e1)
% 73.36/11.52 (2) all_6_10 = all_4_2
% 73.36/11.52 (3) all_6_10 = e3 | all_6_10 = e1 | all_6_10 = e0
% 73.36/11.52 (4) ~ (all_4_2 = e0)
% 73.36/11.52 (5) ~ (all_4_2 = e3)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | BETA: splitting (3) gives:
% 73.36/11.52 |
% 73.36/11.52 | Case 1:
% 73.36/11.52 | |
% 73.36/11.52 | | (6) all_6_10 = e1
% 73.36/11.52 | |
% 73.36/11.52 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #107.
% 73.36/11.52 | |
% 73.36/11.52 | Case 2:
% 73.36/11.52 | |
% 73.36/11.52 | | (7) all_6_10 = e3 | all_6_10 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | REF_CLOSE: (2), (4), (5), (7) are inconsistent by sub-proof #106.
% 73.36/11.52 | |
% 73.36/11.52 | End of split
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #106 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_10 = e3 | all_6_10 = e0
% 73.36/11.52 (2) all_6_10 = all_4_2
% 73.36/11.52 (3) ~ (all_4_2 = e3)
% 73.36/11.52 (4) ~ (all_4_2 = e0)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | BETA: splitting (1) gives:
% 73.36/11.52 |
% 73.36/11.52 | Case 1:
% 73.36/11.52 | |
% 73.36/11.52 | | (5) all_6_10 = e3
% 73.36/11.52 | |
% 73.36/11.52 | | COMBINE_EQS: (2), (5) imply:
% 73.36/11.52 | | (6) all_4_2 = e3
% 73.36/11.52 | |
% 73.36/11.52 | | SIMP: (6) implies:
% 73.36/11.52 | | (7) all_4_2 = e3
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (3), (7) imply:
% 73.36/11.52 | | (8) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (8) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | Case 2:
% 73.36/11.52 | |
% 73.36/11.52 | | (9) all_6_10 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | COMBINE_EQS: (2), (9) imply:
% 73.36/11.52 | | (10) all_4_2 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | SIMP: (10) implies:
% 73.36/11.52 | | (11) all_4_2 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (4), (11) imply:
% 73.36/11.52 | | (12) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (12) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | End of split
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #107 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_10 = all_4_2
% 73.36/11.52 (2) all_6_10 = e1
% 73.36/11.52 (3) ~ (all_4_2 = e1)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) all_4_2 = e1
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) all_4_2 = e1
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #108 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_10 = all_4_2
% 73.36/11.52 (2) all_6_10 = e4
% 73.36/11.52 (3) ~ (all_4_2 = e4)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) all_4_2 = e4
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) all_4_2 = e4
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #109 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_10 = all_4_2
% 73.36/11.52 (2) all_6_10 = e2
% 73.36/11.52 (3) ~ (all_4_2 = e2)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) all_4_2 = e2
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) all_4_2 = e2
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #110 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) ~ (all_10_13 = e2) | (all_10_14 = e3 & ~ (unit = e2))
% 73.36/11.52 (2) all_10_13 = e2
% 73.36/11.52 (3) all_10_14 = e0
% 73.36/11.52 (4) ~ (e3 = e0)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | BETA: splitting (1) gives:
% 73.36/11.52 |
% 73.36/11.52 | Case 1:
% 73.36/11.52 | |
% 73.36/11.52 | | (5) ~ (all_10_13 = e2)
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (2), (5) imply:
% 73.36/11.52 | | (6) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (6) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | Case 2:
% 73.36/11.52 | |
% 73.36/11.52 | | (7) all_10_14 = e3 & ~ (unit = e2)
% 73.36/11.52 | |
% 73.36/11.52 | | ALPHA: (7) implies:
% 73.36/11.52 | | (8) all_10_14 = e3
% 73.36/11.52 | |
% 73.36/11.52 | | COMBINE_EQS: (3), (8) imply:
% 73.36/11.52 | | (9) e3 = e0
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (4), (9) imply:
% 73.36/11.52 | | (10) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (10) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | End of split
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #111 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) ~ (all_10_22 = e3) | (all_10_9 = e2 & ~ (unit = e3))
% 73.36/11.52 (2) all_10_22 = e3
% 73.36/11.52 (3) all_10_9 = all_4_7
% 73.36/11.52 (4) ~ (all_4_7 = e2)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | BETA: splitting (1) gives:
% 73.36/11.52 |
% 73.36/11.52 | Case 1:
% 73.36/11.52 | |
% 73.36/11.52 | | (5) ~ (all_10_22 = e3)
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (2), (5) imply:
% 73.36/11.52 | | (6) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (6) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | Case 2:
% 73.36/11.52 | |
% 73.36/11.52 | | (7) all_10_9 = e2 & ~ (unit = e3)
% 73.36/11.52 | |
% 73.36/11.52 | | ALPHA: (7) implies:
% 73.36/11.52 | | (8) all_10_9 = e2
% 73.36/11.52 | |
% 73.36/11.52 | | COMBINE_EQS: (3), (8) imply:
% 73.36/11.52 | | (9) all_4_7 = e2
% 73.36/11.52 | |
% 73.36/11.52 | | SIMP: (9) implies:
% 73.36/11.52 | | (10) all_4_7 = e2
% 73.36/11.52 | |
% 73.36/11.52 | | REDUCE: (4), (10) imply:
% 73.36/11.52 | | (11) $false
% 73.36/11.52 | |
% 73.36/11.52 | | CLOSE: (11) is inconsistent.
% 73.36/11.52 | |
% 73.36/11.52 | End of split
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #112 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.36/11.52 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.36/11.52 (2) op(e1, e2) = e0
% 73.36/11.52 (3) op(e1, unit) = e1
% 73.36/11.52 (4) ~ (e1 = e0)
% 73.36/11.52 (5) unit = e2
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) op(e1, e2) = e1
% 73.36/11.52 |
% 73.36/11.52 | GROUND_INST: instantiating (1) with e0, e1, e2, e1, simplifying with (2), (6)
% 73.36/11.52 | gives:
% 73.36/11.52 | (7) e1 = e0
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (4), (7) imply:
% 73.36/11.52 | (8) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (8) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #113 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_2 = all_4_10
% 73.36/11.52 (2) all_6_2 = e2
% 73.36/11.52 (3) ~ (all_4_10 = e2)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) all_4_10 = e2
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) all_4_10 = e2
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #114 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_6_22 = all_4_14
% 73.36/11.52 (2) all_6_22 = e2
% 73.36/11.52 (3) ~ (all_4_14 = e2)
% 73.36/11.52
% 73.36/11.52 Begin of proof
% 73.36/11.52 |
% 73.36/11.52 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.52 | (4) all_4_14 = e2
% 73.36/11.52 |
% 73.36/11.52 | SIMP: (4) implies:
% 73.36/11.52 | (5) all_4_14 = e2
% 73.36/11.52 |
% 73.36/11.52 | REDUCE: (3), (5) imply:
% 73.36/11.52 | (6) $false
% 73.36/11.52 |
% 73.36/11.52 | CLOSE: (6) is inconsistent.
% 73.36/11.52 |
% 73.36/11.52 End of proof
% 73.36/11.52
% 73.36/11.52 Sub-proof #115 shows that the following formulas are inconsistent:
% 73.36/11.52 ----------------------------------------------------------------
% 73.36/11.52 (1) all_8_21 = all_4_9
% 73.36/11.53 (2) all_8_21 = e2
% 73.36/11.53 (3) ~ (all_4_9 = e2)
% 73.36/11.53
% 73.36/11.53 Begin of proof
% 73.36/11.53 |
% 73.36/11.53 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.53 | (4) all_4_9 = e2
% 73.36/11.53 |
% 73.36/11.53 | SIMP: (4) implies:
% 73.36/11.53 | (5) all_4_9 = e2
% 73.36/11.53 |
% 73.36/11.53 | REDUCE: (3), (5) imply:
% 73.36/11.53 | (6) $false
% 73.36/11.53 |
% 73.36/11.53 | CLOSE: (6) is inconsistent.
% 73.36/11.53 |
% 73.36/11.53 End of proof
% 73.36/11.53
% 73.36/11.53 Sub-proof #116 shows that the following formulas are inconsistent:
% 73.36/11.53 ----------------------------------------------------------------
% 73.36/11.53 (1) all_8_20 = all_4_4
% 73.36/11.53 (2) all_8_20 = e2
% 73.36/11.53 (3) ~ (all_4_4 = e2)
% 73.36/11.53
% 73.36/11.53 Begin of proof
% 73.36/11.53 |
% 73.36/11.53 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.53 | (4) all_4_4 = e2
% 73.36/11.53 |
% 73.36/11.53 | SIMP: (4) implies:
% 73.36/11.53 | (5) all_4_4 = e2
% 73.36/11.53 |
% 73.36/11.53 | REDUCE: (3), (5) imply:
% 73.36/11.53 | (6) $false
% 73.36/11.53 |
% 73.36/11.53 | CLOSE: (6) is inconsistent.
% 73.36/11.53 |
% 73.36/11.53 End of proof
% 73.36/11.53
% 73.36/11.53 Sub-proof #117 shows that the following formulas are inconsistent:
% 73.36/11.53 ----------------------------------------------------------------
% 73.36/11.53 (1) all_10_20 = e2
% 73.36/11.53 (2) all_10_20 = e1
% 73.36/11.53 (3) ~ (e2 = e1)
% 73.36/11.53
% 73.36/11.53 Begin of proof
% 73.36/11.53 |
% 73.36/11.53 | COMBINE_EQS: (1), (2) imply:
% 73.36/11.53 | (4) e2 = e1
% 73.36/11.53 |
% 73.36/11.53 | SIMP: (4) implies:
% 73.36/11.53 | (5) e2 = e1
% 73.36/11.53 |
% 73.36/11.53 | REDUCE: (3), (5) imply:
% 73.36/11.53 | (6) $false
% 73.36/11.53 |
% 73.36/11.53 | CLOSE: (6) is inconsistent.
% 73.36/11.53 |
% 73.36/11.53 End of proof
% 73.36/11.53 % SZS output end Proof for theBenchmark
% 73.36/11.53
% 73.36/11.53 10979ms
%------------------------------------------------------------------------------